Phase-ordering of conserved vectorial systems with field-dependent mobility

TL;DR

This paper investigates phase separation dynamics in conserved vector systems with field-dependent mobility, revealing a new universality class with a distinct growth law and dynamical exponent for a specific mobility parameter value.

Contribution

It introduces a novel universality class for conserved vector systems with field-dependent mobility and characterizes its unique growth law and dynamical exponent.

Findings

Existence of a new universality class at a=1

Growth law L(t) ~ t^{1/6} for the new class

Standard growth law L(t) ~ t^{1/4} for a<1

Abstract

The dynamics of phase-separation in conserved systems with an O(N) continuous symmetry is investigated in the presence of an order parameter dependent mobility M(\phi)=1-a \phi^2. The model is studied analytically in the framework of the large-N approximation and by numerical simulations of the N=2, N=3 and N=4 cases in d=2, for both critical and off-critical quenches. We show the existence of a new universality class for a=1 characterized by a growth law of the typical length L(t) ~ t^{1/z} with dynamical exponent z=6 as opposed to the usual value z=4 which is recovered for a<1.