Lieb-Robinson bounds for classical anharmonic lattice systems
Mathematical Physics
2015-05-13 v1 math.MP
Abstract
We prove locality estimates, in the form of Lieb-Robinson bounds, for classical oscillator systems defined on a lattice. Our results hold for the harmonic system and a variety of anharmonic perturbations with long range interactions. The anharmonic estimates are applicable to a special class of observables, the Weyl functions, and the bounds which follow are not only independent of the volume but also the initial condition.
Keywords
Cite
@article{arxiv.0902.0025,
title = {Lieb-Robinson bounds for classical anharmonic lattice systems},
author = {Hillel Raz and Robert Sims},
journal= {arXiv preprint arXiv:0902.0025},
year = {2015}
}