Anomalous Fourier's law and long range correlations in a 1D non-momentum conserving mechanical model

Abstract

We study by means of numerical simulations the velocity reversal model, a one-dimensional mechanical model of heat transport introduced in 1985 by Ianiro and Lebowitz. Our numerical results indicate that this model, although it does not conserve momentum, exhibits an anomalous Fourier's law similar to the ones previously observed in momentum-conserving models. This is contrary to what is obtained from the solution of the Boltzmann equation (BE) for this system. The pair correlation velocity field also looks very different from the correlations usually seen in diffusive systems, and shares some similarity with those of momentum-conserving heat transport models.

7 pages, 11 figures

References in corpus (4)

• Heat Transport in low-dimensional systems
• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• A momentum conserving model with anomalous thermal conductivity in low dimension
• Anomalous energy transport in the FPU-beta chain

Cited by in corpus (8)

• Fourier law from a chain of coupled anharmonic oscillators under energy conserving noise
• Fourier's law from a chain of coupled planar harmonic oscillators under energy conserving noise
• Current fluctuations at a phase transition
• Temperature profile and boundary conditions in an anomalous heat transport model
• Anomalous energy transport in FPU-$\beta$ chain
• Ising chain: Thermal conductivity and first-principle validation of Fourier law
• Anomalous long-range correlations at a non-equilibrium phase transition
• First-Principle Validation of Fourier's Law: One-Dimensional Classical Inertial Heisenberg Model