Anomalous time correlation in two-dimensional driven diffusive systems.
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.
Nakamura
Takenobu
T
Department of Pure and Applied Sciences, University of Tokyo, Komaba, Tokyo 153-8902, Japan. soushin@jiro.c.u-tokyo.ac.jp
Otsuki
Michio
M
Sasa
Shin-ichi
S