Hydrodynamic Equations for the Toda Lattice
Statistical Mechanics
2021-01-19 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.2101.06528,
title = {Hydrodynamic Equations for the Toda Lattice},
author = {Herbert Spohn},
journal= {arXiv preprint arXiv:2101.06528},
year = {2021}
}
Comments
103 pages