Professor William Thomas Coffey
Fellow Emeritus, Electronic & Elect. Engineering
Publications and Further Research Outputs
Peer-Reviewed Publications
S. V. Titov, W. T. Coffey, M. Zarifakis, Y. P. Kalmykov, M. H. Al Bayyari and W. J. Dowling, Generalization to anomalous diffusion of Budó's treatment of polar molecules containing interacting rotating groups, Journal of Chemical Physics, 153, 2020, p044128-1 - 044128-8
Y. P. Kalmykov, S. V. Titov, W. T. Coffey, M. Zarifakis, W. J. Dowling and A. S. Titov, Anomalous diffusion of a dipole interacting with its surroundings, Journal of Chemical Physics, 152, (11), 2020, p114101-1 - 114101-11
S. V. Titov, W. T. Coffey, W. J. Dowling, M. Zarifakis, Y. P. Kalmykov, and A. S. Titov, Anomalous diffusion of molecules with rotating polar groups: The joint role played by inertia and dipole coupling in microwave and far-infrared absorption, Physical Review E, 102, (5), 2020, p052130-1 - 052130-11
M. Zarifakis, D.J. Byrne, W.T. Coffey, Y.P. Kalmykov, S.V. Titov, and S.J. Carrig, Comparison of coupled nonlinear oscillator models for the transient response of power generating stations connected to low inertia systems, IEEE Transactions on Power Systems, 35, (1), 2020, p795 - 802
William T. Coffey, Yuri P. Kalmykov and Sergei V. Titov, Thermal Fluctuations and Relaxation Processes in Nanomagnets, Singapore, World Scientific, 2020, 1 - 684pp
Y.P. Kalmykov, S.V. Titov, D.J. Byrne, W.T. Coffey, M. Zarifakis, and M.H. Al Bayyari, Dipole-dipole and exchange interaction effects on the magnetization relaxation of two macrospins: compared, Journal of Magnetism and Magnetic Materials, 507, 2020, p166814-1 - 166814-8
Marios Zarifakis, William T. Coffey, Yuri P. Kalmykov, Serguey V. Titov, Declan J. Byrne and Stephen J. Carrig, Active Damping of Power Oscillations Following Frequency Changes in Low Inertia Power Systems, IEEE Transactions on Power Systems, 34, (6), 2019, p4984 - 4992
D.J. Byrne, W.T. Coffey, Yu. P. Kalmykov and S.V. Titov, Theory of anomalous dielectric relaxation, Journal of Physics: Conference Series, 1322, 2019, p012037-1 - 012037-4
Y. P. Kalmykov, S. V. Titov, W. T. Coffey, and M. Zarifakis, Langevin equation for the dipole vector of an accidental symmetric top molecule, Journal of Molecular Liquids, 289, 2019, p111123-1 - 111123-5
Y. P. Kalmykov, S. V. Titov, W. T. Coffey, M. Zarifakis, and W. J. Dowling, Forced response and dynamic hysteresis of magnetic nanoparticles with mixed uniaxial and cubic anisotropy in superimposed strong ac and dc bias fields, Physical Review B, 99, (18), 2019, p184414-1 - 184414-13
D. Byrne, W. T. Coffey, Y. P. Kalmykov, and S. V. Titov, On a simple derivation of the very low damping escape rate for classical spins by modifying the method of Kramers, Physica A: Statistical Mechanics and its Applications, 527, 2019, p121195-1 - 121195-9
Nonlinear Dielectric Relaxation in AC and DC Electric Fields in, editor(s)R. Richter , Nonlinear Dielectric Spectroscopy, Berlin, Springer International Publishing AG, 2018, pp35 - 74, [P. M. Déjardin, W. T. Coffey, F. Ladieu and Yu. P. Kalmykov]
Yuri P. Kalmykov, Serguey V. Titov, William T. Coffey, and William J. Dowling, Finite-barrier correction for the ferromagnetic resonance frequency of nano magnets with various magneto crystalline anisotropies, Phys. Rev. B, 97, (22), 2018, p224418-1 - 224418-11
W. T. Coffey, M. Zarafakis, Y. P. Kalmykov, S. V. Titov, W. J. Dowling, and A.S. Titov, Cage model of polar fluids: Finite cage inertia generalisation , The Journal of Chemical Physics, 147, 2017, p034509-1 - 034509-9
Marios Zarifakis, William T. Coffey,Yuri P. Kalmykov, and Sergei V. Titov, Models for the transient stability of conventional power generating stations connected to low inertia systems, The European Physical Journal Plus, 2017, p13 pages
Y. P. Kalmykov, D. Byrne, W. T. Coffey, W. J. Dowling, S. V. Titov, and J. E. Wegrowe, Damping Dependence of Spin-Torque Effects in Thermally Assisted Magnetization Reversal, IEEE Transactions on Magnetics, 53, (10), 2017, Art. no. 1400308
W. T. Coffey and Yu. P. Kalmykov, The Langevin Equation, 4th edition, Singapore, World Scientific, 2017, 1 - 926pp
Spin relaxation in phase space in, editor(s)Stuart A. Rice and Aaron R. Dinner , Advances in Chemical Physics, vol. 160, New York, John Wiley Inc., 2016, pp41 - 275, [Yu. P. Kalmykov, W. T. Coffey, and S. V. Titov]
D. J. Byrne, W. T. Coffey, W. J. Dowling, Y. P. Kalmykov, and S. V. Titov, Spin transfer torque and dc bias magnetic field effects on the magnetisation reversal time of nanoscale ferromagnets at very low damping: Mean first-passage time versus numerical methods , Physical Review B, 93, (6), 2016, p064413-1 - 064413-15
Nijun Wei, Pierre-Michel Déjardin, Yuri P. Kalmykov and William T. Coffey, External dc bias-field effects in the nonlinear ac stationary response of dipolar particles in a mean-field potential , Physical Review E, 93, (4), 2016, p042208-1 - 042208-17
On the Kramers very low damping escape rate for point particles and classical spins in, editor(s)Stuart A. Rice and Aaron R. Dinner , Advances in Chemical Physics (Volume 156), New Jersey, USA, John Wiley and Sons Inc., 2015, pp393 - 459, [Declan J. Byrne, William T. Coffey, William J. Dowling, Yuri P. Kalmykov, and Serguey V. Titov]
D. J. Byrne, W. T. Coffey, Y. P. Kalmykov, S. V. Titov, and J. E. Wegrowe, Spin-transfer torque effects in the dynamic forced response of the magnetisation of the nanoscale ferromagnets in superimposed ac and dc bias fields in the presence of thermal agitation, Physical Review B, 91, (17), 2015, p174406-1 - 174406-14
W. T. Coffey, Yu. P. Kalmykov and S. V. Titov, Magnetization reversal time of magnetic nano particles at very low damping, Phys. Rev. B, 89, (5), 2014, p054408-
Nijun Wei, Declan Byrne, William T. Coffey, Yuri P. Kalmykov and Sergey V. Titov, Nonlinear frequency-dependent effects in the dc magnetisation of uniaxial magnetic nano particles in superimposed strong alternating current and direct current fields, J. Appl. Phys., 116, (17), 2014, p173903 - 173903-9
William T. Coffey, A Concise Treatise on Quantum Mechanics in Phase space, Review of A Concise Treatise on Quantum Mechanics in Phase space, by Thomas L Curtright and David B Fairlie , Contemporary Physics, 2014, p1-3
Marios Zarifakis and William. T. Coffey, Impact of elevated rate of change of frequency (ROCOF) on conventional power generation plant in the island of Ireland, VGB PowerTech Journal, 47, (8), 2014
William T. Coffey, Yuri P. Kalmykov and Nijun Wei, Nonlinear normal and anomalous response of non-interacting electric and magnetic dipoles subjected to strong AC and DC bias fields, Nonlinear Dyn, 2014, p1-7
High-frequency resonance absorption as evidence for oscillation in a well before escape from a metastable state in the Kramers energy controlled diffusion model in, editor(s)Yu. P. Kalmykov , Recent advances in broadband dielectric spectroscopy, Springer, 2013, pp151 - 162, [William T. Coffey, Yuri P. Kalmykov, Serguey V. Titov and D. S. F. Crothers]
Spectral definition of the characteristic times for anomalous diffusion in a potential in, editor(s)Yu. P. Kalmykov , Recet advances in broadband dielectric spectroscopy, Springer, 2013, pp131 - 150, [Yuri P. Kalmykov, William T. Coffey and Serguey V. Titov]
W. T. Coffey, Yuri P. Kalmykov and Serguey V. Titov , Fractional Fokker-Planck equation for anomalous diffusion in a potential: Exact matrix continued fraction solutions, Eur. Phys. J. Special Topics, 222, 2013, p1847 - 1856
Longest Relaxation Time of Relaxation Processes for Classical and Quantum Brownian Motion in a Potential: Escape Rate Theory Approach in, editor(s)Stuart A. Rice and Aaron R. Dinner , Advances in Chemical Physics (Volume 153), New Jersey, USA, John Wiley and Sons Inc., 2013, pp111 - 309, [William T. Coffey, Yuri P. Kalmykov, Serguey V. Titov and William J. Dowling]
