07/04/2021, 17:00 — 18:00 — Sala P3.10, Pavilhão de Matemática Online
Herbert Spohn, Technical University of Munich
Hydrodynamic equations for the classical Toda lattice
The Toda lattice is one of the most famous integrable system of classical mechanics. For N lattice sites there are $N+1$ conserved quantities. We are interested in the hydrodynamic scale, which means to start with suitably adjusted random initial data. In my talk I will outline the general structure and the resulting hydrodynamic Euler type equations. An unexpected connection to the repulsive log gas in one dimension is discussed.
