Giorgio Parisi – Università di Roma ``La Sapienza"
Wednesday, December 6th, 10:45AM EST (Zoom meeting starts at 10:30 EDT)
Chaos with Magnetic Field
I will study the property of Chaos with Magnetic Field in spin glasses. I will report the results for Spin Glasses on Random Regular Graphs and 4D lattices; I will compare the simulation with analytic predictions obtained generating random trees according to the Replica Symmetry Breaking theory. I will show that using the Overalp Probability function $P(q)$ as input one can quantitatively predict the degree of decorrelation as the field increases. One can also compute the finite volume effects in the magnetization and the susceptibility as a function of the field. The analytic computation can be done using the Ruelle cascade or the Bolthausen-Snitmann coalescent. A comparison of the methods is described