Yu. P. Kalmykov, W. T. Coffey, S. V. Titov, J. E. Wegrowe and D. Byrne, Spin-torque effects in thermally assisted magnetisation reversal: Method of statistical moments, Phys. Rev. B, 88, (14), 2013, p144406-
W. T. Coffey and Yu. P. Kalmykov, The Langevin Equation with Application in Physics, Chemistry and Electrical Engineering, 3rd, Singapore, Word Scientific, 2012, 809pp
William T. Coffey and Yuri P. Kalmykov, Thermal fluctuations of magnetic nanoparticles: fifty years after Brown , Journal of Applied Physics, 112, (12), 2012
Yu. P. Kalmykov, S. V. Titov and W. T. Coffey, Fractional diffusion in a periodic potential: Overdamped and inertia corrected solutions for the spectrum of the velocity correlation function , Phys. Rev. E, 85, 2012
Turi P. Kalmykov, Serguey V. Titov and William T. Coffey, Statistical moment equations for stochastic spin dynamics in phase space: a uniaxial paramagnet subjected to a dc bias field of arbitrary orientation, Physical Review B, 86, 2012, p104435-
W. T. Coffey, Yu. P. Kalmykov, S. V. Titov, L. Cleary, and W. J. Dowling, Quantum master equations in phase space applied to Brownian motion in a tilted periodic potential, Journal of Physics A: Mathematical and Theoretical , 45, 2012
B. P. J. Mulligan, Yu. P. Kalmykov, S. V. Titov, and W. T. Coffey, Spin dynamics in phase space, Noise in Non-Equilibrium Systems: From Physics to Biology, International Workshop, Dresden, April 11 - 14, 2011, 2011
Yu. P. Kalmykov, B. P. J. Mulligan, S. V. Titov, and W. T. Coffey, Master equation in phase space for a spin in an arbitrarily directed uniform external field, Annual German Physical Society Spring Meeting, Dresden, 13-17 March 2011, 2011
Yu. P. Kalmykov, B. P.J. Mulligan, S. V. Titov, and W. T. Coffey, Spin dynamics in phase space, Annual German Physical Society Spring Meeting, Dresden, 13-17 March 2011, 2011
Yu. P. Kalmykov, W. T. Coffey, and S. V. Titov , Characteristic times of anomalous relaxation processes, Broadband Dielectric Spectroscopy and its Advanced Technological Applications, NATO Advanced Research Workshop, Perpignan, 21 - 24 Sept., 2011, Springer, 2011
W. T. Coffey, Yu. P. Kalmykov, and S. V. Titov , Anomalous dielectric relaxationin the context of the Debye model of noninertial rotational diffusion revisited, Broadband Dielectric Spectroscopy and its Advanced Technological Applications, NATO Advanced Research Workshop, Perpignan, 21 - 24 Sept., 2011, Springer, 2011
Characteristic times of anomalous diffusion in a potential in, editor(s)J. Klafter, S. C. Lim, and R. Metzler , Fractional Dynamics: Recent Advances, Singapore, Word Scientific, 2011, pp51-75 , [W. T. Coffey, Yu. P. Kalmykov, and S. V. Titov]
Kalmykov YP, Titov SV, Coffey WT, Inertial and bias effects in the rotational brownian motion of rodlike molecules in a uniaxial potential., The Journal of chemical physics, 134, (4), 2011, p044530
Cleary, L, Coffey, WT, Dowling, WJ, Kalmykov, YP, Titov, SV, Phase space master equations for quantum Brownian motion in a periodic potential: comparison of various kinetic models, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 44, (47, 475001), 2011
Kalmykov, YP, Mulligan, BPJ, Titov, SV, Coffey, WT, Master Equation in Phase Space for a Spin in an Arbitrarily Directed Uniform External Field, JOURNAL OF STATISTICAL PHYSICS, 141, (3), 2010, p589-606
Yuri P. Kalmykov, Serguey V. Titov, and William T. Coffey, Nonlinear longitudinal relaxation of a quantum superparamagnet with arbitrary spin value S : Phase space and density matrix formulations , Physical Review B, 81, (9), 2010, 094432
Yuri P. Kalmykov, William T. Coffey, Unai Atxitia, Oksana Chubykalo-Fesenko, Pierre-Michel Déjardin, and Roy W. Chantrell, Damping dependence of the reversal time of the magnetization of single-domain ferromagnetic particles for the Néel-Brown model: Langevin dynamics simulations versus analytic results, PHYSICAL REVIEW B, 82, (024412), 2010, p6
Yuri P. Kalmykov, Serguey V. Titov, and William T. Coffey, Spin-size effects in stochastic resonance in uniaxial superparamagnets, Physical Review B, 81, (17), 2010, p172411
Yuri P Kalmykov, Serguey V Titov and William T Coffey, Classical-quantum crossover in magnetic stochastic resonance in uniaxial superparamagnets, Journal of Physics: Condensed Matter, 22, (376001), 2010, p7
Kalmykov, Y.P., Titov, S.V., Coffey, W.T. , Inertial effects in the orientational relaxation of rodlike molecules in a uniaxial potential , Journal of Chemical Physics , 130, (6), 2009, part. no. 064110
L. Cleary, W. T. Coffey, Yu. P. Kalmykov, and S. V. Titov, Semiclassical treatment of a Brownian ratchet using the quantum Smoluchowski equation, Physical Review E, 80, (5), 2009, p051106-1 - 051106-13
Coffey, W.T., Déjardin, P.-M., Kalmykov, Y.P. , Reversal time of the magnetization of single-domain ferromagnetic particles with mixed uniaxial and cubic anisotropy , Physical Review B - Condensed Matter and Materials Physics, 79, (5), 2009, part. no. 054401
Coffey, W.T., Kalmykov, Y.P., Titov, S.V., Cleary, L. , Nonlinear noninertial response of a quantum Brownian particle in a tilted periodic potential to a strong ac force as applied to a point Josephson junction , Physical Review B - Condensed Matter and Materials Physics, 79, (5), 2009, p054507
Cooke JM, Kalmykov YP, Coffey WT, and Kerskens, CM, Langevin equation approach to diffusion magnetic resonance imaging, Physical Review E , 80, (061102), 2009
Yu. P. Kalmykov, W. T. Coffey and S. V. Titov, Phase space Langevin equation for spin relaxation in a dc magnetic field, Europhysics Letters, 88, (1), 2009, p17002
Coffey WT, Kalmykov YP, Titov SV, Cleary L, Quantum effects in the Brownian motion of a particle in a double well potential in the overdamped limit., The Journal of chemical physics, 131, (8), 2009, p084101
Kalmykov, Y.P., Coffey, W.T., Titov, S.V. , Phase-space equilibrium distributions and their applications to spin systems with nonaxially symmetric Hamiltonians , Physical Review B - Condensed Matter and Materials Physics, 77, (10), 2008, part. no. 104418
Kalmykov, Y.P., Coffey, W.T. , Transition state theory for spins: Phase-space formulation , Journal of Physics A: Mathematical and Theoretical, 41, (18), 2008, part. no. 185003
Titov, S.V., Kalmykov, Y.P., Coffey, W.T. , Inertial effects in the nonlinear transient relaxation of rigid rodlike molecules in a strong dc electric field , Journal of Chemical Physics , 129, (14), 2008, art. no. 144505
Kalmykov, Y.P., Coffey, W.T., Titov, S.V. , Master equation in phase space for a uniaxial spin system , Journal of Statistical Physics, 131, (5), 2008, p969-987
Kalmykov, Y.P., Coffey, W.T., Titov, S.V. , Phase space description of spin dynamics , Journal of Physics D: Applied Physics, 41, (13), 2008, part. no. 134005
Kalmykov, Y.P., Coffey, W.T., Titov, S.V. , Phase space equilibrium distribution function for spins , Journal of Physics A: Mathematical and Theoretical, 41, (10), 2008, part. no. 105302
Coffey, W.T., Kalmykov, Y.P., Titov, S.V., Cleary, L. , Smoluchowski equation approach for quantum Brownian motion in a tilted periodic potential , Physical Review E - Statistical, Nonlinear, and Soft Matter Physics , 78, (3), 2008, part. no. 031114
W.T.Coffey, Yu.P.Kalmykov, S.V.Titov, Inertial effects in the fractional diffusion of a Brownian particle in a double-well potential, Bulletin of the American Physical Societ, March Meeting of the APS, Denver, 52, (1), 2007
Kalmykov, Y.P., Coffey, W.T., Titov, S.V. , Phase-space formulation of the nonlinear longitudinal relaxation of the magnetization in quantum spin systems , Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 76, (5), 2007, part. no. 051104
W.T. Coffey, Yu.P. Kalmykov, S.V. Titov and B.P. Mulligan, Semiclassical Klein-Kramers and Smoluchowski equations for the Brownian motion of a particle in an external potential, Journal of Physics A: Mathematical and Theoretical, 40, 2007, pF91 - F98
