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

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  • Sicilia, Alberto

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.

Suggested Citation

  • Sicilia, Alberto, 2007. "Domain and hull-enclosed area distributions in two-dimensional coarsening," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(2), pages 674-677.
    • Handle: RePEc:eee:phsmap:v:386:y:2007:i:2:p:674-677
    DOI: 10.1016/j.physa.2007.07.047
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