Late stages of coarsening in model C

TL;DR

This paper investigates domain growth dynamics in model C systems, confirming theoretical growth exponents and discussing implications for related models, while also critiquing previous work on domain morphology.

Contribution

It provides a comprehensive analysis of non-critical domain growth in model C, confirming growth exponents and discussing implications for the microcanonical $$-model.

Findings

Confirmed growth exponent $z=3$ for quenches into coexistence region.

Confirmed theoretical growth exponent $z=2$ for quenches into ordered region.

Discussed implications for microcanonical $$-model and critiqued prior work.

Abstract

We present a comprehensive picture of (non-critical) domain growth in model C systems where a non-conserved scalar order parameter is coupled to a conserved concentration field. For quenches into the region where the ordered and disordered phases coexist, we confirm earlier partial numerical results and find a growth exponent $z=3$. For quenches into the ordered region, we confirm the theoretical prediction $z=2$. Finally we discuss the implications of our results for domain growth in the microcanonical $\phi^4$-model and we offer some criticism of the work of Somoza and Sagui on the morphology and wetting properties of domains.