Ballistic space-time correlators of the classical toda lattice. (10th June 2020)

• Record Type: Journal Article
• Authors: Spohn, Herbert
• Is Part Of: Journal of physics. Volume 53:Number 26(2020)
• Publication Date: 2020-06-10
• Subjects: integrable systems -- generalised hydrodynamics -- GGE spacetime correlations; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/ab91d5
• Languages: English
• ISSNs: 1751-8113

Abstract

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.