Diffusive Domain Coarsening : Early Time Dynamics and Finite-Size Effects

TL;DR

This study investigates the early-time dynamics and finite-size effects in diffusive phase separation of binary mixtures using Monte Carlo simulations, revealing minimal size effects and small corrections to the growth law.

Contribution

It applies finite-size scaling to simulation data to analyze size effects and correction to scaling in phase separation kinetics, providing insights for fluid and material science.

Findings

Weak size effects observed in simulations

Small corrections to the growth law identified

Finite-size scaling effectively analyzes phase separation dynamics

Abstract

We study diffusive dynamics of phase separation in a binary mixture, following critical quench, both in spatial dimensions $d=2$ and $d=3$. Particular focus in this work is to obtain information about effects of system size and correction to the growth law via appropriate application of finite-size scaling method to the results obtained from Kawasaki exchange Monte Carlo simulation of Ising model. Observations of only weak size effects and very small correction to scaling in the growth law are significant. The methods used in this work and information thus gathered will be of paramount importance in the study of kinetics of phase separation in fluids and other problems of growing length scale. We also provide detailed discussion on standard methods of understanding simulation results which may lead to inappropriate conclusions.