Exact and asymtotic formulas for overdamped Brownian dynamics

Дата и время публикации : 1996-10-10T09:15:09Z

Авторы публикации и институты :
P. J. Forrester
B. Jancovici

Ссылка на журнал-издание: Physica A 238 (1997) 405
Коментарии к cтатье: 18 pages,LaTex
Первичная категория: cond-mat.stat-mech

Все категории : cond-mat.stat-mech

Краткий обзор статьи: Exact and asymptotic formulas relating to dynamical correlations for overdamped Brownian motion are obtained. These formulas include a generalization of the $f$-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-$k$ 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.

Category: Physics