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Fokker-Planck Equation

, 1984
As shown in Sects. 3.1, 2 we can immediately obtain expectation values for processes described by the linear Langevin equations (3.1, 31). For nonlinear Langevin equations (3.67, 110) expectation values are much more difficult to obtain, so here we first try to derive an equation for the distribution function.
H. Risken
semanticscholar   +2 more sources

An efficient computational technique for local fractional Fokker Planck equation

Physica A: Statistical Mechanics and Its Applications, 2020
The key aim of the present study is to compute the solution of local fractional Fokker Planck equation (LFFPE) on the Cantor set. We perform a comparison between the reduced differential transform method (RDTM) and local fractional series expansion ...
Jagdev Singh, H. Jassim, Devendra Kumar
semanticscholar   +3 more sources

Fokker–Planck Equation

2013
The time evolution of the probability density function of a set of random variables is described by the Fokker-Planck equation, named after Adriaan Fokker and Max Planck. Originally, it was developed to describe the motion of Brownian particles and later was generalized to follow the evolution of a set of random variables with linear phenomenological ...
Nicolas Brunel, Vincent Hakim
  +6 more sources

LATTICE FOKKER–PLANCK EQUATION

International Journal of Modern Physics C, 2006
A lattice version of the Fokker–Planck equation is introduced. The resulting numerical method is illustrated through the calculation of the electric conductivity of a one-dimensional charged fluid at zero and finite-temperature.
Succi S, Melchionna S, Hansen J P
openaire   +4 more sources

Quasicontinuum Fokker-Planck equation

Physical Review E, 2010
Building on the work [C. R. Doering, P. S. Hagan, and P. Rosenau, Phys. Rev. A 36, 985 (1987)] we present a regularized Fokker-Planck equation for discrete-state systems with more accurate short-time behavior than its standard, Kramers-Moyal counterpart.
Francis J, Alexander, Philip, Rosenau
openaire   +2 more sources

Variational methods for the kinetic Fokker–Planck equation

Analysis & PDE, 2019
We develop a functional analytic approach to the study of the Kramers and kinetic Fokker-Planck equations which parallels the classical $H^1$ theory of uniformly elliptic equations.
D. Albritton   +3 more
semanticscholar   +1 more source

Fractional Fokker–Planck equation

Chaos, Solitons & Fractals, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
El-Wakil, S. A., Zahran, M. A.
openaire   +2 more sources

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