Nonequilibrium phenomena in nonlinear lattices: from slow relaxation to anomalous transport

TL;DR

This paper reviews how nonlinear interactions in open non-equilibrium systems lead to phenomena like slow relaxation and anomalous heat transport, highlighting their general properties and implications.

Contribution

It provides an overview of nonlinear effects in non-equilibrium statistical mechanics, focusing on open systems and classical oscillator models.

Findings

Identification of extremely slow relaxation processes

Observation of non-Fourier heat transport

Highlighting the generality of anomalous properties

Abstract

This Chapter contains an overview of the effects of nonlinear interactions in selected problems of non-equilibrium statistical mechanics. Most of the emphasis is put on open setups, where energy is exchanged with the environment. With reference to a few models of classical coupled anharmonic oscillators, we review anomalous but general properties such as extremely slow relaxation processes, or non-Fourier heat transport.