Limiting current distribution for a two species asymmetric exclusion process
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....
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| creator | Chen, Zeying de Gier, Jan Hiki, Iori Sasamoto, Tomohiro Usui, Masato |
| description | 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. |
| doi_str_mv | 10.48550/arxiv.2104.00026 |
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| subjects | Computational fluid dynamics Current distribution Fluid flow Hydrodynamics Mathematics - Mathematical Physics Mathematics - Probability Physics - Mathematical Physics Physics - Statistical Mechanics |
| title | Limiting current distribution for a two species asymmetric exclusion process |
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