Limiting Current Distribution for a Two Species Asymmetric Exclusion Process

Zeying Chen, Jan de Gier, Iori Hiki, Tomohiro Sasamoto, Masato Usui*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

We study current fluctuations of a two-species totally asymmetric exclusion process, known as the Arndt–Heinzel–Rittenberg model. For a step-Bernoulli initial condition with finite number of particles, we provide an explicit multiple integral expression for a certain joint current probability distribution. By performing an asymptotic analysis we prove that the joint current distribution is given by a product of a Gaussian and a GUE Tracy–Widom distribution in the long time limit, as predicted by non-linear fluctuating hydrodynamics.

Original languageEnglish
Pages (from-to)59-142
Number of pages84
JournalCommunications in Mathematical Physics
Volume395
Issue number1
DOIs
Publication statusPublished - Oct 2022
Externally publishedYes

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