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Poster De Conférence Année : 2021

ABOUT SOME EXTREMAL PRINCIPLES IN NON-EQUILIBRIUM THERMODYNAMICS

Sergio da Cunha
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Vincent Gerbaud

Résumé

We revisit some extremum principles in non-equilibrium thermodynamics (NET), highlighting their limitations. The key idea is that system dynamics and phenomenological laws cope with the minimization or maximization of a relevant function or functional. An early variation principle in NET was proposed by Onsager in 1931, 1 being another formulation of the reciprocal laws for coupled phenomena. Onsager's law is rigorously derived for continuous thermodynamic systems close to equilibrium, based on the principle of microscopic reversibility, and is valid for linear flux-forces relationships and when local equilibrium holds. 1 Prigogine used Onsager's law to derive his "Principle of Minimum Entropy Production" (minEP). It states that, if some thermodynamic forces are fixed in a system, and others are free to change, the system evolves in such a way that it reaches a minimum of entropy production at steady state. 1 Later, Ziegler proposed his "Orthogonality Principle" as a generalization of Onsager's law for nonlinear flux-force relationships, 1,2 and attempted to demonstrate it in the particular case of homogeneous rheological bodies. He also proposed an equivalent formulation for the orthogonality principle called "Principle of Maximum Dissipation Rate" (maxEP), 1,2 and postulated its validity for continuous system under certain conditions. 3 Despite them seeming contradictory, minEP can be deduced from maxEP (Figure 1): the system maximizes entropy production at every instant, but its evolution in time decreases entropy production. 2
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Dates et versions

hal-03374390 , version 1 (12-10-2021)

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  • HAL Id : hal-03374390 , version 1

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Sergio da Cunha, Nataliya Shcherbakova, Vincent Gerbaud. ABOUT SOME EXTREMAL PRINCIPLES IN NON-EQUILIBRIUM THERMODYNAMICS. Joint European Thermodynamic Conference, Jun 2021, Prague, Czech Republic. ⟨hal-03374390⟩
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