Formulas for ASEP with Two-Sided Bernoulli Initial Condition

Abstract

For the asymmetric simple exclusion process ηt on the integer lattice with two-sided Bernoulli initial condition, we derive exact formulas for the following quantities:(1)P(ηt(x)=1), the probability that site x is occupied at time t; (2) the correlation function P(ηt(x)=1,η0(0)=1); (3) the distribution function for Qt, the total flux across 0 at time t, and its exponential generating function. © 2010 The Author(s).