Short-time critical dynamics of the three-dimensional systems with long-range correlated disorder

TL;DR

This paper investigates the short-time critical dynamics of 3D Ising and XY models with long-range correlated disorder, using Monte Carlo simulations to determine critical exponents and validate theoretical predictions.

Contribution

It provides new Monte Carlo simulation results for critical exponents in 3D disordered systems, confirming field-theoretic predictions and extending understanding of short-time dynamics.

Findings

Critical exponents agree with two-loop field theory

Static and dynamic exponents determined for different initial states

Results align with previous equilibrium Monte Carlo studies

Abstract

Monte Carlo simulations of the short-time dynamic behavior are reported for three-dimensional Ising and XY models with long-range correlated disorder at criticality, in the case corresponding to linear defects. The static and dynamic critical exponents are determined for systems starting separately from ordered and disordered initial states. The obtained values of the exponents are in a good agreement with results of the field-theoretic description of the critical behavior of these models in the two-loop approximation and with our results of Monte Carlo simulations of three-dimensional Ising model in equilibrium state.