Scaling violations with textures in two-dimensional phase ordering.

Scaling violations are found in the phase-ordering two-dimensional Heisenberg [O(3)] model, which has nonsingular topological textures, under dissipative nonconserved dynamics. Three separate length scales are found: ${\mathit{L}}_{\mathit{T}}$ characterizes the scale of individual textures, ${\mathit{L}}_{\mathit{N}}$ characterizes the separation between textures, and ${\mathit{L}}_{\mathit{C}}$ characterizes the distance between oppositely charged textures.