Fluctuations of stochastic charged cellular automata
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866910975578341376 |
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| author | Krajnik, Žiga Klobas, Katja Bertini, Bruno Prosen, Tomaž |
| author_facet | Krajnik, Žiga Klobas, Katja Bertini, Bruno Prosen, Tomaž |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_02509 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fluctuations of stochastic charged cellular automata Krajnik, Žiga Klobas, Katja Bertini, Bruno Prosen, Tomaž Statistical Mechanics Mathematical Physics 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. |
| title | Fluctuations of stochastic charged cellular automata |
| topic | Statistical Mechanics Mathematical Physics |
| url | https://arxiv.org/abs/2502.02509 |