On the distribution of a second-class particle in the asymmetric simple exclusion process

2009/07/24 by Craig A. Tracy, Craig A Tracy, Harold Widom · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Bayesian Methods and Mixture Models #Random Matrices and Applications #Stochastic processes and statistical mechanics #math-ph #math.MP #math.PR #msc:60K35 #msc:82C22

paper · pdf · doi:10.1088/1751-8113/42/42/425002

published as J. Phys. A: Math. Theor. 42 (2009) 425002

arxiv created 2009/07/24 · openalex publication_date 2009/10/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We give an exact expression for the distribution of the position X(t) of a single second class particle in the asymmetric simple exclusion process (ASEP) where initially the second class particle is located at the origin and the first class particles occupy the sites 1,2,....

Citations

• A Fredholm Determinant Representation in ASEP

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