Growth Kinetics in the $\Phi ^6$ N-Component Model. Conserved Order Parameter

TL;DR

This paper investigates the growth kinetics of a large-N conserved order parameter model with a $\

Contribution

It extends the $\

Findings

Asymptotic structure factor forms are obtained for various parameters.

Multiscaling behavior is observed when stable equilibrium is reached.

The model exhibits metastable relaxation phenomena.

Abstract

We extend the discussion of the growth kinetics of the large-N time-dependent Ginzburg-Landau model with an order parameter described by a $\Phi^6$ free energy functional, to the conserved case. Quenches from a high temperature initial state to a zero temperature state are studied for different selections of parameters entering the effective potential. In all cases we obtain the asymptotic form of the structure factor. As expected in analogy with the well studied $\Phi^4$ model, we find multiscaling behavior whenever stable equilibrium is reached in the ordering region. On the other hand the present model also displays a novel feature, namely the occurrence of metastable relaxation.