On the relationship between extended thermodynamics and the wave approach to thermodynamics
type: Item
instance of: scholarly article
title: On the relationship between extended thermodynamics and the wave approach to thermodynamics
zbMATH Open document ID: 0648.73004
published in: Journal of Non-Equilibrium Thermodynamics
publication date: 1988-01-01T00:00:00Z
review text: A comparative analysis of two formulations of nonlinear irreversible processes is performed. We first disclose the difference between the well known Onsager-Machlup linear theory and the wave approach to thermodynamics (WAT) introduced by \textit{I. Gyarmati} [ibid. 2, 233-260 (1977; Zbl 0366.73002)]. We then discuss the essential content of the goal and postulates of extended irreversible thermodynamics (EIT) and compare them with those of WAT. From this comparison the differences, scope and limitations of each theory follow and the precise special conditions under which both theories yield similar results are identified. Finally, the more general type of constitutive equations that EIT can yield is illustrated by studying the behaviour of a nonlinear heat conductor.
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 82B35
Mathematics Subject Classification ID: 76A02
Mathematics Subject Classification ID: 74A20
Mathematics Subject Classification ID: 80A05
zbMATH DE Number: 4058945
zbMATH Keywords: two formulations of nonlinear irreversible processes
zbMATH Keywords: Onsager-Machlup linear theory
zbMATH Keywords: extended irreversible thermodynamics
author: Leopoldo S. García-Colín
author: Rosalio F. Rodriguez
MaRDI profile type: Publication
full work available at URL: jnet.1988.13.1.81
OpenAlex ID: W2133219995
cites work: On the wave approach of thermodynamics and some problems of nonlinear theories
cites work: Asymmetrical heat conduction in inhomogeneous materials
cites work: A Variational Principle for Thermodynamical Waves
DOI: 10.1515/JNET.1988.13.1.81
description: scientific article; zbMATH DE number 4058945