Event Type:

Probability Seminar

Date/Time:

Tuesday, November 25, 2014 - 16:00 to 17:00

Location:

Kidder 356

Guest Speaker:

Institution:

University of Sao Paulo, Brazil

Abstract:

We show the presence of a first-order phase transition for a ferromagnetic Ising model on integer 2 dimensional lattice with a periodical external magnetic field. The external field takes two values *h* and *-h*, where *h>0*. The sites associated with positive and negative values of external field form a chessboard configuration with rectangular cells of sides L_{1}xL_{2} sites. The phase transition holds if *h* is small enough. We prove a first-order phase transition using reflection positivity (RP) method. We apply a key inequality which is usually referred to as the chessboard estimate. This is a joint work with E. Pechersky and M. Gonzalez, my PhD student.