Fluctuations of the heat flux of a one-dimensional hard particle gas

Abstract

Momentum-conserving one-dimensional models are known to exhibit anomalous Fourier's law, with a thermal conductivity varying as a power law of the system size. Here we measure, by numerical simulations, several cumulants of the heat flux of a one-dimensional hard particle gas. We find that the cumulants, like the conductivity, vary as power laws of the system size. Our results also indicate that cumulants higher than the second follow different power laws when one compares the ring geometry at equilibrium and the linear case in contact with two heat baths (at equal or unequal temperatures). keywords: current fluctuations, anomalous Fourier law, hard particle gas

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References in corpus (13)

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Cited by in corpus (10)

• Fluctuations in ballistic transport from Euler hydrodynamics
• Exact solution of a Levy walk model for anomalous heat transport
• Current fluctuations for anharmonic chains in thermal equilibrium
• A violation of universality in anomalous Fourier's law
• Finite-size effects on current correlation functions
• Current fluctuations at a phase transition
• Large-scale fluctuations of the largest Lyapunov exponent in diffusive systems
• Anomalous long-range correlations at a non-equilibrium phase transition
• Glauber's Ising chain between two thermostats
• Energy current cumulants in one-dimensional systems in equilibrium