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査読

1 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)151-182
ページ数32
ジャーナルCommunications in Mathematical Physics
372
1
DOI
出版ステータスPublished - 2019 11 1

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 数理物理学

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