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Statistical foundations of thermodynamics. II. Equivalence problem. stability conditions

  • On the basis of the results obtained in a previous paper it is shown that in the thermodynamic limit the analogues of the Massieu-Plandc functions are linked with each other by means of the Legendre transformation. The existence of the limiting function φk(∞) implies the existence of the limiting function φl(∞) (l<k) under the same assumptions. Passage to the limit and derivation with respect to all independent variables commute. A statistical derivation of the thermodynamic stability condition in its most general form is given which leads naturally to a statistical interpretation of the concept of thermodynamic stability.

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Metadaten
Author:E. Still, Karl Haubold, Arnold MünsterGND
URN:urn:nbn:de:hebis:30:3-740615
DOI:https://doi.org/10.1515/zna-1969-0318
ISSN:1865-7109
Parent Title (German):Zeitschrift für Naturforschung, A
Publisher:Verlag der Zeitschrift für Naturforschung
Place of publication:Tübingen
Document Type:Article
Language:English
Date of Publication (online):2014/06/02
Year of first Publication:1969
Publishing Institution:Universitätsbibliothek Johann Christian Senckenberg
Release Date:2024/02/08
Volume:24.1969
Issue:3
Page Number:6
First Page:412
Last Page:417
Institutes:Biochemie, Chemie und Pharmazie / Biochemie und Chemie
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 54 Chemie / 540 Chemie und zugeordnete Wissenschaften
Sammlungen:Universitätspublikationen
Licence (German):License LogoCreative Commons - Namensnennung-Nicht kommerziell-Keine Bearbeitung 3.0