On the mathematical structure of thermodynamics

A mathematically exact dynamical theory of classical thermodynamics of homogeneous bodies is presented in which processes are time-dependent functions, governed by an ordinary differential equation. The fundamental objects of the mathematical structure of a thermodynamical system are the dynamical l...

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Veröffentlicht in:Journal of mathematical physics 2000-04, Vol.41 (4), p.2021-2042
1. Verfasser: Matolcsi, T.
Format: Artikel
Sprache:eng
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Zusammenfassung:A mathematically exact dynamical theory of classical thermodynamics of homogeneous bodies is presented in which processes are time-dependent functions, governed by an ordinary differential equation. The fundamental objects of the mathematical structure of a thermodynamical system are the dynamical law, the thermodynamical force, and the constraints; all the other usual notions, too, such as substances, bodies, linear approximation by Onsager, etc. have got a mathematical definition. Equilibria are the constant processes; their stability is investigated by Lyapunov’s method.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.533224