Topological Defect Coarsening
XY model defect dynamics — vortex-antivortex annihilation and coarsening laws
Controls
Temperature T
0.30
Coupling J
1.0
Grid size N
60
Speed
3
Reset (random)
Defects (vortex):
—
Step:
—
Coarsening: N_d ~ t^{-1}
BKT transition at T_c≈0.9J
Blue = +1/2 vortex
Red = -1/2 antivortex
Angle Field θ(x,y)
Defect Density N_d(t)