Kinetics of Ferromagnetic Ordering in 3D Ising Model: Do we understand the case of zero temperature quench?

TL;DR

This paper investigates the phase ordering dynamics of the 3D Ising model after rapid quenches to zero temperature, revealing distinct behaviors compared to quenches above the roughening transition, with implications for understanding ferromagnetic ordering.

Contribution

It provides a comprehensive analysis of domain growth, persistence, aging, and pattern formation in the 3D Ising model at zero temperature, highlighting differences from higher temperature quenches.

Findings

Distinct domain growth and aging behaviors at zero temperature

Significant differences compared to quenches above the roughening transition

Absence of temperature-dependent behavior in 2D case

Abstract

We study phase ordering dynamics in the three-dimensional nearest-neighbor Ising model, following rapid quenches from infinite to zero temperature. Results on various aspects, viz., domain growth, persistence, aging and pattern, have been obtained via the Glauber Monte Carlo simulations of the model on simple cubic lattice. These are analyzed via state-of-the-art methods, including the finite-size scaling, and compared with those for quenches to a temperature above the roughening transition. Each of these properties exhibit remarkably different behavior at the above mentioned final temperatures. Such a temperature dependence is absent in the two-dimensional case for which there is no roughening transition.