Why so many “schools” of thermodynamics?

Muschik, W.

doi:10.1007/s10010-007-0053-9

Cited by 29 publications

(30 citation statements)

References 68 publications

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“…Special procedures for exploiting the dissipation inequality are necessary analogously to those used in the eld formulation of thermodynamics (see, e.g., Refs. [15,Chapter 5] or [24,Section 5.3]). …”

Section: Constitutive Mappings and Second Lawmentioning

confidence: 99%

Contact temperature and internal variables: A glance back, 20 years later

Muschik

2014

Journal of Non-Equilibrium Thermodynamics

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Section: Constitutive Mappings and Second Lawmentioning

confidence: 99%

Contact temperature and internal variables: A glance back, 20 years later

Muschik

2014

Journal of Non-Equilibrium Thermodynamics

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“…[Muschik 2007]). In addition to the classical formulation of irreversible processes as formulated by Onsager, de Groot, Mazur, and the Brussels school, we have briefly discussed the basic ideas of Rational Thermodynamics, mainly advocated by Coleman, Noll, and Truesdell, the GENERIC formalism, originally developed by Grmela andÖttinger as well as the hidden variable theory, worked out by Kestin, Maugin, Lhuillier, Bampi and Morro, among others.…”

Section: Hamiltonian Structuresmentioning

confidence: 99%

Early history of extended irreversible thermodynamics (1953–1983): An exploration beyond local equilibrium and classical transport theory

Lebon

Jou

2014

EPJ H

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Abstract. This paper gives a historical account of the early years of extended irreversible thermodynamics (EIT). The salient features of this formalism are to upgrade the thermodynamic fluxes of mass, momentum, energy, and others, to the status of independent variables, and to explore the consistency between generalized transport equations and a generalized version of the second law of thermodynamics. This requires going beyond classical irreversible thermodynamics by redefining entropy and entropy flux. EIT provides deeper foundations, closer relations with microscopic formalisms, a wider spectrum of applications, and a more exciting conceptual appeal to non-equilibrium thermodynamics. We first recall the historical contributions by Maxwell, Cattaneo, and Grad on generalized transport equations. A thermodynamic theory wide enough to cope with such transport equations was independently proposed between 1953 and 1983 by several authors, each emphasizing different kinds of problems. In 1983, the first international meeting on this theory took place in Bellaterra (Barcelona). It provided the opportunity for the various authors to meet together for the first time and to discuss the common points and the specific differences of their previous formulations. From then on, a large amount of applications and theoretical confirmations have emerged. From the historical point of view, the emergence of EIT has been an opportunity to revisit the foundations and to open new avenues in thermodynamics, one of the most classical and well consolidated physical theories.a

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“…Consequently, irreversible thermodynamics has many "schools", such as Classical Irreversible Thermodynamics (CIT), Extended Irreversible Thermodynamics (EIT), Internal Variables Thermodynamics, Rational Thermodynamics, and GENERIC (General Equation for Non-Equilibrium Reversible-Irreversible Coupling) [2][3][4][5][6][7][8][9][10]. Di erent theories work in di erent way but they yield very rich information about the system under consideration.…”

Section: Introductionmentioning

confidence: 99%

Conservation-dissipation formalism of irreversible thermodynamics

Zhu

Hong

Yang

et al. 2015

Journal of Non-Equilibrium Thermodynamics

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We propose a conservation-dissipation formalism (CDF) for coarse-grained descriptions of irreversible processes. This formalism is based on a stability criterion for non-equilibrium thermodynamics. The criterion ensures that non-equilibrium states tend to equilibrium in long time. As a systematic methodology, CDF provides a feasible procedure in choosing non-equilibrium state variables and determining their evolution equations. The equations derived in CDF have a uni ed elegant form. They are globally hyperbolic, allow a convenient de nition of weak solutions, and are amenable to existing numerics. More importantly, CDF is a genuinely nonlinear formalism and works for systems far away from equilibrium. With this formalism, we formulate novel thermodynamics theories for heat conduction in rigid bodies and non-isothermal compressible Maxwell uid ows as two typical examples. In these examples, the non-equilibrium variables are exactly the conjugate variables of the heat uxes or stress tensors. The new theory generalizes Cattaneo's law or Maxwell's law in a regularized and nonlinear fashion.

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Why so many “schools” of thermodynamics?

Cited by 29 publications

References 68 publications

Contact temperature and internal variables: A glance back, 20 years later

Contact temperature and internal variables: A glance back, 20 years later

Early history of extended irreversible thermodynamics (1953–1983): An exploration beyond local equilibrium and classical transport theory

Conservation-dissipation formalism of irreversible thermodynamics

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