Coffey, W.T., Kalmykov, Y.P., Titov, S.V. , Solution of the master equation for Wigner's quasiprobability distribution in phase space for the Brownian motion of a particle in a double well potential , Journal of Chemical Physics , 127, (7), 2007, part. no. 074502
Yu.P. Kalmykov and S.V. Titov, Anisotropic rotational diffusion and transient nonlinear responses of rigid polar macromolecules in a strong external electric field, Journal of Chemical Physics , 126, (17), 2007, part no. 174903
W. T. Coffey, Yu. P. Kalmykov, S. V. Titov, and B. P. Mulligan, Quantum master equation in phase space: Application to the Brownian motion in a periodic potential, Europhysics Letters, 77, (2), 2007, p20011 - 20016
W.T. Coffey, Yu.P. Kalmykov, S.V. Titov and B.P. Mulligan, Wigner function approach to quantum Brownian motion of a particle in a potential, Physical-Chemistry-Chemical Physics, 9, (26), 2007, p3361-3382
W.T. Coffey, Yu.P. Kalmykov, S.V. Titov and B.P. Mulligan, Semiclassical master equation in Wigner's phase space applied to the Brownian motion in a periodic potential, Physical Review E, 75, (4), 2007, p041117-1 - 041117-11
W.T. Coffey, Yu.P. Kalmykov and S.V. Titov,, Anomalous nonlinear dielectric and Kerr effect relaxation steady state responses in superimposed ac and dc electric fields, Journal of Chemical Physics , 126, 2007, p084502-1 - 084502-6
W.T. Coffey, Yu.P. Kalmykov and S.V. Titov, Inertial Effects in the Fractional Translational Brownian Motion in a Double-Well Potential, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics , 75, (3), 2007, p031101-1 - 031101-8
W.T. Coffey, Yu.P. Kalmykov, S.V. Titov and B.P. Mulligan, Quantum master equation in phase space: Application to the Brownian motion in a periodic potential, March Meeting of the American Physical Society, Denver, Colorado, USA, 5-9 March, 2007, 2007
Coffey, W.T., Kalmykov, Yu.P., Titov, S.V., Mulligan, B.P. , Reply to 'Comment on 'Semiclassical Klein-Kramers and Smoluchowski equations for the Brownian motion of a particle in an external potential'' , Journal of Physics A: Mathematical and Theoretical , 40, (41), 2007, p12505-12508
W.T. Coffey, Yu.P. Kalmykov, S.V. Titov and B.P. Mulligan, Quantum master equation in phase space: Application to the Brownian motion in a periodic potential, Bulletin of the American Physical Society, March Meeting of the APS, Denver, 52, (1), 2007
W.T.Coffey, Yu.P.Kalmykov, S.V.Titov, Anomalous steady state nonlinear dielectric and Kerr effect relaxation responses in superimposed ac and dc electric fields, Bulletin of the American Physical Society, March Meeting of the APS, Denver, 52, (1), 2007
Yu.P. Kalmykov, W.T. Coffey and S.V. Titov, On the Brownian motion in a double well potential in the overdamped limit, Physica A: Statistical Mechanics and its Applications , 377, (2), 2007, p412 - 420
W.T. Coffey, Yu.P. Kalmykov, S.V. Titov and B.P. Mulligan, Semiclassical master equation in Wigner's phase space applied to the Brownian motion in a periodic potential, Physical Review E, 75, 2007, p041117
Kalmykov, Y. P.Coffey, W. T.Titov, S. V., Thermally activated escape rate for a Brownian particle in a double-well potential for all values of the dissipation, Journal of Chemical Physics, 124, (2), 2006, p024107 - 024107
Fractional rotational diffusion and anomalous dielectric relaxation in dipole systems in, Advances in Chemical Physics, John Wiley & Sons, Inc., 2006, pp70 , [W. T. Coffey, Yu.P.Kalmykov and S.V.Titov]
W. T. Coffey, Yu. P. Kalmykov, B. Quari and S. V. Titov, Rotational diffusion and orientation relaxation of rodlike molecules in a biaxial liquid crystal phase, Physica A: Statistical Mechanics and its Applications, 368, (2), 2006, p362-376
YU.P. Kalmykov, W.T. Coffey, and S. V. Titov, Titov Translational Brownian Motion in a Double-Well Potential, J.Chem.Phys., 2006
W.T. Coffey and YU.P. Kalmykov , Fractals, diffusion and relaxation in disordered complex systems (a two volume set of Advances in Chemical Physics by invitation of Prof. Rice), John Wiley & Sons, Inc., 2006, 1500pp
W. T. Coffey, D. S. F. Crothers, Yu. P. Kalmykov, Nonlinear Response of Permanent Dipoles in a Mean-Field Potential to Alternating Fields, Journal of Non-Crystalline Solids , 352, (42-49 SPEC. ISS), 2006, p4710-4717
Kalmykov, Y.P., Coffey, W.T., Titov, S.V. , Fractional translational diffusion of a Brownian particle in a double well potential, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 74, (1), 2006, part. no. 011105
Kalmykov, Y. P.Titov, S. V.Coffey, W. T., Thermally activated escape rate for the Brownian motion of a fixed axis rotator in an asymmetrical double-well potential for all values of the dissipation, Journal of Chemical Physics, 123, (9), 2005, p094503 - 094503
S. V. Titov, H. Kachkachi, YU.P. Kalmykov and W.T. Coffey, Dynamics of two interacting spins in an external magnetic field, Phys. Rev. B, 72, 2005
W. T. Coffey, Yu. P. Kalmykov, S. V. Titov and J.K. Vij, Three dimensional fractional rotational Brownian motion of rigid dipoles in an asymmetrical double well potential, Phys. Rev. E, 71, 2005, p36380 - 36380
P.M. Dejardin and W.T. Coffey, Moessbauer spectra of non interacting single-domain ferromagnetic particles including superparamagnetic relaxation, Hyperfine Interactions, 163, (1-4), 2005, 73-88
Titov, S. V.Kachkachi, H.Kalmykov, Y. P.Coffey, W. T., Magnetization dynamics of two interacting spins in an external magnetic field, Physical Review B, 72, (13), 2005, p13442 - 13442
Coffey, W.T., Kalmykov, Y.P., Titov, S.V., Vij, J.K. , Fractional rotational diffusion of rigid dipoles in an asymmetrical double-well potential , Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 72, (1), 2005, part. no. 011103
YU.P. Kalmykov, YU.L. Raikher, W.T. Coffey and S.V. Titov, Precession aided magnetic stochastic resonance in ferromagnetic nanoparticles with cubic anisotropy, Physical Review B, 71, (1), 2005, p012415-1 - 012415-4
Coffey, W. T.Crothers, D. S. F.Kalmykov, Y. P.Dejardin, P. M., Nonlinear response of permanent dipoles in a uniaxial potential to alternating fields, Physical Review E, 71, (6), 2005, p062102-062106
Kalmykov, Y. P.Coffey, W. T.Titov, S. V., Dependence of the magnetization relaxation time of single-domain ferromagnetic particles on damping in the brown model, Physics of the Solid State, 47, (2), 2005, p272-280
Kalmykov, Y. P.Coffey, W. T.Ouari, B.Titov, S. V., Damping dependence of the magnetization relaxation time of single-domain ferromagnetic particles, Journal of Magnetism and Magnetic Materials, 292, 2005, p372-384
Kalmykov, Y. P.Titov, S. V.Coffey, W. T., Langevin equation method for the rotational Brownian motion and orientational relaxation in liquids: spherical top molecules, Journal of Molecular Liquids, 116, (3), 2005, p119-123
Kalmykov, Y. P.Raikher, Y. L.Coffey, W. T.Titov, S. V., Stochastic resonance in single-domain nanoparticles with cubic anisotropy, Physics of the Solid State, 47, (12), 2005, p2325-2332
Titov, S.V., Kalmykov, Y.P., Coffey, W.T., Inertial effects in anomalous dielectric relaxation of symmetrical top molecules, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 69, (3), 2004, p031114 -1 - 031114-11
W. T. Coffey, Yu.P.Kalmykov and S.V.Titov, Inertial effects in anomalous dielectric relaxation, Journal of Molecular Liquids, 114, (1-3), 2004, p35 - 41
W. T. Coffey, D.S.F. Crothers, D. Holland and S.V. Titov, Green function for the diffusion limit of one dimensional continuous time random walks, J.Mol.Liquids, 114, (1-3), 2004, p165 - 171
W.T. Coffey, YU.P. Kalmykov and J.T. Waldron, The Langevin Equation with applications in Physics Chemistry and Electrical Engineering, Second edition, Singapore, World Scientific, 2004, 678+xxivpp
Kalmykov, Y. P.Coffey, W. T.Crothers, D. S. F.Titov, S. V., Microscopic models for dielectric relaxation in disordered systems, Physical Review E, 70, (4), 2004, p041103-1-041103-11
