Projection operators in classical kinetic theory |
| |
Authors: | Peter Gray |
| |
Institution: | School of Mathematics and Physics, University of East Anglia , Norwich, NOR 88C |
| |
Abstract: | Zwanzig's projected kinetic equation is rederived by a perturbation method. A choice of projection is proposed which, in conjunction with appropriate initial-value conditions, yields kinetic equations for the two time distribution functions of phase subsets for a system in equilibrium. These equations are generalizations of the Fokker-Planck equations in which the dissipative terms are non-Markoffian. It is shown that exact equations for the van Hove self and distinct correlation functions are particular cases of these equations. |
| |
Keywords: | |
|
|