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Partial Integrability as the Basis for the Existence of Entropy in Irreversible Systems
Author(s) -
Valanis K. C.
Publication year - 1983
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19830630202
Subject(s) - basis (linear algebra) , pfaffian , mathematics , entropy (arrow of time) , statistical physics , thermodynamics , physics , pure mathematics , geometry
The concept of internal forces of the first and second kind is introduced and discussed. The physical basis for thermodynamic inaccessibility is established. The existence of entropy for irreversible systems is then proved on the basis of the concept of ‚partial integrability’ of Pfaffian forms. Evolution equations for the internal variables are thereby proposed and discussed.