The stochastic process of equilibrium fluctuations, of a system with long range interactions

Abstract

The relaxation towards equilibrium of systems with long range interactions is not yet fully understood. As a step towards such a comprehension, we propose the study of the dynamical equilibrium fluctuations in a model system with long range interaction. We compute analytically, from the microscopic dynamics, the autocorrelation function of the order parameter. From this result, we derive analytically a Fokker Planck equation which describes the stochastic process of the impulsion of a single particle in an equilibrium bath. The diffusion coefficient is explicitly computed.

4 pages; 2 figures

References in corpus (2)

• Dynamics of a Massive Piston in an Ideal Gas: Oscillatory Motion and Approach to Equilibrium
• Scaling Dynamics of a Massive Piston in a Cube Filled With Ideal Gas: Exact Results

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