Kinetic Equations Governing Smoluchowski Dynamics in Equilibrium

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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35 pages

Scientific paper

We continue our study of the statistical properties of particles in equilibrium obeying Smoluchowski dynamics. We show that the system is governed by a kinetic equation of the memory function form. The kinetic part of the memory function is given by one of the self-energies available via perturbation theory introduced in previous work. The memory function is determined explicitly to second-order in an expansion in a pseudo-potential.

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