Topological Defects
XY model • Vortices & anti-vortices • Kosterlitz-Thouless physics
Spin Field
MC Sweep
Auto-run
Reset (random)
Cool down
Colors = spin angle • + = vortex (red dot) • − = anti-vortex (blue dot)
Parameters
T (temp)
1.0
KT transition: T_KT ≈ 0.89 (J=1)
Below T_KT: vortex pairs bound → quasi-LRO
Above T_KT: pairs unbind → exponential decay
0
Vortices (+)
0
Anti-v (−)
0
⟨E⟩/site
0
|M|
Display Mode
Spin Arrows
Angle Color Map
Vorticity Density
Energy History
Vortex Count History
Add Defect
+ Vortex
+ Anti-v
Annihilate pair
Watch vortex-antivortex pairs interact