5/6-Superdiffusion of energy for coupled charged harmonic oscillators in a magnetic field

We consider a one-dimensional infinite chain of coupled charged har- monic oscillators in a magnetic field with a small stochastic perturbation of order $\epsilon$. We prove that for a space-time scale of order $\epsilon$^{-1} the density of energy distribution (Wigner distribution) evolves accordin...

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Bibliographic details
Main Author: Saito, Keiji
Sasada, Makiko
Suda, Hayate
Format: Journal Article
Language: English
Place of publication: 02.08.2018
Data of publication: 2018-08-02
Online Access: Fulltext
Database: arXiv Mathematics
arXiv.org
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