Stationary scaling in small-scale turbulent dynamo problem

A. V. Kopyev, A. S. Il'yn, V. A. Sirota, and K. P. Zybin
Phys. Rev. E 101, 063102 – Published 5 June 2020

Abstract

We consider forced small-scale magnetic field advected by an isotropic turbulent flow. The random driving force is assumed to be distributed in a finite region with a scale smaller than the viscous scale of the flow. The two-point correlator is shown to have a stationary limit for any reasonable velocity statistics. Its spatial dependence is found to be a power law. The scaling exponent is found to be close to 3.

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  • Received 5 February 2020
  • Accepted 7 May 2020

DOI:https://doi.org/10.1103/PhysRevE.101.063102

©2020 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear DynamicsFluid DynamicsPlasma Physics

Authors & Affiliations

A. V. Kopyev1,*, A. S. Il'yn1,2,†, V. A. Sirota1,‡, and K. P. Zybin1,2,§

  • 1P.N. Lebedev Physical Institute of RAS, 119991, Leninskij pr.53, Moscow, Russia
  • 2National Research University Higher School of Economics, 101000, Myasnitskaya 20, Moscow, Russia

  • *kopyev@lpi.ru
  • asil72@mail.ru
  • sirota@lpi.ru
  • §zybin@lpi.ru

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Issue

Vol. 101, Iss. 6 — June 2020

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