Vortex Dynamics in a Coarsening Two Dimensional XY Model

Abstract

The vortex velocity distribution function for a 2-dimensional coarsening non-conserved O(2) time-dependent Ginzburg-Landau model is determined numerically and compared to theoretical predictions. In agreement with these predictions the distribution function scales with the average vortex speed which is inversely proportional to t^x, where t is the time after the quench and x is near to 1/2. We find the entire curve, including a large speed algebraic tail, in good agreement with the theory.

4 pages, 5 figures

References in corpus (4)

• Theory of Phase Ordering Kinetics
• The Energy-Scaling Approach to Phase-Ordering Growth Laws
• Velocity Distribution of Topological Defects in Phase-Ordering Systems
• Velocity Distribution for Strings in Phase Ordering Kinetics

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• Phase ordering, topological defects, and turbulence in the 3D incompressible Toner-Tu equation
• Coarsening Kinetics of a Two Dimensional O(2) Ginzburg-Landau Model: Effect of Reversible Mode Coupling
• The Vortex Kinetics of Conserved and Non-conserved O(n) Models
• On the Possibility of Quasi Small-World Nanomaterials
• Vortex Velocity Probability Distributions in Phase Ordering Kinetics