4.4 Article

On ASEP with Step Bernoulli Initial Condition

期刊

JOURNAL OF STATISTICAL PHYSICS
卷 137, 期 5-6, 页码 825-838

出版社

SPRINGER
DOI: 10.1007/s10955-009-9867-1

关键词

Asymmetric simple exclusion process; KPZ universality; Bethe Ansatz

资金

  1. National Science Foundation [DMS-0553379, DMS-0906387, DMS-0552388, DMS-0854934]
  2. Division Of Mathematical Sciences [0906387] Funding Source: National Science Foundation

向作者/读者索取更多资源

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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