Early stage scaling in phase ordering kinetics

TL;DR

This paper investigates the early and long-term scaling behaviors in phase ordering kinetics of systems with scalar order parameters, using numerical simulations of the Ginzburg-Landau equation to reveal complex crossover phenomena.

Contribution

It provides a detailed numerical analysis of early and asymptotic scaling regimes and their crossover in phase ordering dynamics with conserved and non-conserved order parameters.

Findings

Identification of multiple scaling regimes separated by a crossover

Demonstration of the influence of quench parameters on dynamical behavior

Interpretation of dynamics as competition among fixed points

Abstract

A global analysis of the scaling behaviour of a system with a scalar order parameter quenched to zero temperature is obtained by numerical simulation of the Ginzburg-Landau equation with conserved and non conserved order parameter. A rich structure emerges, characterized by early and asymptotic scaling regimes, separated by a crossover. The interplay among different dynamical behaviours is investigated by varying the parameters of the quench and can be interpreted as due to the competition of different dynamical fixed points.