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Geometry of phase separation Alberto Sicilia,1

Summary: Geometry of phase separation
Alberto Sicilia,1
Yoann Sarrazin,1
Jeferson J. Arenzon,2
Alan J. Bray,3
and Leticia F. Cugliandolo1
Université Pierre et Marie Curie­Paris VI, LPTHE UMR 7589, 4 Place Jussieu, 75252 Paris Cedex 05, France
Instituto de Física and INCT-Sistemas Complexos, Universidade Federal do Rio Grande do Sul, CP 15051,
91501-970 Porto Alegre, RS, Brazil
School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom
Received 20 March 2009; published 16 September 2009
We study the domain geometry during spinodal decomposition of a 50:50 binary mixture in two dimensions.
Extending arguments developed to treat nonconserved coarsening, we obtain approximate analytic results for
the distribution of domain areas and perimeters during the dynamics. The main approximation is to regard the
interfaces separating domains as moving independently. While this is true in the nonconserved case, it is not in
the conserved one. Our results can therefore be considered as a "first-order" approximation for the distribu-
tions. In contrast to the celebrated Lifshitz-Slyozov-Wagner distribution of structures of the minority phase in


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


Collections: Physics