New one-dimensional model equations of magnetohydrodynamic turbulence

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17 Citations (Scopus)

Abstract

New one-dimensional model equations of magnetohydrodynamic turbulence depending on the position x and the time t are proposed considering the x component of the velocity u(x,t) and the y and z components of the magnetic field by(x,t) and bz(x,t). It is found that the model equations conserve the total energy and the quantity similar to the cross helicity, and that they have a similarity solution, u(x,t)∼x/t and by(x,t), bz(x,t)∼C/t in the inviscid limit. A shock type solution is obtained where both the velocity and the magnetic fields have a jump in a narrow viscous or diffusive region. Numerical simulations are also carried out and the results show that the k-2 energy spectrum develops both for the velocity and the magnetic fields.

Original languageEnglish
Pages (from-to)1010-1017
Number of pages8
JournalPhysics of Plasmas
Volume4
Issue number4
Publication statusPublished - Apr 1997

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magnetohydrodynamic turbulence
magnetic fields
energy spectra
shock
simulation
energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics

Cite this

New one-dimensional model equations of magnetohydrodynamic turbulence. / Yanase, Shinichiro.

In: Physics of Plasmas, Vol. 4, No. 4, 04.1997, p. 1010-1017.

Research output: Contribution to journalArticle

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