Curvature-driven coarsening in the two dimensional Potts model

TL;DR

This paper investigates how the geometric properties of polymixtures evolve after a temperature quench in the 2D Potts model, revealing the influence of initial correlations and super-universality during coarsening.

Contribution

It introduces a detailed analysis of hull enclosed area distributions in the Potts model, extending understanding of coarsening dynamics with and without disorder, and compares with existing results for the Ising case.

Findings

Memory of initial correlations affects coarsening behavior

Super-universality properties are observed in the evolution

Results align with recent exact and numerical findings for q=2

Abstract

We study the geometric properties of polymixtures after a sudden quench in temperature. We mimic these systems with the $q$-states Potts model on a square lattice with and without weak quenched disorder, and their evolution with Monte Carlo simulations with non-conserved order parameter. We analyze the distribution of hull enclosed areas for different initial conditions and compare our results with recent exact and numerical findings for $q=2$ (Ising) case. Our results demonstrate the memory of the presence or absence of long-range correlations in the initial state during the coarsening regime and exhibit super-universality properties.