Crothers, D.S.F., Holland, D., Kalmykov, Yu.P., Coffey, W.T., The role of Mittag-Leffler functions in anomalous relaxation, Journal of Molecular Liquids , 114, (1-3), 2004, p27-34
W. T. Coffey, Theory of anomalous dielectric relaxation, Nonlinear dielectric phenomena in complex liquids, Proceedings of ARW NATO Meeting, Katowice Poland, Kluwer Amsterdam: NATO Workshop series, 2004, pp19 - 29
Anastasovski, P. K.Carpenter, P.Ciubotariu, C.Coffey, W. T.Evans, G. J.Evans, M. W.Flower, R., Development of the Evans wave equation in the weak-field limit: The electrogravitic equation, Foundations of Physics Letters, 17, (5), 2004, p497-501
W. T. Coffey, Yu.P.Kalmykov and S.V.Titov, Anomalous dielectric relaxation in a double-well potential, Journal of Molecular Liquids, 114, (1-3), 2004, p43 - 49
Yu. P. Kalmykov, W. T. Coffey and S.V.Titov, Bimodal approximation for anomalous diffusion in a potential, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 69, (2), 2004, p021105 -1 - 021105 -7
W.T Coffey, Dielectric relaxation an overview, Journal of Molecular Liquids , 114, (1-3), 2004, p5 - 25
W.T. Coffey, YU.P. Kalmykov and S.V. Titov, Thermally activated escape rate for the Brownian motion of a fixed axis rotator in a double well potential for all values of the dissipation , Journal of Chemical Physics, 120, (19), 2004, p9199 - 9211
Kilfoil, M.L., Pashkovski, E.E., Masters, J.A., Weitz, D.A., Warren, P., Nicodemi, M., Coffey, W.T., (...), Ball, R.C., Dynamics of weakly aggregated colloidal particles , Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 361, (1805), 2003, p753-766
W. T. Coffey, Yu.P.Kalmykov and S.V.Titov, Anomalous dielectric relaxation in an N-fold cosine potential, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 67, (6), 2003, p061115 - 1 - 061115 -11
Itinerant oscillator models of fluids in, Advances in Chemical Physics, 2003, pp131 - 186, [W. T. Coffey, Yu.P.Kalmykov and S.V.Titov]
Alastair Smith, D., Brockwell, D.J., Zinober, R.C., Blake, A.W., Beddard, G.S., Olmsted, P.D., Radford, S.E., (...), Coffey, W.T., Bartlett, P., Unfolding dynamics of proteins under applied force, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 361, (1805), 2003, p713-730
Anastasovski, P.K., Bearden, T.E., Ciubotariu, C., Coffey, W.T., Crowell, L.B., Evans, G.J., Evans, M.W., (...), Vigier, J.P., Inverse Faraday effect from the first principles of general relativity, Foundations of Physics Letters, 16, (2), 2003, p195-198
Anastasovski, P.K., Bearden, T.E., Ciubotariu, C., Coffey, W.T., Crowell, L.B., Evans, G.J., Evans, M.W., (...), Vigier, J.P., Derivation of O(3) electrodynamics from the Einstein-Sachs theory of general relativity , Foundations of Physics Letters, 16, (3), 2003, p275-280
Yu.P.Kalmykov, W. T. Coffey, and S.V.Titov, Analytic calculation of the longitudinal dynamic susceptibility of uniaxial superparamagnetic particles in a strong uniform DC magnetic field, Journal of Magnetism and Magnetic Materials, 265, (1), 2003, p44 - 53
W. T. Coffey, G. P. Johari, Yu.P.Kalmykov and S.V.Titov, Complex susceptibility of the cage model of polar liquids, Journal of Physics: Condensed Matter, 15, (19), 2003, p2961 - 2977
W. T. Coffey, Yu.P.Kalmykov and S.V.Titov, Langevin equation methodfor the rotational Brownian motion and orientational relaxation in liquids: II Symmetrical top molecules, Journal of Physics A: Mathematical and Theoretical, 36, (18), 2003, p4947 - 4962
S.V.Titov, Yu.P.Kalmykov and W. T. Coffey, Extended Rotational Diffusion and Dielectric relaxation of symmetrical top molecules in a dc Electric field, Journal of Chemical Physics, 118, (1), 2003, p209 - 220
W. T. Coffey, Yu. P. Kalmykov and S. V. Titov, Nonlinear response of.fine superparamagnetic particles to a sudden change of a strong uniform dc magnetic field, Journal of Magnetism and Magnetic Materials, 241, 2002, p400 - 414
Coffey, W.T., Kalmykov, Yu.P., Titov, S.V., Langevin equation method for the rotational Brownian motion and orientational relaxation in liquids, Journal of Physics A: Mathematical and General, 35, (32), 2002, p6789 - 6803
Coffey, W.T., Kalmykov, Yu.P., Titov, S.V., Inertial effects in anomalous dielectric relaxation , Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 65, (3), 2002, p032102-1 - 032102-4
Coffey, W.T., Fannin, P.C., Internal and Brownian mode-coupling effects in the theory of magnetic relaxation and ferromagnetic resonance of ferrofluids, Journal of Physics Condensed Matter, 14, (14), 2002, p3677 - 3692
Anastasovski, P.K., Bearden, T.E., Ciubotariu, C., Coffey, W.T., Crowell, L.B., Evans, G.J., Evans, M.W., (...), Coffey, W.T., Vigier, J.P., Aharonov-Bohm effect as the basis of electromagnetic energy inherent in the vacuum, Foundations of Physics Letters , 15, (6), 2002, p561-568
Coffey, W.T., Kalmykov, Y.P., Titov, S.V., Inertial effects in the anomalous dielectric relaxation of rotators in space , Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 65, (5), 2002, p051105-1 - 051105-9
Anastasovski, P.K., Bearden, T.E., Ciubotariu, C., Coffey, W.T., Crowell, L.B., Evans, G.J., Evans, M.W., (...), Vigier, J.P., Derivation of O(3) electrodynamics from the irreducible representations of the Einstein group, Foundations of Physics Letters, 15, (2), 2002, p179-187
Coffey, W.T., Kalmykov, Yu.P., Titov, S.V., Nonlinear response of fine superparamagnetic particles to the sudden change of a strong uniform DC magnetic field , Journal of Magnetism and Magnetic Materials, 241, (2-3), 2002, p400-414
Coffey, W.T., Kalmykov, Yu.P., Titov, S.V., Anomalous dielectric relaxation in the context of the Debye model of noninertial rotational diffusion, Journal of Chemical Physics, 116, (15), 2002, p6422 - 6426
W. T. Coffey, D. A. Garanin, D. J. Mccarthy, Crossover formulas in the Kramers theory of thermally activated escape rates - Application to spin systems , by GARANIN, DA , Advances in Chemical Physics, 117, 2001, p483-765
Raikher, Yu.L., Rusakov, V.V., Coffey, W.T., Kalmykov, Yu.P. , Dynamic susceptibilities of an assembly of dipolar particles in an elastic environment , Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 63, (3), 2001, p0314021-03140210
P. K. Anastasovski, T. E. Bearden, C. Ciubotariu, W. T. Coffey, L. B. & Crowell, G. J. Evans, M. W. Evans, R. Flower, A. Labounsky, B., & Lehnert, M. Mészáros, P. R. Molnár, J. K. Moscicki, S. Roy and J. P. Vigier, Derivation of the Bb>(3) Field and Concomitant Vacuum Energy Density from the Sachs Theory of Electrodynamics , Foundations of Physics Letters, 14, (6), 2001, p589 - 593
Anastasovski, P.K., Bearden, T.E., Ciubotariu, C., Coffey, W.T., Crowell, L.B., Evans, G.J., Evans, M.W., (...), Roy, S., Empirical evidence for non-Abelian electrodynamics and theoretical development , Annales de la Fondation Louis de Broglie , 26, (4), 2001, p653-672
P. K. Anastasovski, T. E. Bearden, C. Ciubotariu, W. T. Coffey, L. B. Crowell, G. J. Evans, M. W. Evans, R. Flower, A. Labounsky, B. Lehnert, M. Mészáros, P. R. Molnár, S. Roy and J. P. Vigier , Anti-Gravity Effects in the Sachs Theory of Electrodynamics , Foundations of Physics Letters, 14, (6), 2001, p601 - 605
Coffey, W.T., Crothers, D.S.F., Déjardin, J.L., Kalmykov, Y.P., Raikher, Yu.L., Stepanov, V.I., Titov, S.V., Noise-induced resonances in superparamagnetic particles , Materials Science Forum , 373, (3), 2001, p125 - 128
Coffey, W.T., Kalmykov, Yu.P., Titov, S.V., Inertial effects in the nonlinear transient relaxation of Brownian particles in strong external electric fields , Journal of Chemical Physics , 115, (21), 2001, p9895 - 9904
Coffey, W.T., Crothers, D.S.F., Kalmykov, Yu.P., Titov, S.V., Precessional effects in the linear dynamic susceptibility of uniaxial superparamagnets: Dependence of the ac response on the dissipation parameter , Physical Review B - Condensed Matter and Materials Physics, 64, (1), 2001, p012411 - 012414
