Seminar on Analysis, Geometry, and PDEs
Plats: This talk is given on Zoom. Email the organizer to receive an invitation.
Kontakt: eskil [dot] rydhe [at] math [dot] lu [dot] se
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Slow thermalisation in 1D and 2D lattices
Speaker: Matteo Gallone (Università degli studi di Milano, Milan, Italy)
Abstract: In the '50s Fermi, Pasta, Ulam and Tsingou simulated the dynamics of a nonlinear 1D lattice to measure the rate of "thermalisation". Surprisingly, the outcome of the simulations was showing a recurrent behaviour of the dynamics, thus being far from the expected thermal equilibrium. As pointed out first by Zabusky and Kruskal in the '60s, the recurrent behavior can be understood using the continuous limit of the lattice which consists in a pair of uncoupled Korteweg-de Vires equations. In this talk I will first give an overview of the problem, and then I will present in detail how to carry information from the continuous limit to the discrete system and how this scheme was applied for the first time on a two dimensional system in a recent joint work with S. Pasquali.
This talk is based on a joint work with S. Pasquali and a joint work with A. Ponno and B. Rink.