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Mathematical Physics Seminar

Giorgio Parisi - Chaos with Magnetic Field 

Location:  Zoom
Date & time: Wednesday, 06 December 2023 at 10:45AM - 11:45PM

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.