Colloquium Mathematical Physics

Triangular plaquette model

by Ivailo Hartarsky (Lyon)

Europe/Berlin
H15 (UHG)

H15

UHG

Description
Consider the following plaquette model from statistical physics: a lamp lies at everyvertex of the triangular lattice and a switch lies at every even vertex of the (bipartite) dual hexagonal lattice. Each switch toggles the three lamps on its face. The energy of a configuration is the number of ON lamps. We study the relaxation time of the associated Glauber dynamics, proving its conjectured super-Arrhenius scaling at low temperature. We also reveal highly unusual behaviour in finite volume around the critical length scale. The talk is based on joint work with Laurent Bartholdi and Ivan Mitrofanov.