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How general is thermodynamics? (English) Zbl 0612.73003

The paper concerns some basic problems of classical and statistical thermodynamics supposing that the classical one follows from statistical thermodynamics.
This statement is not proved as long as the second law is not derived from the statistical theory. The author proposes to consider the density \(\rho\) in phase space as a random function and to determine the corresponding macrofunction by theory of random media. For this he introduces an additional ergodic hypothesis which asserts that averages over macroscopic space-time elements in phase space equal averages over an ensemble of ensembles.
The macrodensity \({\bar \rho}\) is calculated and it is argued that \({\bar \rho}\) does not show macroscopic fluctuations. The thermodynamics of plastic solids is discussed.
Reviewer: C.Drugarin

MSC:

74Axx Generalities, axiomatics, foundations of continuum mechanics of solids
82B05 Classical equilibrium statistical mechanics (general)
74A15 Thermodynamics in solid mechanics
80A10 Classical and relativistic thermodynamics
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References:

[1] Ehrenfest R, Wissenschaften pp 2– (1911)
[2] DOI: 10.1016/0020-7225(74)90024-X · Zbl 0291.73061 · doi:10.1016/0020-7225(74)90024-X
[3] Ponter A. R. S., J. de Mecanique 18 pp 511– (1979)
[4] Zarka J., J. de Mecanique 12 pp 275– (1973)
[5] DOI: 10.1016/0022-5096(78)90003-0 · Zbl 0395.73033 · doi:10.1016/0022-5096(78)90003-0
[6] DOI: 10.1016/0031-8914(61)90008-8 · doi:10.1016/0031-8914(61)90008-8
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