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Entropy 2017, 19(3), 126; doi:10.3390/e19030126

Nonequilibrium Thermodynamics and Scale Invariance

1
Technical Physics Department, Ural Federal University, 19 Mira St., Ekaterinburg 620002, Russia
2
Institute of Industrial Ecology, Russian Academy of Sciences, 20 S. Kovalevskaya St., Ekaterinburg 620219, Russia
3
The Racah Institute of Physics, Hebrew University of Jerusalem, Jerusalem 91904, Israel
*
Author to whom correspondence should be addressed.
Academic Editors: Milivoje M. Kostic, Miguel Rubi and Kevin H. Knuth
Received: 30 January 2017 / Revised: 7 March 2017 / Accepted: 14 March 2017 / Published: 16 March 2017
(This article belongs to the Section Thermodynamics)
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Abstract

A variant of continuous nonequilibrium thermodynamic theory based on the postulate of the scale invariance of the local relation between generalized fluxes and forces is proposed here. This single postulate replaces the assumptions on local equilibrium and on the known relation between thermodynamic fluxes and forces, which are widely used in classical nonequilibrium thermodynamics. It is shown here that such a modification not only makes it possible to deductively obtain the main results of classical linear nonequilibrium thermodynamics, but also provides evidence for a number of statements for a nonlinear case (the maximum entropy production principle, the macroscopic reversibility principle, and generalized reciprocity relations) that are under discussion in the literature. View Full-Text
Keywords: dissipation function; nonequilibrium thermodynamics; generalized fluxes and forces dissipation function; nonequilibrium thermodynamics; generalized fluxes and forces
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Martyushev, L.M.; Celezneff, V. Nonequilibrium Thermodynamics and Scale Invariance. Entropy 2017, 19, 126.

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