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Exact and asymtotic formulas for overdamped Brownian dynamics

P. J. Forrester·B. Jancovici
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Abstract

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.

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BibTeXRIS

P. J. Forrester, B. Jancovici. 1996-10-10. Exact and asymtotic formulas for overdamped Brownian dynamics. https://doi.org/10.1016/s0378-4371(96)00459-1

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