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Stationary scaling in small-scale turbulent dynamo problem.

A V Kopyev1, A S Il'yn1,2, V A Sirota1

  • 1P.N. Lebedev Physical Institute of RAS, 119991, Leninskij pr.53, Moscow, Russia.

Physical Review. E
|July 22, 2020
PubMed
Summary

We studied how small magnetic fields behave in turbulent flows. The magnetic field

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Area of Science:

  • Plasma Physics
  • Magnetohydrodynamics
  • Turbulence Theory

Background:

  • Small-scale magnetic fields are crucial in astrophysical and laboratory plasmas.
  • Understanding their behavior in turbulent flows is key to many phenomena.

Purpose of the Study:

  • To analyze the advection of forced small-scale magnetic fields by isotropic turbulent flows.
  • To determine the statistical properties and spatial dependence of the magnetic field correlator.

Main Methods:

  • Mathematical modeling of magnetic field advection in turbulence.
  • Analysis of the two-point magnetic field correlator.
  • Investigating the impact of random driving forces smaller than the viscous scale.

Main Results:

  • The two-point correlator reaches a stationary limit for various velocity statistics.
  • The spatial dependence of the correlator follows a power law.
  • The scaling exponent is found to be approximately 3.

Conclusions:

  • Small-scale magnetic fields in isotropic turbulence exhibit predictable statistical behavior.
  • The power-law scaling of the correlator provides insights into magnetic field structure.
  • The findings are relevant for understanding magnetic field generation and evolution in turbulent environments.