P. K. Anastasovski, T. E. Bearden, C. Ciubotariu, W. T. Coffey, L. B. Crowell, G. J. Evans, M. W. Evans, R. Flower, A. Labounsky, B. Lehnert, M. Mészáros, P. R. Molnár, S. Roy and J. P. Vigier, Development of the Sachs Theory of Electrodynamics , Foundations of Physics Letters, 14, (6), 2001, p595 - 600
Déjardin, P.M., Crothers, D.S.F., Coffey, W.T., McCarthy, D.J., Interpolation formula between very low and intermediate-to-high damping Kramers escape rates for single-domain ferromagnetic particles, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 63, (2), 2001, p0211021-02110212
Anastasovski, P.K., Bearden, T.E., Ciubotariu, C., Coffey, W.T., Crowell, L.B., Evans, G.J., Evans, M.W., (...), Vigier, J.P., Explanation of the motionless electromagnetic generator by Sachs's theory of electrodynamics, Foundations of Physics Letters, 14, (14), 2001, p387 - 393
Crossover formulae in the Kramers theory of thermally activated escape rates - application to spin systems in, Advances in Chemical Physics, 2001, pp483 - 765, [W.T. Coffey, D.A. Garanin, and DJ. McCarthy]
Coffey, W.T., Crothers, D.S.F., Titov, S.V., Escape times for rigid Brownian rotators in a bistable potential from the time evolution of the Green function and the characteristic time of the probability evolution, Physica A: Statistical Mechanics and its Applications, 298, (3-4), 2001, p330 - 350
Peter K. Anastasovski, T. E. Bearden, C. Ciubotariu, W. T. Coffey, L. B. Crowell, G. J. Evans, M. W. Evans, R. Flower, S. Jeffers, A Labounsky, B. Lehnert, M. Mészáros, P. R. Molnár, S. Roy and J.-P. Vigier, Self-Inconsistencies of the U(1) Theory of Electrodynamics: Michelson Interferometry , Foundations of Physics Letters, 12, (6), 2000, p579 - 584
Anastasovski, P.K., Bearden, T.E., Ciubotariu, C., Coffey, W.T., Crowell, L.B., Evans, G.J., Evans, M.W., (...), Vigier, J.-P., On the representation of the Maxwell Heaviside equations in terms of the Barut field four vector, Optik (Jena), 111, (6), 2000, p246 - 248
Anastasovski, P.K., Bearden, T.E., Ciubotariu, C., Coffey, W.T., Crowell, L.B., Evans, G.J., Evans, M.W., (...), Roy, S., Equations of the Yang-Mills theory of classical electrodynamics, Optik (Jena), 111, (2), 2000, p53 - 56
Rotational diffusion and dielectric relaxation in nematic liquid crystals in, Advances in Chemical Physics, 2000, pp487 - 551, [W.T. Coffey and Y.P. Kalmykov]
Anastasovski, P.K., Bearden, T.E., Ciubotariu, C., Coffey, W.T., Crowell, L.B., Evans, G.J., Evans, M.W., (...), Roy, S., Runaway solutions of the Lehnert equations: The possibility of extracting energy from the vacuum, Optik (Jena), 111, (9), 2000, p407 - 409
Anastasovski, P.K., Bearden, T.E., Ciubotariu, C., Coffey, W.T., Crowell, L.B., Evans, G.J., Evans, M.W., (...), Vigier, J.P., Operator derivation of the gauge-invariant Proca and Lehnert equations; elimination of the Lorenz condition , Foundations of Physics Letters, 30, 2000, p1123 - 1129
Coffey, W.T., Déjardin, J.L., Kalmykov, Yu.P., Nonlinear noninertial response of a Brownian particle in a tilted periodic potential to a strong ac force, Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics , 61, (4B), 2000, p4599 - 4602
Crowell, L.B., Anastasovski, P.K., Bearden, T.E., Ciubotariu, C., Coffey, W.T., Evans, G.J., Evans, M.W., (...), Roy, S., SU (2) × SU (2) electroweak theory in LEP 1 data on Z particle production , Foundations of Physics Letters, 13, (2), 2000, p193 - 196
Anastasovski, P.K., Bearden, T.E., Ciubotariu, C., Coffey, W.T., Crowell, L.B., Evans, G.J., Evans, M.W., (...), Roy, S., Classical Electrodynamics without the Lorentz Condition: Extracting Energy from the Vacuum , Physica Scripta, 61, (5), 2000, p513 - 517
Coffey, W.T., Déjardin, J.L., Kalmykov, Yu.P., Nonlinear impedance of a microwave-driven Josephson junction with noise, Physical Review B - Condensed Matter and Materials Physics, 62, (5), 2000, p3480 - 3487
Anastasovski, P.K., Bearden, T.E., Ciubotariu, C., Coffey, W.T., Crowell, L.B., Evans, G.J., Evans, M.W., (...), Roy, S., Derivation of the Lehnert field equations from gauge theory in vacuum: Space charge and current , Foundations of Physics Letters, 13, (2), 2000, p179 - 184
Coffey, W.T., Gaiduk, V.I., Tseitlin, B.M., Walsh, M.E., Rectangular potential well (hat) model: application to the dielectric spectra of non-associated polar liquids , Physica A: Statistical Mechanics and its Applications, 282, (3), 2000, p384 - 408
Coffey, W.T., Garanin, D.A., Kachkachi, H., McCarthy, D.J., Interpolation formulae between axially symmetric and non-axially symmetric Kramers' escape rates for single-domain ferromagnetic particles in the intermediate to high-damping limit, Journal of Magnetism and Magnetic Materials , 221, (1-2), 2000, p110 - 123
Kachkachi, H., Coffey, W.T., Crothers, D.S.F., Ezzir, A., Kennedy, E.C., Noguès, M., Tronc, E., Field dependence of the temperature at the peak of the zero-field-cooled magnetization, Journal of Physics Condensed Matter, 12, (13), 2000, p3077 - 3090
Anastasovski, P.K., Bearden, T.E., Ciubotariu, C., Coffey, W.T., Crowell, L.B., Evans, G.J., Evans, M.W., (...), Roy, S., On the Nature of the B(3) Field , Physica Scripta, 61, (3), 2000, p287 - 291
Rotational Diffusion and Dielectric Relaxation in Nematic Liquid Crystals in, editor(s)Vij, J , Advances in Chemical Physics, Wiley-Interscience, 2000, pp487 - 551 , [W. Coffey & Y. Kalmykov]
Garanin DA, Kennedy EC, Crothers DS, Coffey WT., Thermally activated escape rates of uniaxial spin systems with transverse field: uniaxial crossovers., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 60, (6A), 2000, p6499 - 6502
Anastasovski, P.K., Bearden, T.E., Ciubotariu, C., Coffey, W.T., Crowell, L.B., Evans, G.J., Evans, M.W., (...), Roscoe, D., Interferometry in Higher Symmetry Forms of Electrodynamics and Physical Optics , Physica Scripta, 61, (1), 2000, p79 - 82
Anastasovski, P.K., Bearden, T.E., Ciubotariu, C., Coffey, W.T., Crowell, L.B., Evans, G.J., Evans, M.W., (...), Roy, S., Inconsistencies of the U(1) theory of electrodynamics: stress energy momentum tensor, Foundations of Physics Letters , 12, (2), 1999, p187-192
Anastasovski, P.K., Bearden, T.E., Ciubotariu, C., Coffey, W.T., Crowell, L.B., Evans, G.J., Evans, M.W., (...), Roy, S., A general theory of non-Abelian electrodynamics , Foundations of Physics Letters , 12, (3), 1999, p251-265
Coffey, W.T., The low damping Neel relaxation time for fine ferromagnetic particles from the energy diffusion method of Kramers, Journal of Molecular Structure, 479, (2-3), 1999, p261-269
Anastasovski, P.K., Bearden, T.E., Ciubotariu, C., Coffey, W.T., Crowell, L.B., Evans, G.J., Evans, M.W., (...), Roy, S., Link between the non-abelian stokes theorem and the B cyclic theorem , Apeiron, 6, (3-4), 1999, 222-226
Coffey, W.T., Mean first passage times of Brownian rotators from differential recurrence relations , Journal of Chemical Physics , 111, (18), 1999, p8350 - 8355
McCarthy, D.J., Coffey, W.T., Kramers low-damping escape rate for fine ferromagnetic particles by the uniform asymptotic expansion of the first-passage-time method , Journal of Physics Condensed Matter, 11, (50), 1999, p10531 - 10543
Coffey, W.T., Déjardin, P.M., Walsh, M.E., Application of free rotational models of molecular reorientation to the explanation of high frequency effects in dielectric relaxation , Journal of Chemical Physics , 110, (11), 1999, p5300 - 5306
Finite Integral representation of characteristic times of orientational relaxation processes in, Advances in Chemical Physics, 1998, pp259 - 333, [W.T. Coffey]
Kalmykov, Y.P., Coffey, W.T., Analytical solutions for rotational diffusion in the mean field potential: Application to the theory of dielectric relaxation in nematic liquid crystals , Liquid Crystals, 25, (3), 1998, p329 - 339
Kalmykov, Y. P.Titov, S. V.Coffey, W. T., Longitudinal complex magnetic susceptibility and relaxation time of superparamagnetic particles with cubic magnetic anisotropy, Physical Review B - Condensed Matter and Materials Physics, 58, (6), 1998, p3267 - 3276
