Tagged particle fluctuations for TASEP with dynamics restricted by a moving wall
Probability
2025-09-03 v2 Mathematical Physics
math.MP
Abstract
We consider the totally asymmetric simple exclusion process on 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.
Keywords
Cite
@article{arxiv.2403.05366,
title = {Tagged particle fluctuations for TASEP with dynamics restricted by a moving wall},
author = {Patrik L. Ferrari and Sabrina Gernholt},
journal= {arXiv preprint arXiv:2403.05366},
year = {2025}
}
Comments
47 pages, 7 figures, LaTeX