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
  • [21] Stochastic nonlinear Fokker-Planck equations
    Coghi, Michele
    Gess, Benjamin
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2019, 187 : 259 - 278
  • [22] Fractional Fokker-Planck Equations for Subdiffusion with Space- and Time-Dependent Forces
    Henry, B. I.
    Langlands, T. A. M.
    Straka, P.
    PHYSICAL REVIEW LETTERS, 2010, 105 (17)
  • [23] Microscopic dynamics of the nonlinear Fokker-Planck equation: a phenomenological model
    Borland, Lisa
    Physical Review E. Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1998, 57 (06):
  • [24] Microscopic dynamics of the nonlinear Fokker-Planck equation: A phenomenological model
    Borland, L
    PHYSICAL REVIEW E, 1998, 57 (06): : 6634 - 6642
  • [25] N-dimensional nonlinear Fokker-Planck equation with time-dependent coefficients -: art. no. 052101
    Malacarne, LC
    Mendes, RS
    Pedron, IT
    Lenzi, EK
    PHYSICAL REVIEW E, 2002, 65 (05):
  • [26] Numerical Solution of Fokker-Planck Equation for Nonlinear Stochastic Dynamical Systems
    Narayanan, S.
    Kumar, Pankaj
    IUTAM SYMPOSIUM ON NONLINEAR STOCHASTIC DYNAMICS AND CONTROL, 2011, 29 : 77 - +
  • [27] ON FOKKER-PLANCK EQUATION IN STOCHASTIC THEORY OF MORTALITY
    TRUCCO, E
    BULLETIN OF MATHEMATICAL BIOPHYSICS, 1963, 25 (03): : 303 - &
  • [28] The quantum Fokker-Planck equation of stochastic inflation
    Collins, Hael
    Holman, Richard
    Vardanyan, Tereza
    JOURNAL OF HIGH ENERGY PHYSICS, 2017, (11):
  • [29] A numerical algorithm for the space and time fractional Fokker-Planck equation
    Vanani, S. Karimi
    Aminataei, A.
    INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2012, 22 (08) : 1037 - 1052
  • [30] Stochastic solution of fractional Fokker-Planck equations with space-time-dependent coefficients
    Nane, Erkan
    Ni, Yinan.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 442 (01) : 103 - 116