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.
Author: | E. Still, Karl Haubold, Arnold MünsterGND |
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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): | Creative Commons - Namensnennung-Nicht kommerziell-Keine Bearbeitung 3.0 |