Anomalous time correlation in two-dimensional driven diffusive systems

TL;DR

This paper investigates how time correlation functions in two-dimensional driven diffusive systems exhibit power-law behavior when the fluctuation-dissipation relation is violated, using renormalization group techniques.

Contribution

It introduces a renormalization group approach to analyze the impact of fluctuation-dissipation violation on time correlations in driven diffusive systems.

Findings

Power-law decay in time correlation functions observed.

Exponent of power-law depends on the degree of fluctuation-dissipation violation.

Logarithmic divergence in time addressed via renormalization group.

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.