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arXiv · 2403.05366

Tagged particle fluctuations for TASEP with dynamics restricted by a moving wall

Patrik L. Ferrari·Sabrina Gernholt
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Abstract

We consider the totally asymmetric simple exclusion process on $\Z$ with step initial condition and with the presence of a rightward-moving wall that prevents the particles from jumping. This model was first studied in [Borodin-Bufetov-Ferrari'21]. We extend their work by determining the limiting distribution of a tagged particle in the case where the wall has influence on its fluctuations in neighbourhoods of multiple macroscopic times.

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Patrik L. Ferrari, Sabrina Gernholt. 2024-03-08. Tagged particle fluctuations for TASEP with dynamics restricted by a moving wall. https://arxiv.org/abs/2403.05366

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