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

Keiji Saito, Makiko Sasada, Hayate Suda

研究成果: Article

1 引用 (Scopus)

抜粋

We consider a one-dimensional infinite chain of coupled charged harmonic oscillators in a magnetic field with a small stochastic perturbation of order ϵ. We prove that for a space–time scale of order ϵ- 1 the density of energy distribution (Wigner distribution) evolves according to a linear phonon Boltzmann equation. We also prove that an appropriately scaled limit of solutions of the linear phonon Boltzmann equation is a solution of the fractional diffusion equation with exponent 5 / 6.

元の言語English
ジャーナルCommunications in Mathematical Physics
DOI
出版物ステータスPublished - 2019 1 1

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

フィンガープリント 5 / 6-Superdiffusion of Energy for Coupled Charged Harmonic Oscillators in a Magnetic Field' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

  • これを引用