Next Article in Journal
Entropy and Equilibria in Competitive Systems
Next Article in Special Issue
Non-Equilibrium Liouville and Wigner Equations: Moment Methods and Long-Time Approximations
Previous Article in Journal
Global Inequality in Energy Consumption from 1980 to 2010
Previous Article in Special Issue
Symmetry-Based Balance Equation for Local Entropy Density in a Dissipative Multibaker Chain System
Open AccessArticle

A Characterization of Conserved Quantities in Non-Equilibrium Thermodynamics

E.T.S. Ingenieros Industriales, Technical University of Madrid, Madrid 28006, Spain
Entropy 2013, 15(12), 5580-5596; https://doi.org/10.3390/e15125580
Received: 30 August 2013 / Revised: 15 November 2013 / Accepted: 6 December 2013 / Published: 17 December 2013
(This article belongs to the Special Issue Advances in Methods and Foundations of Non-Equilibrium Thermodynamics)
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. View Full-Text
Keywords: non-equilibrium thermodynamics; symmetry; Noether’s theorem; conserved quantities non-equilibrium thermodynamics; symmetry; Noether’s theorem; conserved quantities
Show Figures

Figure 1

MDPI and ACS Style

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

Show more citation formats Show less citations formats

Article Access Map by Country/Region

1
Only visits after 24 November 2015 are recorded.
Search more from Scilit
 
Search
Back to TopTop