Hydrodynamic Equations for the Toda Lattice

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.

103 pages

References in corpus (10)

• The one-dimensional KPZ equation and its universality class
• Ballistic transport in the one-dimensional Hubbard model: the hydrodynamic approach
• Generalized TBA and generalized Gibbs
• Invariant $\beta$-ensembles and the Gauss-Wigner crossover
• Dynamics of the spin-1/2 Heisenberg chain initialized in a domain-wall state
• Local and Quasilocal Conserved Quantities in Integrable Systems
• Current fluctuations for anharmonic chains in thermal equilibrium
• The collision rate ansatz for the classical Toda lattice
• Equilibrium dynamical correlations in the Toda chain and other integrable models
• Global Birkhoff coordinates for the periodic Toda lattice