RELAXATION-TIME FOR NONLINEAR RESPONSE OF A BROWNIAN PARTICLE SUBJECTTO A STEP EXTERNAL FORCE - ANALYTICAL SOLUTIONS FOR ONE-DIMENSIONAL MODELS

Authors
KALMYKOV YP DEJARDIN JL COFFEY WT
Citation
Yp. Kalmykov et al., RELAXATION-TIME FOR NONLINEAR RESPONSE OF A BROWNIAN PARTICLE SUBJECTTO A STEP EXTERNAL FORCE - ANALYTICAL SOLUTIONS FOR ONE-DIMENSIONAL MODELS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 55(3), 1997, pp. 2509-2515
Citations number
21
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
55
Issue
3
Year of publication
1997
Part
A
Pages
2509 - 2515
Database
ISI
SICI code
1063-651X(1997)55:3<2509:RFNROA>2.0.ZU;2-0
Abstract
The nonlinear response to a step external force of a system with relax ational dynamics governed by a one-dimensional Fokker-Planck equation is considered. An exact analytical expression for the step response no nlinear relaxation time is derived in terms of an integral (which can be evaluated numerically). Applications to nonlinear problems concerni ng the dynamic Kerr effect, dielectric relaxation of liquid dielectric s, and magnetic relaxation of systems of single domain ferromagnetic p articles are given. The results are compared with solutions previously obtained.