The stochastic process of equilibrium fluctuations, of a system with long range interactions
Statistical Mechanics
2009-11-10 v1
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.
Keywords
Cite
@article{arxiv.cond-mat/0305171,
title = {The stochastic process of equilibrium fluctuations, of a system with long range interactions},
author = {Freddy Bouchet},
journal= {arXiv preprint arXiv:cond-mat/0305171},
year = {2009}
}
Comments
4 pages; 2 figures