5 / 6-Superdiffusion of Energy for Coupled Charged Harmonic Oscillators in a Magnetic Field

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

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Bibliographic details

Volume:	372
Main Author:	Saito, Keiji Sasada, Makiko Suda, Hayate
Format:	Journal Article
Language:	English
Place of publication:	Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2019 SPRINGER Springer Nature B.V
published in:	Communications in mathematical physics Vol. 372; no. 1; pp. 151 - 182
ORCID:	0000-0003-2150-2870
Data of publication:	20191100
ISSN:	0010-3616 1432-0916
EISSN:	1432-0916
Discipline:	Applied Sciences Mathematics Physics
Subjects:	Quantum Physics Mathematical Physics Classical and Quantum Gravitation, Relativity Theory Theoretical, Mathematical and Computational Physics Complex Systems Physics Physical Sciences Physics, Mathematical Science & Technology Mathematical analysis Energy distribution Phonons Boltzmann transport equation Perturbation Magnetic fields Wigner distribution Harmonic oscillators THERMAL-CONDUCTIVITY SUPERDIFFUSION LIMIT-THEOREMS
Online Access:	Fulltext
Database:	Web of Science - Science Citation Index Expanded - 2019 Web of Knowledge Science Citation Index Expanded Web of Science CrossRef Database information Databases - DBIS