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
