Thermodynamics of classical integrable field theories

TL;DR

This paper studies the thermodynamics of classical integrable field theories with random initial conditions, using numerical and analytical methods to understand their approach to thermal equilibrium and potential quantum analogs.

Contribution

It provides a combined numerical and analytical analysis of classical integrable field theories' thermodynamics under random initial states, exploring connections to quantum thermalization.

Findings

Numerical simulations match analytical predictions of thermalization behavior.

Classical results offer insights into quantum out-of-equilibrium dynamics.

Potential for classical-quantum comparison in thermalization processes.

Abstract

We investigate the thermodynamics of integrable classical field theories under the effect of a random initial configuration, motivated by the nonequilibrium evolution of quantum field theories. The approach to thermal equilibrium is analysed with numerical simulations and confronted with analytical results. The possibility of comparing the classical results with their quantum counterparts could be a way of inferring the behaviour of out-of-equilibrium quantum field theories during the thermalization process.