Join us for coffee and tea at 15.45 p.m.
Date: Thursday, February 9th 2012
Speaker: Giulio Iacobelli
Room: 5161.0267 (Bernoulliborg)
Potts model with invisible colours: first order phase transition and random-cluster representation
We study a variant of the ferromagnetic Potts model, recently introduced by Tamura, Tanaka and Kawashima, consisting of a ferromagnetic interaction among q ``visible'' colours along with the presence of r non-interacting ``invisible'' colours.We introduce a random-cluster representation for the model, for which we prove the existence of a first-order transition as long as q+r is large enough. The proof involves a contour argument applied to this random-cluster representation of the model.This is a joint work with Aernout van Enter and Siamak Taati.
are Prof.dr. A.C.D. van Enter (e-mail : A.C.D.van.Enter@rug.nl) and
Dr. A.V. Kiselev (e-mail: firstname.lastname@example.org)
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