Generalised Hydrodynamics for Classical Particle Systems

Explore the framework of generalised hydrodynamics (GHD) for classical particle systems in this 59-minute lecture by Benjamin Doyon at the Centre de recherches mathématiques (CRM). Delve into the mapping to asymptotic coordinates via "real-space Bethe ansatz equations," which naturally leads to both the generalized thermodynamics and hydrodynamics of integrable systems, particularly relevant in box-ball, Toda, and similar systems. Discover a new, elementary derivation of the thermodynamics of the Toda system. Learn how these concepts contribute to deriving GHD equations for the quantum Lieb-Liniger model. Gain insights into exact predictions provided by the GHD framework, including large-scale correlation functions and diffusive corrections. Part of the Workshop on box-ball systems from integrable systems and probabilistic perspectives, this talk offers a comprehensive overview of GHD's applications and implications in classical particle systems.