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

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 εand δwe 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 εand δ, leading to a relevant correction for the mean field value of the exponent z

7 pages, REVTEX, to be published in Phys. Rev. B

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