Exact and asymtotic formulas for overdamped Brownian dynamics
Statistical Mechanics
2015-06-25 v1
Abstract
Exact and asymptotic formulas relating to dynamical correlations for overdamped Brownian motion are obtained. These formulas include a generalization of the -sum rule from the theory of quantum fluids, a formula relating the static current-current correlation to the static density-density correlation, and an asymptotic formula for the small- behaviour of the dynamical structure factor. Known exact evaluations of the dynamical density-density correlation in some special models are used to illustrate and test the formulas.
Cite
@article{arxiv.cond-mat/9610085,
title = {Exact and asymtotic formulas for overdamped Brownian dynamics},
author = {P. J. Forrester and B. Jancovici},
journal= {arXiv preprint arXiv:cond-mat/9610085},
year = {2015}
}
Comments
18 pages,LaTex