Random Interactions

The Generalized Gibbs Ensemble description of a Hamiltonian disordered model (Lecture 2)

by Prof. Leticia F. Cugliandolo (Laboratoire de Physique Théorique et Hautes Energies, Sorbonne Université Institut Universitaire de France)

Thursday, December 15, 2022 from to (Asia/Kolkata)
at A 304 and on Zoom : https://zoom.us/j/96774944282?pwd=bDRTQWZiVUdTc1pQVkdWcldpK0hjdz09 Meeting ID: 967 7494 4282 Passcode: 176623
In these two blackboard lectures, I will present the statistical physics description of an integrable interacting model in its thermodynamic limit. 

In the field of disordered systems, the problem we will be dealing with is the Hamiltonian spherical (p=2) Sherrington-Kirkpatick model. Intriguingly, in this Hamiltonian setting, the disordered model is just an extension of the Neumann integrable model of classical mechanics.

Questions such as which is the dynamic phase diagram, whether the dynamics approach a steady state, and whether the time-averaged observables satisfy an ergodic description within a Generalised Gibbs Ensemble will be discussed in detail.