no code implementations • 17 Dec 2020 • Marco Cicalese, Gianluca Orlando, Matthias Ruf
We find a fast rate of divergence of $N$ with respect to the lattice spacing for which the $N$-clock model has the same discrete-to-continuum variational limit of the $XY$ model, in particular concentrating energy on topological defects of dimension 0.
Mathematical Physics Analysis of PDEs Mathematical Physics 49J45, 49Q15, 26B30, 82B20