Coffey, W.T., Crothers, D.S.F., Dormann, J.L., Kalmykov, Yu.P., Kennedy, E.C., Wernsdorfer, W., Thermally activated relaxation time of a single domain ferromagnetic particle subjected to a uniform field at an oblique angle to the easy axis: Comparison with experimental observations, Physical Review Letters, 80, (25), 1998, p5655 - 5658
Coffey, W.T., Crothers, D.S.F., Dormann, J.L., Geoghegan, L.J., Kennedy, E.C., Effect of an oblique magnetic field on the superparamagnetic relaxation time. II. Influence of the gyromagnetic term , Physical Review B - Condensed Matter and Materials Physics , 58, (6), 1998, p3249 - 3266
Coffey, W.T., Crothers, D.S.F., Dormann, J.L., Geoghegan, L.J., Kennedy, E.C., Wernsdorfer, W., Range of validity of Kramers escape rates for non-axially symmetric problems in superparamagnetic relaxation , Journal of Physics Condensed Matter, 10, (40), 1998, p9093 - 9109
Coffey, W., Finite integral representation of characteristic times of orientational relaxation processes: Application to the uniform bias force effect in relaxation in bistable potentials , Advances in Chemical Physics, 103, 1998, p259-333
Coffey, W.T., Walsh, M.E., Closed form solution of the itinerant oscillator model of molecular libration, Journal of Chemical Physics, 106, (18), 1997, p7625 - 7628
Wegrowe, J.-E., Meier, J.P., Doudin, B., Ansermet, J.-Ph., Wernsdorfer, W., Barbara, B., Coffey, W.T., (...), Déjardin, J.-L., Magnetic relaxation of nanowires: Beyond the Néel-Brown activation process , Europhysics Letters, 38, (5), 1997, p329 - 334
Coffey, W.T., Crothers, D.S.F., Kalmykov, Yu.P., Effect of a uniform bias force on the Brownian movement in double-well potentials , Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 55, (4), 1997, p4812 - 4815
Kalmykov, Yu.P., Déjardin, J.L., Coffey, W.T., Relaxation time for nonlinear response of a Brownian particle subject to a step external force: Analytical solutions for one-dimensional models , Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 55, (3 suppl A), 1997, p2509 - 2515
Kalmykov, Yu.P., Coffey, W.T., Transverse complex magnetic susceptibility of single-domain ferromagnetic particles with uniaxial anisotropy subjected to a longitudinal uniform magnetic field , Physical Review B - Condensed Matter and Materials Physics, 56, (6), 1997, p3325 - 3337
Coffey, W.T., Dipole-dipole interaction and anisotropy effects in the itinerant oscillator model , Journal of Chemical Physics , 107, (13), 1997, p4960 - 4967
Geoghegan, L.J., Coffey, W.T., Mulligan, B., Differential recurrence relations for non-axially symmetric rotational Fokker-Planck equations , Advances in Chemical Physics, 100, 1997, p475-641
Coffey, W.T., Crothers, D.S.F., Dormann, J.L., Geoghegan, L.J., Kennedy, E.C., Influence of the gyromagnetic term in the effect of an oblique magnetic field on the superparamagnetic relaxation time, Journal of Magnetism and Magnetic Materials , 173, (3), 1997, pL219-L224
Coffey, W.T., Exact solution for rotational relaxation times for problems governed by axially symmetric Fokker-Planck equations , Journal of Molecular Structure, 416, (1-3), 1997, p221 - 226
Coffey, W.T., Crothers, D.S.F., Comparison of methods for the calculation of superparamagnetic relaxation times, Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 54, (5), 1996, p4768 - 4774
Coffey, W.T., Déjardin, J.L., Kalmykov, Yu.P., Titov, S.V., Nonlinear dielectric relaxation and dynamic Kerr effect in a strong dc electric field suddenly switched on: Exact solutions for the three-dimensional rotational diffusion model, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 54, (6), 1996, p6462 - 6475
W.T. Coffey, YU.P. Kalmykov and J.T. Waldron, The Langevin Equation with applications in Physics Chemistry and Electrical Engineering, Singapore, World Scientific, 1996, xiii+413pp
Déjardin, J.L., Blaise, P., Coffey, W.T., Calculation of the rise transient and relaxation time of the induced dipole Kerr effect, Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 54, (1), 1996, p852 - 860
Differential Recurrence Relations for non-axially symmetric Fokker-Planck Equation in, Advances in Chemical Physics, 1996, pp475 - 641, [W.T. Coffey, B. Mulligan and L. Geoghegan]
Coffey, W.T., Geoghegan, L.J., Differential recurrence relations for the Fokker-Planck equation for magnetic after-effect and dielectric relaxation in non axially symmetric potentials , Journal of Molecular Liquids , 69, (9 special issue), 1996, p53 - 81
Coffey, W.T., Kalmykov, Yu.P., Inertial effects in the complex magnetic susceptibility of a ferrofluid in the presence of a dc bias field , Journal of Magnetism and Magnetic Materials, 164, (1-2), 1996, p133 - 142
Kalmykov, Yu.P., Coffey, W.T., Waldron, J.T., Exact analytic solution for the correlation time of a Brownian particle in a double-well potential from the Langevin equation, Journal of Chemical Physics , 105, (5), 1996, p2112-2118
Coffey, W.T., Crothers, D.S.F., Kalmykov, Yu.P., Waldron, J.T. , Exact solution for the extended Debye theory of dielectric relaxation of nematic liquid crystals , Physica A: Statistical Mechanics and its Applications, 213, (4), 1995, p551-575
Coffey, W.T., Crothers, D.S.F., Kalmykov, Yu.P., Waldron, J.T. , Constant-magnetic-field effect in Néel relaxation of single-domain ferromagnetic particles , Physical Review B - Condensed Matter and Materials Physics, 51, (22), 1995, p15947-15956
Coffey, W.T., Crothers, D.S.F., Dormann, J.L., Geoghegan, L.J., Kalmykov, Yu.P., Waldron, J.T., Wickstead, A.W., The effect of an oblique magnetic field on the superparamagnetic relaxation time , Journal of Magnetism and Magnetic Materials, 145, (3), 1995, pL263-L267
Coffey, W.T., Crothers, D.S.F., Dormann, J.L., Geoghegan, L.J., Kalmykov, Yu.P., Waldron, J.T., Wickstead, A.W., Effect of an oblique magnetic field on the superparamagnetic relaxation time , Physical Review B - Condensed Matter and Materials Physics, 52, (22), 1995, p15951-15965
P. C. Fannin and W. T. Coffey, Contribution of particle inertial effects to resonance in ferrofluids, Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics , 52, (6), 1995, p6129 - 6140
Coffey, W.T., Kalmykov, Yu.P., Waldron, J.T., Relaxation dynamics of a particle in the presence of an external potential: exact solution in terms of matrix continued fractions , Physica A: Statistical Mechanics and its Applications , 208, (3-4), 1994, p462-478
Coffey, W.T., Crothers, D.S.F., Kalmykov, Yu.P., Massawe, E.S., Waldron, J.T., Exact analytic formula for the correlation time of a single-domain ferromagnetic particle , Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics , 49, (3), 1994, p1869-1882
Coffey, W.T., Cregg, P.J., Crothers, D.S.F., Waldron, J.T., Wickstead, A.W., Simple approximate formulae for the magnetic relaxation time of single domain ferromagnetic particles with uniaxial anisotropy , Journal of Magnetism and Magnetic Materials, 131, (3-4), 1994, pL301-L303
Coffey, W.T., Crothers, D.S.F., Waldron, J.T., Integral representation of exact solutions for the correlation times of rotators in periodic potentials - derivation of asymptotic expansions , Physica A: Statistical Mechanics and its Applications, 203, (3-4), 1994, p600-626
Waldron, J.T., Kalmykov, Yu.P., Coffey, W.T., Rotational Brownian motion and dielectric relaxation of polar molecules subjected to a constant bias field: Exact solution, Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 49, (5), 1994, p3976-3989
William Coffey, Relaxation phenomena in condensed matter: Series "Advances in Chemical Physics, Volume lxxxvii", New York, Chichester, Brisbane, , John Wi1ey & Sons, Inc., 1994, 766 + xiipp
Coffey, W.T., On the contribution of multiplicative noise terms to the Langevin equation for rotational relaxation , The Journal of Chemical Physics, 99, (1), 1993, p3014 - 3020
