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Exact Results for Curvature-Driven Coarsening in Two Dimensions Jeferson J. Arenzon,1
 

Summary: Exact Results for Curvature-Driven Coarsening in Two Dimensions
Jeferson J. Arenzon,1
Alan J. Bray,2
Leticia F. Cugliandolo,3
and Alberto Sicilia3
1
Instituto de Fi´sica, Universidade Federal do Rio Grande do Sul, CP 15051, 91501-970 Porto Alegre RS, Brazil
2
School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom
3
Universite´ Pierre et Marie Curie-Paris VI, LPTHE UMR 7589, 4 Place Jussieu, 75252 Paris Cedex 05, France
(Received 16 August 2006; published 3 April 2007)
We consider the statistics of the areas enclosed by domain boundaries (``hulls'') during the curvature-
driven coarsening dynamics of a two-dimensional nonconserved scalar field from a disordered initial state.
We show that the number of hulls per unit area that enclose an area greater than A has, for large time t, the
scaling form NhA; t 2c=A t, demonstrating the validity of dynamical scaling in this system,
where c 1=8

3
p

  

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

 

Collections: Physics