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Entropy 2013, 15(12), 5580-5596; doi:10.3390/e15125580
Article

A Characterization of Conserved Quantities in Non-Equilibrium Thermodynamics

Received: 30 August 2013; in revised form: 15 November 2013 / Accepted: 6 December 2013 / Published: 17 December 2013
Download PDF [256 KB, uploaded 17 December 2013]
Abstract: The well-known Noether theorem in Lagrangian and Hamiltonian mechanics associates symmetries in the evolution equations of a mechanical system with conserved quantities. In this work, we extend this classical idea to problems of non-equilibrium thermodynamics formulated within the GENERIC (General Equations for Non-Equilibrium Reversible-Irreversible Coupling) framework. The geometric meaning of symmetry is reviewed in this formal setting and then utilized to identify possible conserved quantities and the conditions that guarantee their strict conservation. Examples are provided that demonstrate the validity of the proposed definition in the context of finite and infinite dimensional thermoelastic problems.
Keywords: non-equilibrium thermodynamics; symmetry; Noether’s theorem; conserved quantities non-equilibrium thermodynamics; symmetry; Noether’s theorem; conserved quantities
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.

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MDPI and ACS Style

Romero, I. A Characterization of Conserved Quantities in Non-Equilibrium Thermodynamics. Entropy 2013, 15, 5580-5596.

AMA Style

Romero I. A Characterization of Conserved Quantities in Non-Equilibrium Thermodynamics. Entropy. 2013; 15(12):5580-5596.

Chicago/Turabian Style

Romero, Ignacio. 2013. "A Characterization of Conserved Quantities in Non-Equilibrium Thermodynamics." Entropy 15, no. 12: 5580-5596.


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