Scaling Violations with Textures in Two-Dimensional Phase-Ordering

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.

4 pages, 3 postscript figures (1 appended, the other two are 2 MEG each and will be emailed on request). Hard-copies are also available on request ([email protected]).

References in corpus (3)

• Theory of Phase Ordering Kinetics
• Skyrmions and Semilocal Strings in Cosmology
• Theory of Coexisting Transverse Spin Freezing and Long-Ranged Antiferromagnetic Order in Lightly Doped La_{2-x}Sr_x CuO_4

Cited by in corpus (12)

• Spatial organization in cyclic Lotka-Volterra systems
• The Energy-Scaling Approach to Phase-Ordering Growth Laws
• Far-from-equilibrium universality in the two-dimensional Heisenberg model
• Unwinding Scaling Violations in Phase Ordering
• Dynamical Scaling In Two Dimensional Quenched Uniaxial Nematic Liquid Crystals
• Unraveling critical dynamics: The formation and evolution of topological textures
• Dynamical Multiscaling in Quenched Skyrme Systems
• The Chiral Phase Transition in Dissipative Dynamics
• Far-from-equilibrium universality in two-dimensional Heisenberg antiferromagnets
• Features of phase ordering in (2+1)D-O(3) models
• DCC Dynamics in (2+1)D-O(3) model
• Structure-Factor Tail for the Ordering Kinetics of Nonconserved Fields without Topological Defects