Lattice formulation of the Fokker-Planck equation
Statistical Mechanics
2013-05-29 v1 Soft Condensed Matter
Abstract
A lattice version of the Fokker-Planck equation (FPE), accounting for dissipative interactions, not resolved on the molecular scale, is introduced. The lattice FPE is applied to the study of electrorheological transport of a one-dimensional charged fluid, and found to yield quantitative agreement with a recent analytical solution. Future extensions, including inelastic ion-ion collisions, are also outlined.
Keywords
Cite
@article{arxiv.cond-mat/0505745,
title = {Lattice formulation of the Fokker-Planck equation},
author = {S. Melchionna and S. Succi and J. -P. Hansen},
journal= {arXiv preprint arXiv:cond-mat/0505745},
year = {2013}
}
Comments
23 pages, 4 figures