Hydrodynamic Equations for Integrable Many-Body Systems (B03)

• Subject Area: Mathematics
• Term: since 2023
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 470903074

The dynamics of integrable many-body systems, either quantum or classical, is governed by hydrodynamic equations in approximation on sufficiently large spacetime scales. The goal of our project is a study of the key elements of the theory, as generalised Gibbs states, their mixing properties, and their average of local conservation laws. As a start, the primary models are the Toda lattice and the Calogero model using their explicit transformation to scattering coordinates. The mathematical part will be supported by molecular dynamics simulations.

• DFG Programme: CRC/Transregios
• Subproject of: TRR 352: Mathematics of Many-Body Quantum Systems and Their Collective Phenomena
• Applicant Institution: Ludwig-Maximilians-Universität München
• Project Heads: Professor Dr. Christian Mendl; Professor Dr. Herbert Spohn