Domain and hull-enclosed area distributions in two-dimensional coarsening

Alberto Sicilia

Physica A: Statistical Mechanics and its Applications, 2007, vol. 386, issue 2, 674-677

Abstract: We obtain the exact distribution of the areas enclosed by domain boundaries (“hulls”) during the coarsening dynamics of a two-dimensional nonconserved scalar field. We prove that the number of hulls per unit area that enclose an area greater than A has the form Nh(A,t)=2c/(A+λt), where c=18π3. This result is also a demonstration of the validity of the dynamical scaling hypothesis in this system. We also show that domain areas (regions of aligned spins) have a similar distribution.

Keywords: Coarsening dynamics; Hull-enclosed areas; Domain areas (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:386:y:2007:i:2:p:674-677

DOI: 10.1016/j.physa.2007.07.047

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