Abstract
This paper extends earlier work on ASEP to the case of step Bernoulli initial condition. The main results are a representation in terms of a Fredholm determinant for the probability distribution of a fixed particle, and asymptotic results which in particular establish KPZ universality for this probability in one regime. (And, as a corollary, for the current fluctuations.)
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Tracy, C.A., Widom, H. On ASEP with Step Bernoulli Initial Condition. J Stat Phys 137, 825–838 (2009). https://doi.org/10.1007/s10955-009-9867-1
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DOI: https://doi.org/10.1007/s10955-009-9867-1