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.
Non-Gaussian diffusive fluctuations in Dirac fluids
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abstract
Dirac fluids - interacting systems obeying particle-hole symmetry and Lorentz invariance - are among the simplest hydrodynamic systems; they have also been studied as effective descriptions of transport in strongly interacting Dirac semimetals. Direct experimental signatures of the Dirac fluid are elusive, as its charge transport is diffusive as in conventional metals. In this paper we point out a striking consequence of fluctuating relativistic hydrodynamics: the full counting statistics (FCS) of charge transport is highly non-gaussian. We predict the exact asymptotic form of the FCS, which generalizes a result previously derived for certain interacting integrable systems. A consequence is that, starting from quasi-one dimensional nonequilibrium initial conditions, charge noise in the hydrodynamic regime is parametrically enhanced relative to that in conventional diffusive metals.
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cond-mat.stat-mech 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
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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.