Rodrigo Bissacot

We study the nearest neighbor Ising model with ferromagnetic interactions in the presence of a space dependent magnetic field of type 1/|x|^{α}. We prove that in dimensions d ≥ 2 for all β large enough if α > 1 there is a phase transition while if α < 1 there is a unique DLR state. Jointly with Marzio Cassandro (GSSI, L’Aquila), Errico Presutti (GSSI, L’Aquila) and Leandro Cioletti (Unb, Brazil). The paper is available in arxiv.

Location: PUC, Math Department, Sala 1