Vortex Velocity Pair Correlations

Abstract

The vortex velocity probability distribution for two distinct vortices is determined for the case of phase-ordering kinetics in systems with point defects. The n-vector model driven by time-dependent Ginzburg-Landau dynamics for a nonconserved order parameter is considered. The description includes the effects of other vortices and order parameter fluctuations. At short distances the most probable configuration is that a vortex-antivortex pair have only a nonzero relative velocity which is inversely proportional to the distance between them. The coefficient of proportionality is determined explicitly.

51 pages, 4 figures

References in corpus (1)

• Vortex annihilation in the ordering kinetics of the O(2) model

Cited by in corpus (4)

• Perturbation Expansion in Phase-Ordering Kinetics: I. Scalar Order Parameter
• Velocity Distribution for Strings in Phase Ordering Kinetics
• Defect Statistics in the Two Dimensional Complex Ginsburg-Landau Model
• The Vortex Kinetics of Conserved and Non-conserved O(n) Models