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Published on: May 18, 2021
Hydrodynamic fluctuations of stochastic charged cellular automata
Takato Yoshimura1,2, Žiga Krajnik3
1All Souls College, Oxford OX1 4AL, United Kingdom.
None:
We study charge fluctuations of a family of stochastic charged cellular automata away from the deterministic single-file limit and obtain the exact typical charge probability distributions, known to be anomalous, using hydrodynamics. The cellular automata considered are examples of linearly degenerate systems where two distinct mechanisms of diffusion, namely, normal and convective diffusion, coexist. Our formalism, based on macroscopic fluctuation theory, allows us to describe current fluctuations stemming from these two diffusive processes, and we expect it to be applicable to generic linearly degenerate systems. The derived probability distributions match the exact microscopic result and numerical simulations.
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