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arXiv:2301.08504 [cond-mat.stat-mech]AbstractReferencesReviewsResources

Hydrodynamic scales of integrable many-particle systems

Herbert Spohn

Published 2023-01-20Version 1

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

Comments: 178 pages, 12 Figures. This a much enlarged and substantially improved version of arXiv:2101.06528
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