Curvature-driven coarsening in the two dimensional Potts model

Details Curvature-driven coarsening in the two dimensional Potts model Curvature-driven coarsening in the two dimensional Potts model

2009-12-16

arxiv.org/abs/0912.3166v1

Phys. Rev. E 81, 021129 (2010)

Physics

Condensed Matter

Statistical Mechanics

12 pages, 16 figures

Scientific paper

10.1103/PhysRevE.81.021129

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.

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