Ballistic space-time correlators of the classical toda lattice

Herbert Spohn

doi:10.1088/1751-8121/ab91d5

Ballistic space-time correlators of the classical toda lattice

Herbert Spohn

TUM Emeriti of Excellence

Research output: Contribution to journal › Article › peer-review

12 Scopus citations

Abstract

The Toda lattice is an integrable system and its natural space-time stationary states are the generalized Gibbs ensembles (GGE). Of particular physical interest are then the space-time correlations of the conserved fields. To leading order they scale ballistically. We report on the exact solution of the respective generalized hydrodynamic equations linearized around a GGE as background state. Thereby we obtain a concise formula for the family of scaling functions.

Original language	English
Article number	265004
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	53
Issue number	26
DOIs	https://doi.org/10.1088/1751-8121/ab91d5
State	Published - 3 Jul 2020

Keywords

GGE spacetime correlations
generalised hydrodynamics
integrable systems

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10.1088/1751-8121/ab91d5

Cite this

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abstract = "The Toda lattice is an integrable system and its natural space-time stationary states are the generalized Gibbs ensembles (GGE). Of particular physical interest are then the space-time correlations of the conserved fields. To leading order they scale ballistically. We report on the exact solution of the respective generalized hydrodynamic equations linearized around a GGE as background state. Thereby we obtain a concise formula for the family of scaling functions.",

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AB - The Toda lattice is an integrable system and its natural space-time stationary states are the generalized Gibbs ensembles (GGE). Of particular physical interest are then the space-time correlations of the conserved fields. To leading order they scale ballistically. We report on the exact solution of the respective generalized hydrodynamic equations linearized around a GGE as background state. Thereby we obtain a concise formula for the family of scaling functions.

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KW - generalised hydrodynamics

KW - integrable systems

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Ballistic space-time correlators of the classical toda lattice

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