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Entropy 2014, 16(3), 1756-1807; doi:10.3390/e16031756
Article

Entropy Principle and Recent Results in Non-Equilibrium Theories

1,* , 2
,
3
 and
4,5,6
1 Department of Mathematics, Computer Science and Economics, University of Basilicata, Potenza 85100, Italy 2 Departament de Física, Universitat Autònoma de Barcelona, Bellaterra, and Institut d'Estudis Catalans, Barcelona, Catalonia 08193, Spain 3 Department of Mathematics and Research Center of Applied Mathematics, University of Bologna, Bologna 40123, Italy 4 Department of Theoretical Physics, Wigner Research Centre for Physics, Institute for Particle and Nuclear Physics, Budapest 1121, Hungary 5 Department of Energy Engineering, BME, Budapest 1111, Hungary 6 Montavid Thermodynamic Research Group, Budapest 1112 , Hungary
* Author to whom correspondence should be addressed.
Received: 30 December 2013 / Revised: 27 January 2014 / Accepted: 7 March 2014 / Published: 24 March 2014
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Abstract

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.
Keywords: continuum thermodynamics; entropy principle; rational thermodynamics; classical irreversible thermodynamics; extended irreversible thermodynamics; rational extended thermodynamics; exploitation of second law continuum thermodynamics; entropy principle; rational thermodynamics; classical irreversible thermodynamics; extended irreversible thermodynamics; rational extended thermodynamics; exploitation of second law
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Cimmelli, V.A.; Jou, D.; Ruggeri, T.; Ván, P. Entropy Principle and Recent Results in Non-Equilibrium Theories. Entropy 2014, 16, 1756-1807.

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