Nonequilibrium critical relaxation in the presence of extended defects

TL;DR

This paper investigates how extended defects influence the nonequilibrium critical relaxation in systems, using a field-theoretic renormalization-group approach to analyze response functions and initial slip exponents.

Contribution

It introduces a detailed analysis of nonequilibrium critical relaxation in systems with correlated extended defects, calculating key exponents in a two-loop approximation.

Findings

Derived the scaling behavior of response and correlation functions.

Calculated initial slip exponents $ heta$ and $ heta^{\u2019}$ in two-loop approximation.

Provided insights into the effect of extended defects on critical dynamics.

Abstract

We study nonequilibrium critical relaxation properties of systems with quenched extended defects, correlated in $\epsilon_d$ dimensions and randomly distributed in the remaining $d-\epsilon_d$ dimensions. Using a field-theoretic renormalization-group approach, we find the scaling behavior of the nonequilibrium response and correlation functions and calculate the initial slip exponents $\theta$ and $\theta^{\prime}$, which describe the growth of correlations during the initial stage of the critical relaxation, in the two-loop approximation.