W. T. Coffey; Yu. P. Kalmykov, On the calculation of the dielectric relaxation times of a nematic liquid crystal from the non-inertial Langevin equation , Liquid Crystals, 14, (4), 1993, p1227 - 1236
Coffey, W.T., Kalmykov, Yu.P., Massawe, E.S., Effective-eigenvalue approach to the nonlinear Langevin equation for the Brownian motion in a tilted periodic potential. II. Application to the ring-laser gyroscope , Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 48, (2), 1993, p699 - 704
Coffey, W.T., Kalmykov, Yu.P., Massawe, E.S., Effective-eigenvalue approach to the nonlinear Langevin equation for the Brownian motion in a tilted periodic potential: Application to the Josephson tunneling junction , Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 48, (1), 1993, p77 - 87
Coffey, W.T., Crothers, D.S.F., Kalmykov, Yu.P., Massawe, E.S., Waldron, J.T. , Exact analytic formulae for the correlation times for single domain ferromagnetic particles, Journal of Magnetism and Magnetic Materials, 127, (3), 1993, pL254-L260
Coffey, W.T., Kalmykov, Yu.P., Massawe, E.S., Waldron, J.T., Exact solution for the correlation times of dielectric relaxation of a single axis rotator with two equivalent sites, The Journal of Chemical Physics, 99, (5), 1993, p4011-4023
The effective eigenvalue method and its application to non-linear stochastic problems in, Advances in Chemical Physics, 1993, pp667 - 792, [W.T. Coffey, Yu. P. Kalmykov, E.S. Massawe]
Coffey, W.T., Kalmykov, Yu.P. , On the calculation of the macroscopic relaxation time from the Langevin equation for a dipole in a cavity in a dielectric medium , Chemical Physics, 169, (2), 1993, p165 - 172
Coffey, W.T., Kalmykov, Yu.P., Quinn, K.P., On the calculation of field-dependent relaxation times from the noninertial Langevin equation , Journal of Chemical Physics , 96, (7), 1992, p5471 - 5481
Coffey, W.T., Déjardin, J.-L., Kalmykov, Yu.P., Quinn, K.P., On the derivation of the after-effect solution for the Kerr effect relaxation from the Langevin equation for rotation in three dimensions , Chemical Physics , 164, (3), 1992, p357 - 375
Coffey, W.T., On the calculation of the linear dielectric response from the Langevin equation in the presence of a step-on field , Journal of Molecular Liquids, 51, (1-2), 1992, p77 - 88
On the theory of the Debye and Neel relaxation of single domainferromagnetic particles in, Advances in Chemical Physics, 1992, pp263 - 464, [W.T. Coffey, PJ. Cregg and Yu. P. Kalmykov]
Coffey, W.T., Kalmykov, Yu.P., The langevin equation for the dipole vector of symmetric top molecules, Journal of Molecular Liquids , 49, (C), 1991, p79 - 85
Coffey, W.T., On the derivation of the Debye theory of dielectric relaxation from the Langevin equation in the presence of the driving field. II. Inclusion of inertial effects for rotation in three dimensions , Journal of Chemical Physics, 95, (3), 1991, p2026 - 2035
Coffey, W.T., On the direct calculation from the Langevin equation of the Kerr effect and higher-order nonlinear responses of an assembly of dipolar molecules , Chemicla Physics, 143, (2), 1990, p171 - 183
Coffey, W.T., On the direct derivation of Brinkman's hierarchy of differential-difference equations for ensemble averages from the Langevin equation , Chemicla Physica Letters, 171, (5-6), 1990, p485 - 492
Coffey, W.T., On the derivation of the Debye theory of dielectric relaxation from the Langevin equation in the presence of the driving field, The Journal of Chemical Physics, 93, (1), 1990, p724 - 729
W. T. Coffey, J. K. Vij and P. M. Corcoran , On the Role of Inertial Effects and Dipole-Dipole Coupling in the Theory of the Debye and Far-Infrared Absorption of Polar Fluids III. The Cosine Potential Itinerant Oscillator Model , Proceedings for the Royal Society of London A, 425, (1868), 1989, p169 - 213
Coffey, W.T., On the solution of the Smoluchowski equation by the method of successive approximations: Application to the dynamics of a dipole in a cavity in a dielectric medium , Journal of Molecular Liquids, 43, (C), 1989, p173 - 192
W. T. Coffey, J. K. Vij and P. M. Corcoran , On the Role of Inertial Effects and Dipole-Dipole Coupling in the Theory of the Debye and Far-Infrared Absorption of Polar Fluids III. The Cosine Potential Itinerant Oscillator Model , Proceedings for the Royal Society of London A, 425, (1868 ), 1989, p169 - 213
Coffey, W.T., Mcgoldrick, S.G., Cregg, P.J., Roberts, P.L., Quinn, K.P., Use of the modified smoluchowski equation to describe small inertial effects in the dynamic Kerr effect, Chemical Physics Letters, 148, (4), 1988, p323 - 326
Coffey, W.T., McGoldrick, S.G. , Inertial effects in the theory of dielectric and Kerr effect relaxation of an assembly of non-interacting polar molecules in strong alternating fields, Chemical Physics, 120, (1), 1988, p1 - 35
Coffey, W.T., Mcgoldrick, S.G., Quinn, K.P., Inertial effects in the theory of dielectric and Kerr effect relaxation of an assembly of non-interacting polar molecules in strong alternating fields. II. The effect of higher-order terms in the distribution function , Chemical Physics, 125, (1), 1988, p99 - 118
Coffey, W.T., Mc Goldrick, S.G., A perturbation method for the solution of the Kramers equation for a particle moving under an alternating force - application to the theory of dielectric and Kerr effect relaxation , Zeitschrift für Physik B Condensed Matter , 72, (1), 1988, p123 - 129
Corcoran, P.M., Coffey, W.T., Non-linear itinerant oscillator model. Inclusion of barrier crossing by the method of Praestgaard and van Kampen , Chemical Physics Letters, 144, (2), 1988, p172 - 177
Coffey, W.T., Mcgoldrick, S.G., Cregg, P.J., Inertial effects in the theory of dielectric and kerr effect relaxation. III. Assemblies of nondipolar anisotropically polarizable molecules in alternating and pulsed fields , Chemicla Physics, 125, (1), 1988, p119 - 128
P. M. Corcoran; W. T. Coffey ; M. W. Evans, On the calculation of the electric polarizability for the itinerant oscillator model A comparison of numerical FFT techniques with approximate analytical formulae, Molecular Physics, 61, (1), 1987, p1 - 14
Coffey, W.T., Corcoran, P.M., The non-linear itinerant oscillator model: the effect on the polarisability spectrum of including barrier-crossing by dipoles , Chemical Physics Letters, 139, (3-4), 1987, p290 - 294
W. T. Coffey, P. M. Corcoran and J. K. Vij , On the Role of Inertial Effects and Dipole-Dipole Coupling in the Theory of the Debye and Far-Infrared Absorption of Polar Fluids. II. Comparison with Experimental Observations , Proceedings for the Royal Society of London A, 412, (183), 1987, p339 - 388
W. T. Coffey, P. M. Corcoran and M. W. Evans , On the Role of Inertial Effects and Dipole-Dipole Coupling in the Theory of the Debye and Far-Infrared Absorption of Polar Fluids, Proceedings of the Royal Society of London A, 410, (1838), 1987, p61 - 88
W. T. Coffey; P. M. Corcoran; M. W. Evans, On the existence of far-infrared absorption peaks in the complex polarizability of the itinerant oscillator model of polar fluids , Molecular Physics, 61, (1), 1987, p15 - 22
Marchesoni, F., Vij, J.K., Coffey, W.T., Nonlinear budó model for dielectric relaxation: Comparison with new experimental data , Zeitschrift für Physik B Condensed Matter, 67, (3), 1987, p413
W.T. Coffey, M.W. Evans and P. Grigolini, Molecular diffusion and spectra, Russian edition, Moscow, Mir, 1987, 379pp
W.T. Coffey, J.K. Vij, G.J. Evans, F. Marchesoni, C.J. Reid, W. Schroer, Decrease in frequency of maximum far infra-red power absorption of polar fluids with temperature, Il Nuovo Cimento, 8D, (4), 1986, p369 - 378
Coffey, W., On the role of period-amplitude dependence in the study of inertial effects and dipole-dipole coupling , Chemical Physics Letters, 123, 1986, p416 - 422
Coffey, W.T., Corcoran, P.M., Vij, J.K., Inertia-corrected budó treatment of dielectric relaxation in polar molecules: Application to the fir spectrum of acetonttrile and hexanone-2 , Chemical Physics Letters, 129, (4), 1986, p375 - 381
