Approximate solution for Fokker-Planck equation
Statistical Mechanics
2015-12-25 v1
Abstract
In this paper, an approximate solution to a specific class of the Fokker-Planck equation is proposed. The solution is based on the relationship between the Schr\"{o}dinger type equation with a partially confining and symmetrical potential. To estimate the accuracy of the solution, a function error obtained from the original Fokker-Planck equation is suggested. Two examples, a truncated harmonic potential and non-harmonic polynomial, are analyzed using the proposed method. For the truncated harmonic potential, the system behavior as a function of temperature is also discussed.
Keywords
Cite
@article{arxiv.1512.07787,
title = {Approximate solution for Fokker-Planck equation},
author = {M. T. Araujo and E. Drigo Filho},
journal= {arXiv preprint arXiv:1512.07787},
year = {2015}
}
Comments
12 pages, 8 figures