Universal power law tails of time correlation functions

Details Universal power law tails of time correlation functions Universal power law tails of time correlation functions

2005-01-26

arxiv.org/abs/cond-mat/0501638v2

Physics

Condensed Matter

Statistical Mechanics

10 pages, 0 figures, Revised version: old Eqs(7)-(8) are replaced by new Eqs (7)-(10), based on renormalization of the fluctua

Scientific paper

10.1103/PhysRevE.71.030101

The universal power law tails of single particle and multi-particle time correlation functions are derived from a unifying point of view, solely using the hydrodynamic modes of the system. The theory applies to general correlation functions, and to systems more general than classical fluids. Moreover it is argued that the collisional transfer part of the stress-stress correlation function in dense classical fluids has the same long time tail $\sim t^{-1-d/2}$ as the velocity autocorrelation function in Lorentz gases.

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