Distribution of a second-class particle's position in the two-species ASEP with a special initial configuration

Eunghyun Lee; Zhanibek Tokebayev

doi:10.1007/s10955-023-03085-8

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arXiv · 2209.06933

Distribution of a second-class particle's position in the two-species ASEP with a special initial configuration

Eunghyun Lee·Zhanibek Tokebayev

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Abstract

In this paper, we consider the two-species asymmetric simple exclusion process consisting of $N-1$ first-class particles and one second-class particle. We assume that the second-class particle is the rightmost particle at t=0. We provide an alternative method to Tracy and Widom's method in [J. Phys. A, 42, 425002, (2009)] to find the probability distribution of the second-class particle's position.

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Eunghyun Lee, Zhanibek Tokebayev. 2022-09-14. Distribution of a second-class particle's position in the two-species ASEP with a special initial configuration. https://doi.org/10.1007/s10955-023-03085-8

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