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Toward Formal Analysis of Thermodynamic Stability: Le Chatelier—Brown Principle

Dmitry Gromov, Alexander Toikka

2020Entropy22 citationsDOIOpen Access PDF

Abstract

In this contribution, we carry on with the research program initiated in J. Math. Chem., 58(6), 2020. Using the methods from geometric thermodynamics, we formally derive and analyze different conditions for thermodynamic stability and determine the limits of their use. In particular, we study, in detail, several versions of the Le Chatelier—Brown principle and demonstrate their application to the analysis of thermodynamic stability.

Topics & Concepts

Stability (learning theory)MathematicsStatistical physicsThermodynamicsApplied mathematicsPhysicsComputer scienceMachine learningAdvanced Thermodynamics and Statistical MechanicsPhase Equilibria and ThermodynamicsControl and Stability of Dynamical Systems
Toward Formal Analysis of Thermodynamic Stability: Le Chatelier—Brown Principle | Litcius