Detailed analytical investigation of magnetic field line random walk in turbulent plasmas: I. Two-component slab/two-dimensional turbulence

Yannis Kourakis, A. Shalchi

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Abstract

The random displacement of magnetic field lines in the presence of magnetic turbulence in plasmas is investigated from first principles. A two-component (slab/two-dimensional composite) model for the turbulence spectrum is employes. An analytical investigation of the asymptotic behavior of the field-line mean square displacement (FL-MSD) is carried out. It is shown that the magnetic field lines behave superdifusively for every large values of the position variable z, since the FL-MSD sigma varies as sigma similar to z(4/3). An intermediate diffusive regime may also possible exist for finite values of z under conditions which are explicitly determined in terms of the intrinsic turbulent plasma parameters. The superdiffusie asymptotic result is confirmed numerically via an iterative algorithm. The relevance to previous resuslts is discussed.
Original languageEnglish
Pages (from-to)657-677
Number of pages21
JournalJournal of plasma physics
Volume74
Issue number5
DOIs
Publication statusPublished - Oct 2008

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Condensed Matter Physics

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