English

Anomalous time correlation in two-dimensional driven diffusive systems

Statistical Mechanics 2009-03-02 v2

Abstract

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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Cite

@article{arxiv.cond-mat/0410386,
  title  = {Anomalous time correlation in two-dimensional driven diffusive systems},
  author = {Takenobu Nakamura and Michio Otsuki and Shin-ichi Sasa},
  journal= {arXiv preprint arXiv:cond-mat/0410386},
  year   = {2009}
}

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6 pages