
pmid: 16210186
We present a generalization of Zwanzig's method of projection operators to the case where the underlying dynamics is not deterministic. The method allows us to perform a coarse graining of an already coarse-grained level of description in which fluctuations are important. The initial level of description is described by a Fokker-Planck equation and, under suitable approximations, the final slower level of description is also described by a Fokker-Planck equation. We illustrate the method for the simple case of the diffusion of colloidal particles at two levels of descriptions.
Models, Statistical, collidal suspensions, Fokker-Planck equation, Models, Biological, Diffusion, Kinetics, Models, Chemical, Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics, coarse graining, Quantum Theory, Computer Simulation, Colloids, Particle Size, Rheology
Models, Statistical, collidal suspensions, Fokker-Planck equation, Models, Biological, Diffusion, Kinetics, Models, Chemical, Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics, coarse graining, Quantum Theory, Computer Simulation, Colloids, Particle Size, Rheology
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