The asymmetric simple exclusion process with an open boundary
Probability
2013-10-08 v1 Mathematical Physics
math.MP
Abstract
We consider the asymmetric simple exclusion process confined to the nonnegative integers with an open boundary at 0. The point 0 is connected to a reservoir where particles are injected and ejected at prescribed rates subject to the exclusion rule. We derive formulas for the transition probability as a function of time from states where initially there are m particles to states where there are n particles.
Cite
@article{arxiv.1304.0800,
title = {The asymmetric simple exclusion process with an open boundary},
author = {Craig A. Tracy and Harold Widom},
journal= {arXiv preprint arXiv:1304.0800},
year = {2013}
}
Comments
22 pages, 1 figure