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Curvature-driven coarsening in the two-dimensional Potts model Marcos P. O. Loureiro and Jeferson J. Arenzon
 

Summary: Curvature-driven coarsening in the two-dimensional Potts model
Marcos P. O. Loureiro and Jeferson J. Arenzon
Instituto de Física and INCT Sistemas Complexos, Universidade Federal do Rio Grande do Sul, CP 15051,
91501-970 Porto Alegre, RS, Brazil
Leticia F. Cugliandolo
Université Pierre et Marie Curie­Paris VI, LPTHE UMR 7589, 4 Place Jussieu, 75252 Paris Cedex 05, France
Alberto Sicilia
Department of Chemistry, University of Cambridge, Lensfield Road, CB2 1EW Cambridge, United Kingdom
Received 24 December 2009; published 24 February 2010
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 nonconserved 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 superuniversality properties.
DOI: 10.1103/PhysRevE.81.021129 PACS number s : 64.60.Cn
I. INTRODUCTION
Domains formed during the evolution of mixtures are of
both theoretical and technological importance, applications
including foams 1 , cellular tissues 2 , superconductors 3 ,

  

Source: Arenzon, Jeferson J. - Instituto de Física, Universidade Federal do Rio Grande do Sul

 

Collections: Physics