Seminari del Dipartimento
Fisica Matematica Entropic repulsion in low temperature 2D Potts model and critical
pre-wetting in 2D Ising model. Sébastien Ott 26-03-2019 - 14:30 Largo San Leonardo Murialdo, 1 - Aula 311
Consider a Potts (or Ising) model in a square box of side N with boundary conditions 2 (-1 for Ising) on the lower side and 1 on the three others at low temperature. In this talk, I will present two problems about the interface generated by the boundary conditions. 1) convergence (under diffusive scaling) of the interface in the homogeneous Potts model to a Brownian excursion, 2) convergence (under suitable scaling) of the (bulk) Ising interface to a Ferrari-Spohn iffusion when a field of magnitude a/N is applied. I will start by introducing the two problems and then discuss the general strategy used in both proofs. |