Formulas for ASEP with Two-Sided Bernoulli Initial Condition

Details Formulas for ASEP with Two-Sided Bernoulli Initial Condition Formulas for ASEP with Two-Sided Bernoulli Initial Condition

2010-01-26

arxiv.org/abs/1001.4766v1

Journal of Statistical Physics 140 (2010) 619-634

Mathematics

Probability

18 pages

Scientific paper

10.1007/s10955-010-0013-x

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.

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