Simple derivations of generalized linear and nonlinear Langevin equations
- 1 September 1973
- journal article
- Published by IOP Publishing in Journal of Physics A: Mathematical, Nuclear and General
- Vol. 6 (9) , 1289-1295
- https://doi.org/10.1088/0305-4470/6/9/004
Abstract
With the aid of a single operator identity, the derivation of the Mori generalized linear Langevin equation is simplified and a new generalized nonlinear Langevin equation is obtained. The flexibility of the method is stressed which allows the derivation of various generalized nonlinear Langevin equations that can be used as bases for devising approximation schemes such as the mode coupling scheme.Keywords
This publication has 8 references indexed in Scilit:
- Derivation of the stationary generalized Langevin equationJournal of Physics A: General Physics, 1971
- Microscopic Method for Calculating Memory Functions in Transport TheoryPhysical Review A, 1971
- Kinetic equations and time correlation functions of critical fluctuationsAnnals of Physics, 1970
- Derivation of Kinetic Equations from the Generalized Langevin EquationPhysical Review B, 1969
- The fluctuation-dissipation theoremReports on Progress in Physics, 1966
- Transport, Collective Motion, and Brownian MotionProgress of Theoretical Physics, 1965
- Ensemble Method in the Theory of IrreversibilityThe Journal of Chemical Physics, 1960
- Markoff Random Processes and the Statistical Mechanics of Time-Dependent PhenomenaThe Journal of Chemical Physics, 1952