Calculating the local nonequilibrium configurational entropy in quasi-one-dimensional heat conduction

Abstract

In a quasi-one-dimensional (QOD) 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 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. The largest contribution to the local configurational entropy density is calculated from two-particle correlation functions which vary locally within the nonequilibrium system. This contribution to the local configurational entropy is calculated for a QOD system in a nonequilibrium steady state.