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arXiv · 2101.06528

Hydrodynamic Equations for the Toda Lattice

Herbert Spohn
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Abstract

1. Introduction, 2. Dynamics of the classical Toda lattice, 3. Static properties, 4. Mean-field Dyson Brownian motion, 5. Hydrodynamics for hard rods, 6. Generalized hydrodynamic equations, 7. Linearized hydrodynamics and GGE dynamical correlations, 8. Domain wall initial states, 9. Toda fluid, 10. Hydrodynamics for the Lieb-Liniger delta-Bose gas, 11. Quantum Toda lattice, 12. Beyond the Euler time scale.

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Herbert Spohn. 2021-01-16. Hydrodynamic Equations for the Toda Lattice. https://arxiv.org/abs/2101.06528

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