Anomalous time correlation in two-dimensional driven diffusive systems

Details Anomalous time correlation in two-dimensional driven diffusive systems Anomalous time correlation in two-dimensional driven diffusive systems

2004-10-15

arxiv.org/abs/cond-mat/0410386v2

Phys. Rev. E 71, 061107 (2005)

Physics

Condensed Matter

Statistical Mechanics

6 pages

Scientific paper

10.1103/PhysRevE.71.061107

We study the time correlation function of a density field in two-dimensional driven diffusive systems within the framework of fluctuating hydrodynamics. It is found that the time correlation exhibits power-law behavior in an intermediate time regime in the case that the fluctuation-dissipation relation is violated and that the power-law exponent depends on the extent of this violation. We obtain this result by employing a renormalization group method to treat a logarithmic divergence in time.

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