Preasymptotic multiscaling in the phase-ordering dynamics of the kinetic Ising model

TL;DR

This paper investigates the early-stage multiscaling behavior in the phase-ordering dynamics of the kinetic Ising model with conserved order parameter, highlighting a crossover to standard scaling.

Contribution

It identifies a preasymptotic multiscaling regime in the kinetic Ising model, extending understanding of phase-ordering dynamics beyond previous models.

Findings

Discovery of a preasymptotic multiscaling regime

Crossover from multiscaling to standard scaling

Independence of crossover from microscopic dynamics

Abstract

The evolution of the structure factor is studied during the phase-ordering dynamics of the kinetic Ising model with conserved order parameter. A preasymptotic multiscaling regime is found as in the solution of the Cahn-Hilliard-Cook equation, revealing that the late stage of phase-ordering is always approached through a crossover from multiscaling to standard scaling, independently from the nature of the microscopic dynamics.