Exact solution to Fick-Jacobs equation
Mathematical Physics
2012-11-27 v2 Statistical Mechanics
High Energy Physics - Theory
math.MP
Abstract
A relation between Fick-Jacobs and Schr\"{o}dinger equation is shown. When the diffusion coefficient is constant, exact solutions for Fick-Jacobs equation are obtained. Using a change of variable the general case is studied.
Keywords
Cite
@article{arxiv.1108.1164,
title = {Exact solution to Fick-Jacobs equation},
author = {Juan M. Romero and O. González-Gaxiola and G. Chacón-Acosta},
journal= {arXiv preprint arXiv:1108.1164},
year = {2012}
}
Comments
13 pages, no figures. Some mistakes were corrected