The collision rate ansatz for the classical Toda lattice
Statistical Mechanics
2020-07-01 v1 Mathematical Physics
math.MP
Abstract
Considered is a generalized Gibbs ensemble of the classical Toda lattice. We establish that the collision rate ansatz follows from (i) the charge-current susceptibility matrix is symmetric and (ii) the stretch current is proportional to the momentum, hence conserved.
Cite
@article{arxiv.2004.03802,
title = {The collision rate ansatz for the classical Toda lattice},
author = {Herbert Spohn},
journal= {arXiv preprint arXiv:2004.03802},
year = {2020}
}
Comments
9 pages, 1 figure