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Hydrodynamic Equations for the Toda Lattice

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arxiv 2101.06528 v1 pith:XPUMA3GQ submitted 2021-01-16 cond-mat.stat-mech math-phmath.MPnlin.SI

Herbert Spohn This is my paper · ORCID
classification cond-mat.stat-mechmath-phmath.MPnlin.SI
keywords todahydrodynamicslatticeequationshydrodynamicbeyondbrownianclassical
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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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Cited by 1 Pith paper

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  1. Lax random matrices from Calogero systems

    cond-mat.stat-mech 2024-11 conditional novelty 5.0 of 10

    In the thermal hyperbolic Calogero fluid, the Lax-matrix eigenvalue density is computed numerically and matches a generalized log-gas, with weak boundary-condition dependence in the thermodynamic limit.

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