Ballistic space-time correlators of the classical toda lattice

DOI10.1088/1751-8121/ab91d5OpenAlexW3025478779MaRDI QIDQ5059829

Herbert Spohn

Publication date: 17 January 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.10825

zbMATH Keywords

integrable systemsgeneralised hydrodynamicsGGE spacetime correlations

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (6)

Large deviations for Gibbs ensembles of the classical Toda chain ⋮ Diffusive hydrodynamics of inhomogenous Hamiltonians ⋮ Equilibrium spacetime correlations of the Toda lattice on the hydrodynamic scale ⋮ Rare events in random matrix theory ⋮ Large deviations for Ablowitz-Ladik lattice, and the Schur flow ⋮ Correlation functions for a chain of short range oscillators

Cites Work

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• Diffusing particles with electrostatic repulsion
• One-dimensional hard-rod caricature of hydrodynamics: ``Navier-Stokes correction for local equilibrium initial states
• Distribution functions and excitation spectra of Toda systems at intermediate temperatures
• Asymptotic fluctuations of a particle system with singular interaction.
• Generalized Gibbs ensembles of the classical Toda chain
• Dynamics of hard rods with initial domain wall state
• Integrals of the Toda lattice
• The Toda lattice. II. Existence of integrals
• Matrix models for beta ensembles
• Kinetic theory of quantum and classical Toda lattices
• Generalized hydrodynamics of the classical Toda system
• The GGE averaged currents of the classical Toda chain

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