The negligible contribution of internal structure in smaller domains to statistical quantities like area, wall length, and circulation is analytically justified by the dynamic scaling law in 2D Z2 coarsening.
Onuki, Phase Transition Dynamics (Cambridge University Press, Cambridge, 2002)
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On internal structure of smaller domains in domain coarsening dynamics of spontaneous Z_2-symmetry breaking in two dimensions
The negligible contribution of internal structure in smaller domains to statistical quantities like area, wall length, and circulation is analytically justified by the dynamic scaling law in 2D Z2 coarsening.