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.

arXiv comment103 pages

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Cited by in corpus (9)

• Soliton gas in integrable dispersive hydrodynamics
• Form factors and generalized hydrodynamics for integrable systems
• Diffusive Hydrodynamics of Inhomogenous Hamiltonians
• The Taylor-von Neumann-Sedov blast-wave solution: comparisons with microscopic simulations of a one-dimensional gas
• Generalized Gibbs ensemble of the Ablowitz-Ladik lattice, Circular $\beta$-ensemble and double confluent Heun equation
• High-low pressure domain wall for the classical Toda lattice
• Soliton gas of the integrable Boussinesq equation and its generalised hydrodynamics
• Large deviations for generalized Gibbs ensembles of the classical Toda chain
• Lax random matrices from Calogero systems