Spacetime Correlations of the Classical Toda Chain in Thermal Equilibrium

Explore spacetime correlations of the classical Toda chain in thermal equilibrium through this comprehensive lecture by Herbert Spohn. Delve into the world of integrable many-body systems and their expected ballistic scaling of equilibrium spacetime correlations with smooth shape functions. Examine novel results for the classical Toda lattice, including correlations obtained through molecular dynamics simulations across various equilibrium parameters. Compare these findings with predictions from the Landau-Lifshitz theory based on generalized hydrodynamics. Gain insights into the Workshop on box-ball systems from integrable systems and probabilistic perspectives, held at the Centre de recherches mathématiques (CRM) in September 2022.