Thermodynamics based on the Hahn-Banach theorem: The Clausius inequality

DOI10.1007/BF00261935zbMath0587.73008OpenAlexW2091471398WikidataQ56531623 ScholiaQ56531623MaRDI QIDQ1072737

Richard B. Lavine, Martin Feinberg

Publication date: 1983

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00261935

zbMATH Keywords

orderingexistenceequivalence classesClausius inequalityHahn- Banach theoremcyclic processesCarnot processesClausius temperaturecomplete conversion of heat into workdivision of the state spacehotness levelsKelvin-Planck prohibitionUniqueness of temperature scales

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Foundations of thermodynamics and heat transfer (80A05) Generalities, axiomatics, foundations of continuum mechanics of solids (74Axx)

Related Items (7)

The fundamental property of a perfect gas and the second law of thermodynamics ⋮ The Hahn-Banach theorem: The life and times ⋮ A survey of entropy methods for partial differential equations ⋮ Resource convertibility and ordered commutative monoids ⋮ The physics and mathematics of the second law of thermodynamics ⋮ Thermodynamics based on a work inequality ⋮ On baricenters of heating measures and thermodynamical inequalities

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• Global properties of continuum thermodynamic processes
• Lectures on the foundation of continuum mechanics and thermodynamics
• An axiomatic foundation for continuum thermodynamics
• Thermodynamics based on a work axiom
• On certain convex sets of measures and on phases of reacting mixtures

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