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arXiv · 2502.02509

Fluctuations of stochastic charged cellular automata

Žiga Krajnik·Katja Klobas·Bruno Bertini·Tomaž Prosen
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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.

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Žiga Krajnik, Katja Klobas, Bruno Bertini, Tomaž Prosen. 2025-02-04. Fluctuations of stochastic charged cellular automata. https://doi.org/10.1088/1742-5468/add513

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