Crossover formulas in the kramers theory of thermally activated escape rates—application to spin systems
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[1] Dominique Mailly,et al. Experimental evidence of the Neel-Brown model of magnetization reversal , 1997 .
[2] G. Klein,et al. Mean first-passage times of Brownian motion and related problems , 1952, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.
[3] H. Braun. Kramers's rate theory, broken symmetries, and magnetization reversal , 1994 .
[4] W. Coffey,et al. Range of validity of Kramers escape rates for non-axially symmetric problems in superparamagnetic relaxation , 1998 .
[5] V. I. Mel’nikov. Activated tunneling decay of metastable state: Solution of the Kramers problem , 1985 .
[6] N. Kampen,et al. A model for rotational relaxation and resonance , 1981 .
[7] S. Chandrasekhar. Stochastic problems in Physics and Astronomy , 1943 .
[9] 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. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[10] D. A. Smith,et al. A classical theory of superparamagnetic relaxation , 1976 .
[11] Waldron,et al. Exact analytic formula for the correlation time of a single-domain ferromagnetic particle. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[12] G. Wilemski. On the derivation of Smoluchowski equations with corrections in the classical theory of Brownian motion , 1976 .
[13] M. Goiran,et al. Dynamical properties of non-interacting Co nanoparticles , 1999 .
[14] A. Malakhov,et al. EXACT SOLUTION OF KRAMERS' PROBLEM FOR PIECEWISE PARABOLIC POTENTIAL PROFILES , 1996 .
[15] J. A. Swanson,et al. Frequency Factors in the Thermally Activated Process , 1961 .
[16] R. Becker,et al. Kinetische Behandlung der Keimbildung in übersättigten Dämpfen , 1935 .
[17] V. I. Mel’nikov,et al. Theory of activated rate processes: Exact solution of the Kramers problem , 1986 .
[18] W. Coffey,et al. EFFECT OF AN OBLIQUE MAGNETIC FIELD ON THE SUPERPARAMAGNETIC RELAXATION TIME. II. INFLUENCE OF THE GYROMAGNETIC TERM , 1998 .
[19] W. Coffey,et al. Integral representation of exact solutions for the correlation times of rotators in periodic potentials — derivation of asymptotic expansions , 1994 .
[20] W. Coffey,et al. On the theory of Debye and Néel relaxation of single domain ferromagnetic particles , 2007 .
[21] Y. Raikher,et al. Stochastic resonance in single-domain particles , 1994 .
[22] C. Blomberg. The Brownian motion theory of chemical transition rates , 1977 .
[23] R. Sack. Relaxation Processes and Inertial Effects I: Free Rotation about a Fixed Axis , 1957 .
[24] A. Pankratov. Time evolution of averages in dynamical systems driven by noise , 1998, adap-org/9811004.
[25] A. Malakhov,et al. Nonstationary diffusion through arbitrary piecewise-linear potential profile. Exact solution and time characteristics , 1993 .
[26] V. V. Ishchenko,et al. Dynamics of an ensemble of single-domain magnetic particles , 1990 .
[27] Statistical mechanics of nonuniform magnetization reversal. , 1994, Physical review. B, Condensed matter.
[28] W. Coffey. On the contribution of multiplicative noise terms to the Langevin equation for rotational relaxation , 1993 .
[29] B. Gestblom,et al. Dielectric studies of trans-4-n-octyl-(4-cyanophenyl)cyclohexane (8PCH) at ambient and high pressure , 1998 .
[30] Bernard J. Matkowsky,et al. Uniform expansion of the transition rate in Kramers' problem , 1984 .
[31] H. L. Dryden,et al. Investigations on the Theory of the Brownian Movement , 1957 .
[32] U. M. Titulaer. A systematic solution procedure for the Fokker-Planck equation of a Brownian particle in the high-friction case , 1978 .
[33] G. Uhlenbeck,et al. On the Theory of the Brownian Motion , 1930 .
[34] D. Mailly,et al. Macroscopic Quantum Tunneling of Magnetization of Single Ferrimagnetic Nanoparticles of Barium Ferrite , 1997 .
[35] Boundary-layer theory for the extremely underdamped Brownian motion in a metastable potential , 1988 .
[36] The low damping Néel relaxation time for fine ferromagnetic particles from the energy diffusion method of Kramers , 1999 .
[37] W. Coffey. On the derivation of the Debye theory of dielectric relaxation from the Langevin equation in the presence of the driving field , 1990 .
[38] Kalmykov. Evaluation of the smallest nonvanishing eigenvalue of the fokker-planck equation for the brownian motion in a potential. II. The matrix continued fraction approach , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.
[40] James T. Hynes,et al. The stable states picture of chemical reactions. II. Rate constants for condensed and gas phase reaction models , 1980 .
[41] W. Coffey. Mean first passage times of Brownian rotators from differential recurrence relations , 1999 .
[42] J. Langer. Statistical theory of the decay of metastable states , 1969 .
[43] L. Gunther,et al. Thermal relaxation over a barrier in single domain ferromagnetic particles , 1990 .
[44] G. Uhlenbeck,et al. On the Theory of the Brownian Motion II , 1945 .
[45] S. V. Titov,et al. Longitudinal complex magnetic susceptibility and relaxation time of superparamagnetic particles with cubic magnetic anisotropy , 1998 .
[46] Andrey L. Pankratov,et al. Influence of thermal fluctuations on time characteristics of a single Josephson element with high damping exact solution , 1996 .
[47] H. Risken. The Fokker-Planck equation : methods of solution and applications , 1985 .
[48] M. Kac. Random Walk and the Theory of Brownian Motion , 1947 .
[49] H. Brinkman. Brownian motion in a field of force and the diffusion theory of chemical reactions. II , 1956 .
[50] J. Doob,et al. The Brownian Movement and Stochastic Equations , 1942 .
[51] Field dependence of the temperature at the peak of the zero-field-cooled magnetization , 1999, cond-mat/9903302.
[52] P. Hänggi,et al. Reaction-rate theory: fifty years after Kramers , 1990 .
[53] J. W. Brown. Thermal Fluctuations of a Single-Domain Particle , 1963 .
[54] Y. Kalmykov,et al. MATRIX ELEMENTS OF THE SYSTEM OF MOMENT EQUATIONS GOVERNING THE KINETICS OF SUPERPARAMAGNETIC PARTICLES , 1999 .
[55] H. Kramers. Brownian motion in a field of force and the diffusion model of chemical reactions , 1940 .
[56] First-passage-time approach to overbarrier relaxation of magnetization , 1990 .