TY  - JOUR
A1  - Schneeweiß, Christoph
T1  - Fluctuation theory of irreversible processes
T2  - Zeitschrift für Naturforschung, A
N2  - 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.
Y1  - 2014
UR  - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/74081
UR  - https://nbn-resolving.org/urn:nbn:de:hebis:30:3-740810
SN  - 1865-7109
VL  - 22
IS  - 11
SP  - 1671
EP  - 1677
PB  - Verlag der Zeitschrift für Naturforschung
CY  - Tübingen
ER  -