Fluctuations of stochastic charged cellular automata
Statistical Mechanics
2025-06-02 v3 Mathematical Physics
math.MP
Abstract
We obtain the exact full counting statistics of a cellular automaton with freely propagating vacancies and charged particles that are stochastically scattered or transmitted upon collision by identifying the problem as a colored stochastic six-vertex model with one inert color. Typical charge current fluctuation at vanishing net charge follow a one-parameter distribution that interpolates between the distribution of the charged single-file class in the limit of pure reflection and a Gaussian distribution in the limit of pure transmission.
Keywords
Cite
@article{arxiv.2502.02509,
title = {Fluctuations of stochastic charged cellular automata},
author = {Žiga Krajnik and Katja Klobas and Bruno Bertini and Tomaž Prosen},
journal= {arXiv preprint arXiv:2502.02509},
year = {2025}
}
Comments
35 pages, comments welcome v3: Fixed typos, minor clarifications, added Ref. 49