Key role of asymmetric interactions in low-dimensional heat transport

Abstract

We study the heat current autocorrelation function (HCAF) in one-dimensional, momentum-conserving lattices. In particular, we explore if there is any relation between the decaying characteristics of the HCAF and asymmetric interparticle interactions. The Lennard-Jones model is intensively investigated in view of its significance to applications. It is found that in wide ranges of parameters, the HCAF decays faster than power-law manners, and in some cases it decays even exponentially. Following the Green-Kubo formula, the fast decay of HCAF implies the convergence of heat conductivity, which is also corroborated by numerical simulations. In addition, with a comparison to the Fermi-Pasta-Ulam-$\beta$ model of symmetric interaction, the HCAF of the Fermi-Pasta-Ulam-$\alpha$-$\beta$ model of asymmetric interaction is also investigated. Our study suggests that, in certain ranges of parameters, the decaying behavior of the HCAF is correlated to the asymmetry degree of interaction.

15 pages, 6 figures

References in corpus (6)

• Heat Transport in low-dimensional systems
• Local Temperature and Universal Heat Conduction in FPU chains
• Numerical test of hydrodynamic fluctuation theory in the Fermi-Pasta-Ulam chain
• Self-Consistent Mode-Coupling Approach to 1D Heat Transport
• Non-integrability and the Fourier heat conduction law
• Anomalous dynamical scaling in anharmonic chains and plasma models with multiparticle collisions

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• Anomalous temperature-dependent heat transport in one-dimensional momentum-conserving systems with soft-type interparticle interaction
• First-principle validation of Fourier's law in d=1,2,3 classical systems
• Thermalization in asymmetric harmonic chains
• From Near-Integrable to Far-from-Integrable: A Unified Picture of Thermalization and Heat Transport
• Construction of cubic nonlinear lattice free from umklapp processes