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SUMMARY:The Ising model and its phase diagram
DTSTART:20130422T171500
DTEND:20130422T180000
DTSTAMP:20260408T121056Z
UID:2340116b472e0e295ba838b3252c562b8b72f82ab8f9a10424a192e2
CATEGORIES:Conferences - Seminars
DESCRIPTION:Ludovic Pirl (EPFL)\nHamiltonian Dynamics Seminar\n	In this ta
 lk\, we will present the Ising Model. It's goal is to study the properties
  of an interacting system of spins taking value -1 or +1 on the grid Z^d.\
 n\n	We will construct probability measures (Gibbs measures) on A = {-1\,1}
 ^{Z^d}  as limit measures of measures on finite parts of A\, which will en
 crypt the information we want to have at hand\, namely: closest neighbour 
 interactions\, dependence on an exterior magnetic field and a given temper
 ature.\n\n	We will define magnetization and see how the existence of more 
 than one infinite dimensional Gibbs measure (a so-called first order trans
 ition) at a specific magnetic field and temperature corresponds to a disco
 ntinuity in the magnetization as a function of the magnetic field.\n\n	The
  goal will be to show a classification of all possible behaviours of the s
 ystem as a function of the magnetic field\, the temperature of the system\
 , and the dimension of the grid.
LOCATION:MA A3 30
STATUS:CONFIRMED
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