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 |
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Format: | Artikel |
Sprache: | eng |
Online-Zugang: | Volltext |
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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. |
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ISSN: | 0022-2488 1089-7658 |
DOI: | 10.1063/1.533224 |