The Fermi-Pasta-Ulam problem and its underlying integrable dynamics

by Giancarlo Benettin (Università di Padova)

Wednesday 28 Apr 2021, 14:30 → 16:00 Europe/Rome

In 1954 Fermi, Pasta and Ulam for the first time used a
computer to study the ergodic behavior of a system with many degrees
of freedom, aiming to investigate the foundations of Statistical
Mechanics. Several branches of physical and mathematical
investigations started from that paper. The aim of the talk is to
shortly review some main contributions to the problem and then
revisit, in the light of some recent numerical results, one of the
leading ideas, namely that the model should be understood as a
perturbation of the Toda model, well known in Statistical Mechanics,
which is nonlinear but integrable. The behavior at the thermodynamic
limit turns out to be particularly delicate.

Link per il collegamento: https://meet.google.com/pip-kvzt-fkz