Fluctuation theory of irreversible processes
- LANGEVIN equations of the type dn× (t)/dtn+...+c × (t)=K (t) constitute the starting point of a phenomenological fluctuation theory of irreversible processes. These equations are not constructed from transport equations (as in the older theory), but via a generalized MASTER equation from phase space mechanics. The MARKOFF processes of first and higher order defined by the various LANGEVIN equations are studied by the prediction theory of stationary stochastic processes. Instead of the variation principle of the ONSAGEB–MACHLUP theory one has the minimization of the prediction error. The mean relaxation path and the entropy of the considered processes are calculated. It is shown that the entropy consists of one part which is given by the relaxation path and another which is determined by the prediction error.
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| Author: | Christoph SchneeweißGND |
|---|---|
| URN: | urn:nbn:de:hebis:30:3-740810 |
| DOI: | https://doi.org/10.1515/zna-1967-1102 |
| 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: | 1967 |
| Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
| Release Date: | 2023/06/26 |
| Volume: | 22 |
| Issue: | 11 |
| Page Number: | 7 |
| First Page: | 1671 |
| Last Page: | 1677 |
| HeBIS-PPN: | 510501605 |
| 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 |
