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The minimum rate of dissipation principle

par Sonnino, Giorgio ;Evslin, JARAH J
Référence Physics letters. A, 365, 5-6, page (364-369)
Publication Publié, 2007-06

Article révisé par les pairs

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Résumé :

We demonstrate that if the relaxation of a non-equilibrium system towards a steady-state satisfies the shortest path principle, then a covariant form of the Glansdorff-Prigogine Universal Criterion of Evolution is also satisfied. We further prove that the Glansdorff-Prigogine quantity is locally minimized when the evolution traces out a geodesic in the space of thermodynamic configurations. Physically the minimization of this term is the Minimum Rate of Dissipation Principle, which states that a thermodynamic system evolves towards a steady-state with the least possible dissipation and therefore relaxes along a geodesic. © 2007 Elsevier B.V. All rights reserved.