Local Nonequilibrium Configurational Entropy in Quasi-one-dimensional Heat Conduction

TL;DR

This paper investigates local configurational entropy in a quasi-one-dimensional heat conduction system, revealing how local correlations influence entropy distribution under nonequilibrium steady states.

Contribution

It introduces a method to compute local configurational entropy density from two-particle correlations in a nonequilibrium system, linking microscopic correlations to macroscopic entropy.

Findings

Local configurational entropy varies within the system.

Entropy density correlates with local particle correlations.

System exhibits anomalous thermal conductivity.

Abstract

In a quasi-one-dimensional system the particles remain ordered from left to right allowing the association of a volume element to the particle which on average resides there. Thus the properties of that single particle can give the local densities in the volume element. With reservoirs of different temperatures connected to each end of the system a steady heat current with an anomalous thermal conductivity results. A local configurational entropy density is calculated from two-particle correlation functions which varies locally within the nonequilibrium steady state. This local configurational entropy is proposed as the configurational component of the local entropy of the nonequilibrium steady state.