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arXiv:1112.1736v1[cond-mat.dis-nn]8Dec2011 Geometrical properties of Potts model during the coarsening regime

Summary: arXiv:1112.1736v1[cond-mat.dis-nn]8Dec2011
Geometrical properties of Potts model during the coarsening regime
Marcos P. O. Loureiro,1
Jeferson J. Arenzon,2
and Leticia F. Cugliandolo1
Universit´e Pierre et Marie Curie ­ Paris VI,
LPTHE UMR 7589, 4 Place Jussieu, 75252 Paris Cedex 05, France
Instituto de F´isica and INCT Sistemas Complexos, Universidade Federal do Rio Grande do Sul,
CP 15051, 91501-970 Porto Alegre RS, Brazil
(Dated: December 9, 2011)
We study the dynamic evolution of geometric structures in a poly-degenerate system represented
by a q-state Potts model with non-conserved order parameter that is quenched from its disordered
into its ordered phase. The numerical results obtained with Monte Carlo simulations show a strong
relation between the statistical properties of hull perimeters in the initial state and during coarsening:
the statistics and morphology of the structures that are larger than the averaged ones are those of
the initial state while the ones of small structures are determined by the curvature driven dynamic
process. We link the hull properties to the ones of the areas they enclose. We analyze the linear
von-Neumann­Mullins law, both for individual domains and on the average, concluding that its


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


Collections: Physics