The XNOR spin current has Gaussian, half-normal, and M-Wright limits on t^(1/4) or t^(1/8) scales with explicitly derived amplitudes, supported by parameter-free simulations.
Fluctuations of stochastic charged cellular automata
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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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Anomalous current fluctuations in the stochastic XNOR hopping model
The XNOR spin current has Gaussian, half-normal, and M-Wright limits on t^(1/4) or t^(1/8) scales with explicitly derived amplitudes, supported by parameter-free simulations.