A characterization of conserved quantities in non-equilibrium thermodynamics

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
Author/s:
  • Romero Olleros, Ignacio
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

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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
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
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