Formulas for ASEP with Two-Sided Bernoulli Initial Condition
arXiv:1001.4766 · doi:10.1007/s10955-010-0013-x
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.
18 pages