Fluctuations of the heat flux of a one-dimensional hard particle gas
Laboratoire de Physique Statistique, École Normale Supérieure, UPMC Paris 6, Université Paris Diderot, CNRS 24 rue Lhomond, 75231 Paris Cedex 05 - France, EU
Corresponding author: firstname.lastname@example.org
Accepted: 9 April 2010
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).
PACS: 02.50.-r – Probability theory, stochastic processes, and statistics / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.70.Ln – Nonequilibrium and irreversible thermodynamics
© EPLA, 2010