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Anomalous current fluctuations from Euler hydrodynamics

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arxiv 2406.20091 v3 pith:2GYJW7ZV submitted 2024-06-28 cond-mat.stat-mech cond-mat.quant-gascond-mat.str-elmath-phmath.MP

classification cond-mat.stat-mechcond-mat.quant-gascond-mat.str-elmath-phmath.MP
keywords fluctuationsanomalouscurrenttypicaleulerresultsstochasticadditional
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We consider the hydrodynamic origin of anomalous current fluctuations in a family of stochastic charged cellular automata. Using ballistic macroscopic fluctuation theory, we study both typical and large fluctuations of the charge current and reproduce microscopic results which are available for the deterministic single-file limit of the models. Our results indicate that in general initial fluctuations propagated by Euler equations fully characterize both scales of anomalous fluctuations. For stochastic dynamics, we find an additional contribution to typical fluctuations and conjecture the functional form of the typical probability distribution, which we confirm by numerical simulations.

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  1. Fluctuations of stochastic charged cellular automata

    cond-mat.stat-mech 2025-02 conditional novelty 6.0 of 10

    Exact full counting statistics for a stochastic charged cellular automaton yield a one-parameter family of typical charge-current distributions interpolating between single-file and Gaussian limits.

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