All apps
XY model: vortices and the BKT transition
About this app
Live Monte Carlo of the planar XY model: vortex pairs unbind at T_BKT ≈ 0.893, and exactly there correlations decay like r^(−1/4) (openai/math, family 216).
Subject: Open problems, solved by AI
More from Open problems, solved by AI
- Anderson localisation: 2D vs. 3D (3D)
- Barnette's conjecture: a round trip over every polyhedron (3D)
- Cardy's formula — percolation in a random tiling
- The plane is not five-colourable (Hadwiger–Nelson)
- Triangular billiards — irrational angles mix (3D)
- Triangular lattice — universal optimality
- First-passage percolation
- Gaussian moat — no path to infinity
A VisuApp by heyprof: interactive, free in your browser, no sign-up. What is a VisuApp? · All apps