Non-equilibrium critical relaxation of the 3D Heisenberg magnets with long-range correlated disorder

TL;DR

This paper investigates the short-time dynamic critical behavior of 3D Heisenberg magnets with long-range correlated disorder, using Monte Carlo simulations to determine critical exponents at the phase transition.

Contribution

It provides new Monte Carlo simulation data for the critical exponents of 3D Heisenberg models with linear defect disorder, aligning with field-theoretic predictions.

Findings

Critical exponents are accurately determined.

Results agree with two-loop field-theoretic calculations.

Provides insights into non-equilibrium relaxation in disordered magnets.

Abstract

Monte Carlo simulations of the short-time dynamic behavior are reported for three-dimensional Heisenberg model 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 from an ordered initial state. The obtained values of the exponents are in a good agreement with results of the field-theoretic description of the critical behavior of this model in the two-loop approximation.