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cond-mat.stat-mech2021★ 21 cited
Hydrodynamic equations for the Ablowitz-Ladik discretization of the nonlinear Schroedinger equation
Herbert Spohn
Ablowitz and Ladik discovered a discretization which preserves the integrability of the nonlinear Schroedinger equation in one dimension. We compute the generalized free energy of…
cond-mat.stat-mech2021★ 45 cited
Form factors and generalized hydrodynamics for integrable systems
Axel Cortés Cubero, Takato Yoshimura, Herbert Spohn
Our review covers microscopic foundations of generalized hydrodynamics (GHD). As one generic approach we develop form factor expansions, for ground states and generalized Gibbs ens…
cond-mat.stat-mech2021★ 19 cited
Hydrodynamic Equations for the Toda Lattice
Herbert Spohn
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 e…