Lattice formulation of the Fokker-Planck equation
arXiv:cond-mat/0505745 · doi:10.1103/PhysRevE.73.017701
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.
23 pages, 4 figures