Discrete-time TASEP with holdback

Seva Shneer and Alexander Stolyar

Stochastic Processes and their Applications, 2021, vol. 131, issue C, 201-235

Abstract: We study the following interacting particle system. There are ρn particles, ρ<1, moving clockwise (“right”), in discrete time, on n sites arranged in a circle. Each site may contain at most one particle. At each time, a particle may move to the right-neighbor site according to the following rules. If its right-neighbor site is occupied by another particle, the particle does not move. If the particle has unoccupied sites (“holes”) as neighbors on both sides, it moves right with probability 1. If the particle has a hole as the right-neighbor and an occupied site as the left-neighbor, it moves right with probability 0Keywords: Interacting particle systems; TASEP; Condensation/Phase transition; Hydrodynamic limits; Ballot theorem; Medium access and Road traffic models (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1016/j.spa.2020.09.011

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