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it T fps
3D XY model simulations on 64x64x64 lattice with periodic boundaries. You can see vortex threads dynamics. Spins are shown on the bottom plane only.
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Exitations in 3D XY model. Vortex threads and rings

On a 3D lattice vortex is represented by an arrow. Its direction is determined by the right-hand screw rule when an elementary placket is traced (moving in the direction of phase growth). These arrows make vortex threads and rings. Opposite sides of a ring are attracted (similar to a vortex - antivortex pair), therefore for low T it collapses and annihilates.
Vortex thread Vortex threads
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updated 14 Nov 2015