Vertex dynamics during domain growth in three-state models

TL;DR

This paper investigates the topological and geometrical evolution of interfaces during domain growth in three-state models, providing insights into the coarsening processes through quantitative analysis.

Contribution

It introduces a comparative statistical analysis of interface geometries in voter, Potts, and extended voter models to understand coarsening dynamics.

Findings

Distinct elementary processes influence coarsening in each model

Quantitative geometrical features reveal differences in interface evolution

Topological analysis clarifies the role of model-specific dynamics

Abstract

Topological aspects of interfaces are studied by comparing quantitatively the evolving three-color patterns in three different models, such as the three-state voter, Potts and extended voter models. The statistical analysis of some geometrical features allows to explore the role of different elementary processes during distinct coarsening phenomena in the above models.