Power law tails of time correlations in a mesoscopic fluid model

Details Power law tails of time correlations in a mesoscopic fluid model Power law tails of time correlations in a mesoscopic fluid model

2005-02-14

arxiv.org/abs/cond-mat/0502331v1

Physical Review E 72, 011101 (2005)

Physics

Condensed Matter

Statistical Mechanics

11 pages, 12 figures

Scientific paper

10.1103/PhysRevE.72.011101

In a quenched mesoscopic fluid, modelling transport processes at high densities, we perform computer simulations of the single particle energy autocorrelation function C_e(t), which is essentially a return probability. This is done to test the predictions for power law tails, obtained from mode coupling theory. We study both off and on-lattice systems in one- and two-dimensions. The predicted long time tail ~ t^{-d/2} is in excellent agreement with the results of computer simulations. We also account for finite size effects, such that smaller systems are fully covered by the present theory as well.

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