Exact results for curvature-driven coarsening in two dimensions
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2007Tipo
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Abstract
We consider the statistics of the areas enclosed by domain boundaries (‘‘hulls’’) during the curvaturedriven 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 Nh (A, t)=2c/(A+λt) , demonstrating the validity of dynamical scaling in this system, where c=1/8π 3 is a universal constant. Domain areas (regions of aligned spins) h ...
We consider the statistics of the areas enclosed by domain boundaries (‘‘hulls’’) during the curvaturedriven 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 Nh (A, t)=2c/(A+λt) , demonstrating the validity of dynamical scaling in this system, where c=1/8π 3 is a universal constant. Domain areas (regions of aligned spins) have a similar distribution up to very large values of A/λt. Identical forms are obtained for coarsening from a critical initial state, but with c replaced by c/2. ...
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Physical Review Letters. Woodbury. Vol. 98, n. 14 (Apr. 2007), 145701, 4p.
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