Exact Solution of the Master Equation for the Asymmetric Exclusion Process
Statistical Mechanics
2009-10-30 v1
Abstract
Using the Bethe ansatz, we obtain the exact solution of the master equation for the totally asymmetric exclusion process on an infinite one-dimensional lattice. We derive explicit expressions for the conditional probabilities P(x_1, ... ,x_N;t|y_1, ... ,y_N;0) of finding N particles on lattice sites x_1, ... ,x_N at time t with initial occupation y_1, ... ,y_N at time t=0.
Keywords
Cite
@article{arxiv.cond-mat/9701019,
title = {Exact Solution of the Master Equation for the Asymmetric Exclusion Process},
author = {Gunter M. Schütz},
journal= {arXiv preprint arXiv:cond-mat/9701019},
year = {2009}
}
Comments
20 pages, Latex, to be appear in J. Stat. Phys