Informational extended thermodynamics of phonon and self-diffusion components of heat conduction in liquids
type: Item
instance of: scholarly article
title: Informational extended thermodynamics of phonon and self-diffusion components of heat conduction in liquids
zbMATH Open document ID: 0933.76088
author: R. E. Nettleton
published in: Journal of Non-Equilibrium Thermodynamics
publication date: 2000-03-19T00:00:00Z
review text: This paper presents an information-theoretical analysis of heat-conducting liquids in non-equilibrium states. The total heat flux is split into two components carried respectively by longitudinal sound and self-diffusing molecules, following a previous model by the author [Phys. Fluids 3, 216 ff (1960)]. The corresponding conjugated Lagrange multipliers used in maximizing the entropy are calculated, and the nonequilibrium entropy is presented. The relaxation rate equations for both components of the heat flux, which are assumed mutually independent, are obtained by a method proposed by \textit{Robertson} [Phys. Rev. 144, 151 ff (1966)]. In this approximation, pressure and viscosity are assumed to be analytical functions of the temperature gradient.
Mathematics Subject Classification ID: 76R50
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 1322567
zbMATH Keywords: splitting of total heat flux
zbMATH Keywords: maximization of entropy
zbMATH Keywords: conjugated Lagrange multipliers
zbMATH Keywords: nonequilibrium entropy
zbMATH Keywords: relaxation rate equations
reviewed by: D. Jou
MaRDI profile type: Publication
full work available at URL: jnet.1998.23.3.239
OpenAlex ID: W2056932559
cites work: Shear-rate nonanalyticity in simple liquids
cites work: Information Theory and Statistical Mechanics
cites work: Equations of motion in nonequilibrium statistical mechnanics
DOI: 10.1515/JNET.1998.23.3.239
description: scientific article; zbMATH DE number 1322567