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Scaling Violations with Textures in Two-Dimensional Phase-Ordering

A. D. Rutenberg
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Abstract

Scaling violations are found in the phase-ordering two-dimensional Heisenberg [$O(3)$] model, which has non-singular topological textures, under dissipative non-conserved dynamics. Three separate length-scales are found: $L_T$ characterizes the scale of individual textures, $L_N$ characterizes the separation between textures, and $L_C$ characterizes the distance between oppositely charged textures.

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A. D. Rutenberg. 1995-01-17. Scaling Violations with Textures in Two-Dimensional Phase-Ordering. https://doi.org/10.1103/physreve.51.r2715

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