Coffey, W.T., Vij, J.K., Evans, G.J., Evans, M.W., Marchesoni, F., Reid, C.J., Schröer, W., Decrease in frequency of maximum far-infra-red power absorption of polar fluids with temperature , Il Nuovo Cimento D , 8, (4), 1986, p369 - 378
Marchesoni, F., Vij, J.K., Coffey, W.T., Nonlinear Budó model for dielectric relaxation: Comparison with new experimental data , Zeitschrift für Physik B Condensed Matter, 61, (3), 1985, p357 - 366
Development and application of the theory of the Brownian motion in, Advances in Chemical Physics, 1985, pp69 - 252, [W.T. Coffey]
Marchesoni, F., Vij, J.K., Coffey, W.T., Nonlinear Budó model for dielectric relaxation: Comparison with new experimental data , Zeitschrift für Physik B Condensed Matter, 61, (3), 1985, p357 - 366
Coffey, W.T., Rybarsch, C., Schroeer, W., On the Brownian Movement of a rotator and its application to non-linear dielectric-relaxation, COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 2, (1), 1983, p9 - 21
W.T. Coffey, P. Grigolini, P. Marin, On the solution of the Fokker-Planck equation for Brownian movement in a one-dimensional periodic potential., Proceedings of the Royal Irish Academy Section A-MATHEMATICAL AND PHYSICAL SCIENCES, 82, 1983, p167 - 176
Coffey, W.T., Rybarsch, C., Schröer, W., Inertial effects in the debye theory of dielectric relaxation at high field strengths, Chemical Physics Letters, 99, (1), 1983, p31 - 34
Ferrario, M., Evans, M.W., Coffey, W.T., Numerical solution of fokker/planck/kramers equations, by Evanms, MW , Advances in Molecular Relaxation and Interaction Processes, 23, (3), 1982, p143-178
Coffey, W.T., Rybarsch, C., Schröer, W., On the brownian movement of a rotator in a cosine potential , Physics Letters A, 88, (7), 1982, p331 - 334
W. T. Coffey ; J. K. Vij , On the analysis of dielectric absorption spectra in terms of correlation functions , Molecular Physics, 47, (1), 1982, p23 - 31
Coffey, W. T.; Rybarsch, C.; Schröer, W., Inertial effects in the dielectric relaxation of an assembly of molecules containing rotating polar groups, Chemical Physics Letters, 92, (3), 1982, p245 - 249
Evans, M.W., Ferrario, M., Coffey, W.T., Brownian motion with superimposed interaction: cosine potential and molecular dynamics simulation, by Ferrario, M , Advances in Molecular Relaxation and Interaction Processes, 20, (1-2), 1981, 1-10
Evans, G.J., Evans, M., Coffey, W.T., The translational motion of molecules at short times: a study using molecular dynamic simulations and the model of itinerant oscillation , by Evans, M , Advances in Molecular Relaxation and Interaction Processes, 20, (1-2), 1981, p11-25
Coffey, W.T., Pearce, J.G., Calderwood, J.H., On the time response of the itinerant oscillator model of polar fluids , Advances in Molecular Relaxation and Interaction Processes, 20, (1-2), 1981, p27-45
Ferrario, M., Evans, M.W., Coffey, W.T., Itinerant oscillation with a cosine potential , Chemical Physics, 62, (3), 1981, p481 - 487
Calderwood, J.H., Coffey, W.T. , Recent Investigations of models for the far infra-red absorbtion spectra od dipolar fluids. , IEE Conference Publication, 177, 1979, p171-173
Evans, M.W., Coffey, W.T., Pryce, J.D., The effect of dipole-dipole interaction on zero-THz frequency polarisation, Chemical Physics Letters, 63, (1), 1979, 133-138
Evans, G.J., Evans, M.W., Coffey, W.T., Itinerant oscillator model. Evaluation using experimental results for the disordered solid 1,2,3-trichlorotrimethyl benzen, Journal of the Chemical Society, Faraday Transactions 2: Molecular and Chemical Physics, 74, 1978, 2138-2142
Coffey, W.T., Evans, G.J., Evans, M., Wegdam, G.H., Experimental measure of the planar itinerant oscillator , Journal of the Chemical Society, Faraday Transactions 2: Molecular and Chemical Physics, 74, 1978, p310-323
Coffey, W.T., On the application of the theory of the translational Brownian movement to the calculation of the differential cross-sections for the incoherent scattering of slow neutrons , Journal of Physics D: Applied Physics, 11, (10), 1978, p1377-1385
Coffey, W.T., On the solution of the smoluchkowski equation for rotational brownian motion , Chemical Physics Letters, 54, (3), 1978, 519-523
Reid, C.J., Evans, G.J., Evans, M.W., Coffey, W.T., Molecular dynamics in Ch2Cl2/decalin glass, Chemical Physics Letters , 56, (3), 1978, p529-532
Evans, G.J., Evans, M.W., Calderwood, J.H., Coffey, W.T., Wegdam, G.H., The planar itinerant oscillator model. A discussion of its use in reproducing experimental data from three separate sources , Chemical Physics Letters, 50, (1), 1977, p142-146
Coffey, W.T., On the calculation of orientational autocorrelation functions for simple models of molecular reorientation, Chemical Physics Letters, 52, (2), 1977, p394-398
J. H. Calderwood and W. T. Coffey, On the Theory of the Debye and the Far Infrared Absorption of Polar Fluids, Proceedings for the Royal Society of London A, 356, (1685), 1977, p269-286
J. H. Calderwood, W. T. Coffey, A. Morita and S. Walker, A Model for the Frequency Dependence of the Polarizability of a Polar Molecule, Proceedings of the Royal Society of London A, 352, (1669), 1976, p275-288
Coffey, W.T., Scaife, B.K.P., On the solution of some potential problems for a non-linear dielectric, Journal of Electrostatics , 1, (3), 1975, p193-208
Non-Peer-Reviewed Publications
Yu. P. Kalmykov, W. T. Coffey, and N. Wei, On the nonlinear response of non-interacting electric dipoles and single domain ferrofluid particles subjected to strong alternating dc bias fields, DPG Spring Meeting, Dresden, March 30 - April 4, 2014
D. J. Byrne, W. T. Coffey, W. J. Dowling, Yu. P. Kalmykov, and S. V. Titov , On the Kramers escape rate for point particles and classical spins, COST Action MP1006 Quantum and Classical Complexity: From Atoms to Biosystems, Frankfurt, 5-7 May, 2014
D. J. Byrne, W. T. Coffey, Yu. P. Kalmykov, and S. V. Titov , Linear and nonlinear stationary ac response of the magnetisation of nano magnets in the presence of thermal agitation and spin-transfer torques, DPG Spring Meeting, Dresden, March 30 - April 4, 2014
W. T. Coffey, W. J. Dowling, Yu. P. Kalmykov, and S. V. Titov , On the Kramers very low damping escape rate for point particles and classical spins, DPG Spring Meeting, Dresden, March 30 - April 4, 2014
W. T. Coffey, Yu. P. Kalmykov , S. V. Titov L. Cleary, and W. J. Dowling, "Quantum master equation in phase space applied to the Brownian motion in a tilted periodic potential, Annual German Physical Society Spring Meeting, Dresden, 13-17 March 2011, 2011
W. T. Coffey, L. Cleary, W. Dowling, Yu. P. Kalmykov, and S. V. Titov, Phase space master equations for quantum Brownian motion in a periodic potential: comparison of various kinetic models, Madrid Workshop on Open Quantum Systems, Madrid, Spain, 3-5 October 2011, 2011
W. T. Coffey, Preface, J.Mol.Liquids, 114, 2004, p1 - 3
Research Expertise
Recognition
Representations
Member, Editorial Board, Advances in Chemical Physics, Wiley Interscience, New York. Editors S.A.Rice (recipient of the Congressional Medal of Honor from President Clinton) and I. Prigogin (Nobel Laureate). It is a particular honour to be invited to be a member of the editorial board of this famous publication, two members of the 20 member board are Nobel Laureates, one is a Fellow of The Royal Society and several have received the most prestigious prizes of the American Physical Society
Awards and Honours
Docteur Honoris causa, University of Perpignan Academie de Montpellier (These are awarded to approximately 6 candidates 3 in the Arts and 3 in the Sciences every 4 years)
FELLOW of the Institution of Electrical Engineers
FELLOW of the Institute of Physics
Distinguished Visitor Fellow QUB (Dynamics of superparamagnetic nano particles)
Berkeley Fellow University of Dublin
Member of the Royal Irish Academy
Fellow American Physical Society
Memberships
Member American Physical Society