Exact and asymptotic formulas for overdamped Brownian dynamics

P.J. Forrester and B. Jancovici

Physica A: Statistical Mechanics and its Applications, 1997, vol. 238, issue 1, 405-424

Abstract: Exact and asymptotic formulas relating to dynamical correlations for over-damped 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.

Date: 1997
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:238:y:1997:i:1:p:405-424

DOI: 10.1016/S0378-4371(96)00459-1

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