NUMERICAL APPROACH TO FOKKER–PLANCK EQUATIONS FOR BROWNIAN MOTORS-Reference-Cited by-同舟云学术

NUMERICAL APPROACH TO FOKKER–PLANCK EQUATIONS FOR BROWNIAN MOTORS

Published:2002-11 Issue:09 Volume:13 Page:1157-1176
ISSN:0129-1831
Container-title:International Journal of Modern Physics C
language:en
Short-container-title:Int. J. Mod. Phys. C

Author:

KOSTUR MARCIN¹²

Affiliation:

1. Department of Physics, University of Maine, 04473 Orono, Maine, USA

2. Institute of Physics, Silesian University, Bankowa 14, 40-007 Katowice, Poland

Abstract

The numerical approach to a large class of one- and two-dimensional Fokker–Planck equations (FPE) often encountered in modeling Brownian Motors is presented. The method is based on Finite Element scheme with additional modifications for specific problems. We compare results from discretization of FPE with those obtained from Monte Carlo (MC) simulation of the corresponding Langevin equations. Accuracy, efficiency and applicability are also discussed.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computational Theory and Mathematics,Computer Science Applications,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129183102004030

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