{ "id": "2301.08504", "version": "v1", "published": "2023-01-20T10:21:53.000Z", "updated": "2023-01-20T10:21:53.000Z", "title": "Hydrodynamic scales of integrable many-particle systems", "authors": [ "Herbert Spohn" ], "comment": "178 pages, 12 Figures. This a much enlarged and substantially improved version of arXiv:2101.06528", "categories": [ "cond-mat.stat-mech", "math-ph", "math.MP", "nlin.SI" ], "abstract": "1. Introduction, 2. Dynamics of the classical Toda lattice, 3. Static properties, 4. Dyson Brownian motion. , 5. Hydrodynamics for hard rods, 6. Equations of generalized hydrodynamics, 7. Linearized hydrodynamics and GGE dynamical correlations, 8. Domain wall initial states, 9. Toda fluid, 10. Hydrodynamics of soliton gases, 11. Calogero models, 12. Discretized nonlinear Schr\\\"odinger equation , 13. Hydrodynamics for the Lieb-Liniger $\\delta$-Bose gas, 14. Quantum Toda lattice, 15. Beyond the Euler time scale", "revisions": [ { "version": "v1", "updated": "2023-01-20T10:21:53.000Z" } ], "analyses": { "keywords": [ "integrable many-particle systems", "hydrodynamic scales", "domain wall initial states", "dyson brownian motion", "quantum toda lattice" ], "note": { "typesetting": "TeX", "pages": 178, "language": "en", "license": "arXiv", "status": "editable" } } }