Mean-Field Approximation for Spacing Distribution Functions in Classical Systems
Statistical Mechanics
2015-01-12 v1
Abstract
We propose a mean-field method to calculate approximately the spacing distribution functions in 1D classical many-particle systems. We compare our method with two other commonly used methods, the independent interval approximation (IIA) and the extended Wigner surmise (EWS). In our mean-field approach, is calculated from a set Langevin equations which are decoupled by using a mean-field approximation. We found that in spite of its simplicity, the mean-field approximation provides good results in several systems. We offer many examples in which the three methods mentioned previously give a reasonable description of the statistical behavior of the system. The physical interpretation of each method is also discussed.
Keywords
Cite
@article{arxiv.1111.5212,
title = {Mean-Field Approximation for Spacing Distribution Functions in Classical Systems},
author = {Diego Luis González and Alberto Pimpinelli and T. L. Einstein},
journal= {arXiv preprint arXiv:1111.5212},
year = {2015}
}