FOKKER-PLANCK EQUATION FOR NONLINEAR STOCHASTIC DYNAMICS IN THE PRESENCE OF SPACE AND TIME-DEPENDENT FRICTION

被引：40
|
作者：
POLLAK, E [1 ]
BEREZHKOVSKII, AM [1 ]
机构：
[1] KARPOV PHYS CHEM INST, MOSCOW 103064, RUSSIA
来源：
JOURNAL OF CHEMICAL PHYSICS | 1993年 / 99卷 / 02期
关键词：
D O I：
10.1063/1.465379
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
The one-dimensional stochastic equation of motion for a particle in the presence of space and time dependent friction involves multiplicative fluctuations and a nonlinear friction kernel. We show how this rather complicated equation may be significantly simplified. Introduction of an auxiliary mode leads to a set of two nonlinearly coupled equations with space and time independent damping. An exact Fokker-Planck equation emerges naturally from this formulation.
引用
收藏
页码：1344 / 1346
页数：3
相关论文
共 50 条
  • [1] GENERALIZED FOKKER-PLANCK EQUATION WITH TIME-DEPENDENT TEMPERATURE
    ROMEROSALAZAR, L
    VELASCO, RM
    REVISTA MEXICANA DE FISICA, 1995, 41 (03) : 358 - 364
  • [2] NONLINEAR FOKKER-PLANCK EQUATIONS WITH TIME-DEPENDENT COEFFICIENTS
    Barbu, Viorelc
    Rockner, Michael
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2023, 55 (01) : 1 - 18
  • [3] N-dimensional nonlinear Fokker-Planck equation with time-dependent coefficients
    Malacarne, L.C.
    Mendes, R.S.
    Pedron, I.T.
    Lenzi, E.K.
    Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2002, 65 (05): : 1 - 052101
  • [4] Similarity solutions of the Fokker-Planck equation with time-dependent coefficients
    Lin, W-T
    Ho, C-L
    ANNALS OF PHYSICS, 2012, 327 (02) : 386 - 397
  • [5] The precise time-dependent solution of the Fokker-Planck equation with anomalous diffusion
    Guo Ran
    Du Jiulin
    ANNALS OF PHYSICS, 2015, 359 : 187 - 197
  • [6] Stochastic dynamics and Fokker-Planck equation in accelerator physics
    Mais, H
    Zorzano, MP
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1999, 112 (05): : 467 - 474
  • [7] FOKKER-PLANCK EQUATION FOR TIME-DEPENDENT DOUBLE-WELL POTENTIALS
    UPADHYAY, S
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (21): : L1293 - L1297
  • [8] Fractional Fokker-Planck Equation with Space and Time Dependent Drift and Diffusion
    Lv, Longjin
    Qiu, Weiyuan
    Ren, Fuyao
    JOURNAL OF STATISTICAL PHYSICS, 2012, 149 (04) : 619 - 628
  • [9] Fractional Fokker-Planck Equation with Space and Time Dependent Drift and Diffusion
    Longjin Lv
    Weiyuan Qiu
    Fuyao Ren
    Journal of Statistical Physics, 2012, 149 : 619 - 628
  • [10] Dynamics of the Fokker-Planck equation
    Jordan, R
    Kinderlehrer, D
    Otto, F
    PHASE TRANSITIONS, 1999, 69 (03) : 271 - 288
12345