Localization for random coupled harmonic oscillators on $\mathbb{Z}^d$
Dynamical Systems
2023-03-03 v1 Mathematical Physics
math.MP
Abstract
In this paper we consider the localization properties of coupled harmonic oscillators in random media. Each of these oscillators is restricted to the lattice . We show that for most states and an arbitrary choice of the random media, the long time localization for the coupled system holds in a time scale larger than the polynomial one.
Cite
@article{arxiv.2303.01077,
title = {Localization for random coupled harmonic oscillators on $\mathbb{Z}^d$},
author = {Hongzi Cong and Yunfeng Shi and Zhihan Zhang},
journal= {arXiv preprint arXiv:2303.01077},
year = {2023}
}
Comments
17 pages, comments welcome