Curvature-driven coarsening in the two dimensional Potts model
Statistical Mechanics
2010-03-01 v1 Disordered Systems and Neural Networks
Abstract
We study the geometric properties of polymixtures after a sudden quench in temperature. We mimic these systems with the -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 (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.
Cite
@article{arxiv.0912.3166,
title = {Curvature-driven coarsening in the two dimensional Potts model},
author = {Marcos P. O. Loureiro and Jeferson J. Arenzon and Leticia F. Cugliandolo and Alberto Sicilia},
journal= {arXiv preprint arXiv:0912.3166},
year = {2010}
}
Comments
12 pages, 16 figures