This group gathers theorems of statistical mechanics and thermodynamics, which explain the behaviour of large collections of particles and the flow of heat and energy. It covers results on the approach to equilibrium, the distribution of energy among degrees of freedom, relations between flows and forces near equilibrium, and the laws of thermodynamics. A theorem belongs here when its cited article places it in statistical mechanics, statistical physics or thermodynamics.
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Statistical Mechanics and Thermodynamics
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H-theorem, Wikipedia
Has Member: H-Theorem, Lead sectionQuote, Has Member: H-Theorem, Lead section
In classical statistical mechanics, the H-theorem, introduced by Ludwig Boltzmann
Bohr-Van Leeuwen theorem (Wikipedia)
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The Bohr-Van Leeuwen theorem states that when statistical mechanics and classical mechanics are applied consistently
Nernst heat theorem (Wikipedia)
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and was used in the development of the third law of thermodynamics.
Onsager reciprocal relations (Wikipedia)
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equality was shown to be necessary by Lars Onsager using statistical mechanics as a consequence of the time reversibility of
Fluctuation-dissipation theorem (Wikipedia)
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relation (FDR) is a powerful tool in statistical physics for predicting the behavior of systems that obey
Prigogine's theorem - Wikipedia
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Prigogine's theorem is a theorem of non-equilibrium thermodynamics, originally formulated by Ilya Prigogine. The
Equipartition theorem (Wikipedia)
Has Member: Equipartition Theorem, Lead sectionQuote, Has Member: Equipartition Theorem, Lead section
In classical statistical mechanics, the equipartition theorem relates the temperature
Clausius theorem, Wikipedia
Has Member: Clausius Theorem, Lead sectionQuote, Has Member: Clausius Theorem, Lead section
inequality is a consequence of applying the second law of thermodynamics at each infinitesimal stage of heat transfer.
Poincare recurrence theorem (Wikipedia)
Has Member: Poincare Recurrence Theorem, Lead sectionQuote, Has Member: Poincare Recurrence Theorem, Lead section
is a foundational result in both dynamical systems and statistical mechanics. The theorem is named after Henri Poincaré, who
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