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Anomalous time correlation in two-dimensional driven diffusive systems

Takenobu Nakamura·Michio Otsuki·Shin-ichi Sasa
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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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Takenobu Nakamura, Michio Otsuki, Shin-ichi Sasa. 2005-05-08. Anomalous time correlation in two-dimensional driven diffusive systems. https://doi.org/10.1103/physreve.71.061107

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