Initial Correlation Dependence of Aging in Phase Separating Solid Binary Mixtures and Ordering Ferromagnets

TL;DR

This study investigates aging phenomena in phase separating binary mixtures and ferromagnets, analyzing how initial spatial correlations influence the decay of order-parameter autocorrelations through Monte Carlo simulations.

Contribution

It compares aging behaviors in phase separating mixtures and ferromagnets with correlated initial states, using advanced analysis methods and simulations.

Findings

Correlated initial states affect autocorrelation decay rates.

Differences observed between phase separation and ferromagnetic ordering.

Initial structure influences aging dynamics significantly.

Abstract

Following quenches of initial configurations having long range spatial correlations, prepared at the demixing critical point, to points inside the miscibility gap, we study aging phenomena in solid binary mixtures. Results on the decay of the two-time order-parameter autocorrelation functions, obtained from Monte Carlo simulations of the two-dimensional Ising model, with Kawasaki exchange kinetics, are analyzed via state-of-the art methods. The outcome is compared with that obtained for the ordering in uniaxial ferromagnets. For the latter, we have performed Monte Carlo simulations of the same model using the Glauber mechanism. For both types of systems we provide comparative discussion of our results with reference to those concerning quenches with configurations having no spatial correlation. We also discuss the role of structure on the decay of these correlations.