Heat conduction in the disordered Fermi-Pasta-Ulam chain

Abstract

We address the question of the effect of disorder on heat conduction in an anharmonic chain with interactions given by the Fermi-Pasta-Ulam (FPU) potential. In contrast to the conclusions of an earlier paper [Phys. Rev. Lett. 86, 63 (2001)] which found that disorder could induce a finite thermal conductivity at low temperatures, we find no evidence of a finite temperature transition in conducting properties. Instead, we find that at low temperatures, small system size transport properties are dominated by disorder but the asymptotic system size dependence of current is given by the usual FPU result J ~ 1/N^{2/3}. We also present new interesting results on the binary-mass ordered FPU chain.

4 pages, 5 figures

References in corpus (8)

• Localization of interacting fermions at high temperature
• Anderson localization and nonlinearity in one dimensional disordered photonic lattices
• Destruction of Anderson localization by a weak nonlinearity
• Absence of Wavepacket Diffusion in Disordered Nonlinear Systems
• A momentum conserving model with anomalous thermal conductivity in low dimension
• Local Temperature and Universal Heat Conduction in FPU chains
• Effect of phonon-phonon interactions on localization
• Low-Temperature Collapse of Electron Localisation in Two Dimensions

Cited by in corpus (15)

• Vibrational Heat Transport in Molecular Junctions
• Anomalous Heat Conduction and Anomalous Diffusion in Low Dimensional Nanoscale Systems
• Weak chaos in the disordered nonlinear Schroedinger chain: destruction of Anderson localization by Arnold diffusion
• Anomalous heat transport in one dimensional systems: a description using non-local fractional-type diffusion equation
• Heat conduction in disordered harmonic lattices with energy conserving noise
• Heat fluctuations in a harmonic chain of active particles
• Chaos and Anderson Localisation in Disordered Classical Chains: Hertzian vs FPUT models
• Classical and quantum systems: transport due to rare events
• Localization effects due to a random magnetic field on heat transport in a harmonic chain
• Delocalization and heat transport in multidimensional trapped ion systems
• Energy Transport in an Ising Disordered Model
• Propagation dynamics on the Fermi-Pasta-Ulam lattices
• Glassy dynamics in strongly anharmonic chains of oscillators
• Energy-recurrence Breakdown and Chaos in Disordered Fermi-Pasta-Ulam-Tsingou Lattices
• The largest Lyapunov exponent as a tool for detecting relative changes in the particle positions