Abstract
For the asymmetric simple exclusion process η t on the integer lattice with two-sided Bernoulli initial condition, we derive exact formulas for the following quantities: (1) ℙ(η t (x)=1), the probability that site x is occupied at time t; (2) the correlation function ℙ(η t (x)=1,η 0(0)=1); (3) the distribution function for Q t , the total flux across 0 at time t, and its exponential generating function.
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Tracy, C.A., Widom, H. Formulas for ASEP with Two-Sided Bernoulli Initial Condition. J Stat Phys 140, 619–634 (2010). https://doi.org/10.1007/s10955-010-0013-x
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DOI: https://doi.org/10.1007/s10955-010-0013-x