Formulas for ASEP with Two-Sided Bernoulli Initial Condition
Probability
2010-07-26 v1 Mathematical Physics
math.MP
Abstract
For the asymmetric simple exclusion process on the integer lattice with two-sided Bernoulli initial condition, we derive exact formulas for the following quantities: (1) the probability that site x is occupied at time t; (2) a correlation function, the probability that site 0 is occupied at time 0 and site x is occupied at time t; (3) the distribution function for the total flux across 0 at time t and its exponential generating function.
Keywords
Cite
@article{arxiv.1001.4766,
title = {Formulas for ASEP with Two-Sided Bernoulli Initial Condition},
author = {Craig A. Tracy and Harold Widom},
journal= {arXiv preprint arXiv:1001.4766},
year = {2010}
}
Comments
18 pages