Nonequilibrium critical dynamics of the two-dimensional Ising model quenched from a correlated initial state

TL;DR

This paper investigates the nonequilibrium critical dynamics of the 2D Ising model after a sudden change in interactions, revealing that relaxation behaviors depend on the initial state's universality class.

Contribution

It introduces a study of nonequilibrium dynamics in the 2D Ising model with correlated initial states, highlighting the dependence of relaxation exponents on initial conditions.

Findings

Magnetization relaxation follows a power law with initial-state-dependent exponents.

Autocorrelation decay exhibits power law behavior influenced by initial state universality.

Critical dynamical properties vary with the initial interaction range and symmetry.

Abstract

The universality class, even the order of the transition, of the two-dimensional Ising model depends on the range and the symmetry of the interactions (Onsager model, Baxter-Wu model, Turban model, etc.), but the critical temperature is generally the same due to self-duality. Here we consider a sudden change in the form of the interaction and study the nonequilibrium critical dynamical properties of the nearest-neighbor model. The relaxation of the magnetization and the decay of the autocorrelation function are found to display a power law behavior with characteristic exponents that depend on the universality class of the initial state.