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A characterization of conserved quantities in non-equilibrium thermodynamics
Citation
Romero Olleros, Ignacio (2013). A characterization of conserved quantities in non-equilibrium thermodynamics. "Entropy", v. 15 (n. 12); pp. 5580-5596. ISSN 1099-4300. https://doi.org/10.3390/e15125580.
Description
| Title: | A characterization of conserved quantities in non-equilibrium thermodynamics |
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| Author/s: |
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| Item Type: | Article |
| Título de Revista/Publicación: | Entropy |
| Date: | December 2013 |
| ISSN: | 1099-4300 |
| Volume: | 15 |
| Subjects: | |
| Freetext Keywords: | Non-equilibrium thermodynamics; symmetry; Noether’s theorem; conserved quantities |
| Faculty: | E.T.S.I. Industriales (UPM) |
| Department: | Mecánica Estructural y Construcciones Industriales [hasta 2014] |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
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.
More information
| Item ID: | 25691 |
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| DC Identifier: | http://oa.upm.es/25691/ |
| OAI Identifier: | oai:oa.upm.es:25691 |
| DOI: | 10.3390/e15125580 |
| Official URL: | http://www.mdpi.com/1099-4300/15/12/5580 |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 05 May 2014 16:40 |
| Last Modified: | 22 Sep 2014 11:37 |
