Anomalous time correlation in two-dimensional driven diffusive systems

Takenobu Nakamura; Michio Otsuki; Shin Ichi Sasa

doi:10.1103/PhysRevE.71.061107

Anomalous time correlation in two-dimensional driven diffusive systems

Takenobu Nakamura, Michio Otsuki, Shin Ichi Sasa

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Article number	061107
Journal	Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume	71
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevE.71.061107
Publication status	Published - 2005 Jun
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.71.061107

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title = "Anomalous time correlation in two-dimensional driven diffusive systems",

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.",

author = "Takenobu Nakamura and Michio Otsuki and Sasa, {Shin Ichi}",

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

Abstract

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