Summary
TheH theorem based on coarse graining may be considered as a particular case of a more general mathematical theorem. Since both theorems are very similar caution is necessary not to confuse them. The mathematical theorem may possibly have some other physical applications.
Riassunto
Il teoremaH basato sulla grana grossolana può essere considerato un caso particolare di un teorema matematico più generale. Poiché i due teoremi sono molto simili, è necessario stare attenti a non confonderli. Il teorema matematico potrebbe avere alcune altre applicazioni fisiche.
Реэюме
H-теорема, основанная на « крупноэернистости », может быть рассмотрена, как частный случай более обшей математической теоремы. Так как обе теоремы являются очень похожими, необходима осторожность, чтобы не спутать их. Укаэанная математическая теорема, воэможно, может иметь другие фиэические приложения.
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References
J. W. Gibbs:Elementary Principles in Statistical Mechanics (Oxford, 1902) p. 129.
R. C. Tolman:The Principles of Statistical Mechanics (Oxford, 1938);D. ter Haar:Elements of Statistical Mechanics (Rinehart, 1955).
T. Ehrenfest andP. Ehrenfest:Sitzungsberichten der kaiserl. Akad. der Wissenschaften in Wien, Mathem.-naturw. Klasse, CXV, abt. IIa, 89 (1906).
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This work was supported by the National Science Foundation.
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Isihara, A., Wu, T.Y. A mathematical inequality related to theH theorem based on coarse graining. Nuovo Cimento B (1965-1970) 57, 83–88 (1968). https://doi.org/10.1007/BF02710316
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DOI: https://doi.org/10.1007/BF02710316