Memory Effects and Heat Transport in One-dimensional Insulators

Abstract

We study the dynamical correlation functions and heat conduction for the simplest model of quasi one-dimensional (1d) dielectric crystal i.e. a chain of classical particles coupled by quadratic and cubic intersite potential. Even in the weakly nonlinear regime, numerical simulation on long enough chains reveal sizeable deviations from the perturbative results in the form of a slower decay of correlations in equilibrium. Their origin can be traced back to the subtle nonlinear effects described by mode-coupling theories. Measures of thermal conductivity with nonequilibrium molecular-dynamics method confirm the relevance of such effects for low-dimensional lattices even at very low temperatures.

to appear in European Physical Journal B

Cited by in corpus (9)

• The phonon Boltzmann equation, properties and link to weakly anharmonic lattice dynamics
• Anomalous kinetics and transport from 1D self--consistent mode--coupling theory
• Mode-coupling theory and molecular dynamics simulation for heat conduction in a chain with transverse motions
• Non-Fourier heat transport in nanosystems
• Anomalous Heat Conduction in Three-Dimensional Nonlinear Lattices
• Heat transport in nonlinear lattices free from the Umklapp process
• Nonequilibrium phenomena in nonlinear lattices: from slow relaxation to anomalous transport
• Thermalization of isolated harmonic networks under conservative noise
• Construction of cubic nonlinear lattice free from umklapp processes