Fluctuations of stochastic charged cellular automata
arXiv:2502.02509 · doi:10.1088/1742-5468/add513
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.
35 pages, comments welcome v3: Fixed typos, minor clarifications, added Ref. 49
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