Ballistic space-time correlators of the classical Toda lattice
Statistical Mechanics
2020-08-26 v1
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.
Keywords
Cite
@article{arxiv.1911.10825,
title = {Ballistic space-time correlators of the classical Toda lattice},
author = {Herbert Spohn},
journal= {arXiv preprint arXiv:1911.10825},
year = {2020}
}
Comments
19 pages