3 research outputs found
Stochastic model for the dynamics of interacting Brownian particles
Using the scheme of mesoscopic nonequilibrium thermodynamics, we construct
the one- and two- particle Fokker-Planck equations for a system of interacting
Brownian particles. By means of these equations we derive the corresponding
balance equations. We obtain expressions for the heat flux and the pressure
tensor which enable one to describe the kinetic and potential energy
interchange of the particles with the heat bath. Through the momentum balance
we analyze in particular the diffusion regime to obtain the collective
diffusion coefficient in terms of the hydrodynamic and the effective forces
acting on the Brownian particles.Comment: latex fil