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

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

2003-05-08

arxiv.org/abs/cond-mat/0305171v1

Phys. Rev. E 70, 036113 (2004)

Physics

Condensed Matter

Statistical Mechanics

4 pages; 2 figures

Scientific paper

10.1103/PhysRevE.70.036113

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.

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