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Domain growth morphology in curvature-driven two-dimensional coarsening Alberto Sicilia,1
 

Summary: Domain growth morphology in curvature-driven two-dimensional coarsening
Alberto Sicilia,1
Jeferson J. Arenzon,2
Alan J. Bray,3
and Leticia F. Cugliandolo1
1
Université Pierre et Marie Curie--Paris VI, LPTHE UMR 7589, 4 Place Jussieu, 75252 Paris Cedex 05, France
2
Instituto de Física, Universidade Federal do Rio Grande do Sul, CP 15051, 91501-970 Porto Alegre RS, Brazil
3
School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom
Received 14 August 2007; published 17 December 2007
We study the distribution of domain areas, areas enclosed by domain boundaries "hulls" , and perimeters
for curvature-driven two-dimensional coarsening, employing a combination of exact analysis and numerical
studies, for various initial conditions. We show that the number of hulls per unit area, nh A,t dA, with enclosed
area in the interval A,A+dA , is described, for a disordered initial condition, by the scaling function
nh A,t =2ch/ A+ ht 2
, where ch=1/8 3 0.023 is a universal constant and h is a material parameter. For
a critical initial condition, the same form is obtained, with the same h but with ch replaced by ch/2. For the
distribution of domain areas, we argue that the corresponding scaling function has, for random initial condi-

  

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

 

Collections: Physics