Aspects of Non-Equilibrium Thermodynamics

Muschik, W.

doi:10.1142/0991

Cited by 62 publications

(115 citation statements)

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“…This is not in contradiction with the amendment to the second law proposed by Muschik and Ehrentraut [14], specified in the the introduction, because that amendment implicitly refers to exact constitutive equations [14,75].…”

Section: The Entropy Principle In Extended Irreversible Thermodynamicsmentioning

confidence: 65%

Entropy Principle and Recent Results in Non-Equilibrium Theories

Cimmelli

Jou

Ruggeri

et al. 2014

Entropy

102

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We present the state of the art on the modern mathematical methods of exploiting the entropy principle in thermomechanics of continuous media. A survey of recent results and conceptual discussions of this topic in some well-known non-equilibrium theories (Classical irreversible thermodynamics CIT, Rational thermodynamics RT, Thermodynamics of irreversible processes TIP, Extended irreversible thermodynamics EIT, Rational Extended thermodynamics RET) is also summarized.

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Section: The Entropy Principle In Extended Irreversible Thermodynamicsmentioning

confidence: 65%

Entropy Principle and Recent Results in Non-Equilibrium Theories

Cimmelli

Jou

Ruggeri

et al. 2014

Entropy

102

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“…The second group of laws deals with the evolution equation of the internal variable (the dislocation core tensor) and the rate equation for the heat flux q , that, in field formulation, we may assume to have the form [22], [23], [24] and [25] …”

Section: Dislocation Dynamics Energy Flux and Non-equilibrium Thermomentioning

confidence: 99%

Non-equilibrium temperatures and heat transport in nanosystems with defects, described by a tensorial internal variable

Restuccia

2016

Communications in Applied and Industrial Mathematics

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The paper deals with the meaning of non-equilibrium temperatures in nanosystems with an internal variable, describing defects inside them, and implications on heat transport. In equilibrium all definitions of temperature lead to the same value, but in nonequilibrium steady states they lead to different values, giving information on different degrees of freedom. We discuss the caloric and entropic non-equilibrium temperatures and the relations among them, in defective nanosystems (crystals with dislocations or porous channels, carbon nanotubes in a solid matrix and so on), crossed by an external energy flux. Here, we present a model for nanocrystals with dislocation defects submitted to an external energy flux. The dislocations may have a strong influence on the effective thermal conductivity, and their own dynamics may be coupled in relevant way to the heat flux dynamics. In the linear case the constitutive relations, the rate equations for the internal variable and the heat flux are worked out and a generalized telegraphic heat equation is derived in the anisotropic and isotropic case, describing the thermal disturbances with finite velocity.

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“…The "equation of motion" of these variables is the first law of thermodynamics valid in non-equilibrium [32] (2)U =Q + A ·ȧ + h ·ṅ e .…”

Section: Thermodynamics Of Irreversible Processesmentioning

confidence: 99%

Why so many “schools” of thermodynamics?

Muschik

2007

Forsch Ingenieurwes

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ABSTRACT. A classification representing some main branches of phenomenological nonequilibrium thermodynamics is discussed. Differences and similarities of these selected branches are explained. Starting out with basic concepts of phenomenological thermodynamics, more developed theories with different back-grounds contributing to contemporary thermodynamics are considered. Because of its vast extent, this field cannot be presented completely in a single reasonably sized paper without any omissions.

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Aspects of Non-Equilibrium Thermodynamics

Cited by 62 publications

References 0 publications

Entropy Principle and Recent Results in Non-Equilibrium Theories

Entropy Principle and Recent Results in Non-Equilibrium Theories

Non-equilibrium temperatures and heat transport in nanosystems with defects, described by a tensorial internal variable

Why so many “schools” of thermodynamics?

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