Dynamical properties of the Landau-Ginzburg model with long-range correlated quenched impurities

TL;DR

This paper studies how long-range correlated impurities influence the critical dynamics of the Landau-Ginzburg model, revealing significant corrections to the dynamical critical exponent using a double expansion method.

Contribution

It introduces a detailed analysis of the Landau-Ginzburg model with long-range correlated quenched impurities, calculating the critical exponent z up to second order in a double expansion.

Findings

Impurities affect critical dynamics at first order in small parameters.

Long-range correlations lead to relevant corrections to the mean field exponent z.

The study extends understanding of disorder effects in critical phenomena.

Abstract

We investigate the critical dynamics of the time-dependent Landau-Ginzburg model with non conserved n-component order parameter (Model A) in the presence of long-range correlated quenched impurities. We use a special kind of long-range correlations, previously introduced by Weinrib and Halperin. Using a double expansion in \epsilon and \delta we calculate the critical exponent z up to second order on the small parameters. We show that the quenched impurities of this kind affect the critical dynamics already in first order of \epsilon and \delta, leading to a relevant correction for the mean field value of the exponent z