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arXiv · 2104.00026

Limiting current distribution for a two species asymmetric exclusion process

Zeying Chen·Jan de Gier·Iori Hiki·Tomohiro Sasamoto·Masato Usui
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Abstract

We study current fluctuations of a two-species 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.

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Zeying Chen, Jan de Gier, Iori Hiki, Tomohiro Sasamoto, Masato Usui. 2021-03-31. Limiting current distribution for a two species asymmetric exclusion process. https://doi.org/10.1007/s00220-022-04408-8

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