Codina Cotar (University College of London)

It is a famous result of statistical mechanics that, at low enough temperature, the random field Ising model is disorder relevant for d<=2, i.e. the phase transition between uniqueness/non-uniqueness of Gibbs measures disappears,  and disorder irrelevant otherwise (Aizenman-Wehr 1990). Generally speaking, adding disorder to a model tends to destroy the non-uniqueness of Gibbs measures.
In this talk we consider – in non-convex potential regime – a random gradient
model with disorder in which the interface feels like a bulk term of random fields. We show that this model is disorder relevant with respect to the question of uniqueness of gradient Gibbs measures for a  class of non-convex potentials and a disorders.
No previous knowledge of gradient models will be assumed in the talk
Departamento de Matemáticas

Pontificia Universidad Católica de Chile (PUC-Chile)

Av. Vicuña Mackenna 4860, Macul,

Santiago – Chile

(+56 2) 2354 5779

Centro de Modelamiento Matemático (CMM)

Facultad de Ciencias Físicas y Matemáticas (FCFM)

Universidad de Chile

Beauchef 851, Edificio Norte, Piso 7,

Santiago – Chile