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 N h ( A , t ) = 2 c / ( A + λ t ) , where c = 1 8 π 3 . 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.
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More From: Physica A: Statistical Mechanics and its Applications
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