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arXiv · 1911.10825

Ballistic space-time correlators of the classical Toda lattice

Herbert Spohn
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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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Herbert Spohn. 2019-11-25. Ballistic space-time correlators of the classical Toda lattice. https://doi.org/10.1088/1751-8121%2Fab91d5

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