EDP Sciences
Free Access
Volume 397, Number 3, January III 2003
Page(s) 777 - 788
Section Cosmology
DOI https://doi.org/10.1051/0004-6361:20021548

A&A 397, 777-788 (2003)
DOI: 10.1051/0004-6361:20021548

Cosmic ray transport in anisotropic magnetohydrodynamic turbulence

II. Shear Alfvèn waves
A. Teufel1, I. Lerche2 and R. Schlickeiser1

1  Institut für Theoretische Physik, Lehrstuhl IV: Weltraum- und Astrophysik, Ruhr-Universität Bochum, 44780 Bochum, Germany
    e-mail: andreasm4@yahoo.com
2  Department of Geological Sciences, University of South Carolina, Columbia, SC 29208, USA
    e-mail: black@geol.sc.edu

(Received 31 May 2002 / Accepted 23 October 2002 )

Observations of interstellar turbulence imply that the power spectrum of the wave turbulence must be highly anisotropic. This anisotropy has to be included when transport of high energy cosmic rays in the Galaxy is discussed. Here we evaluate the relevant cosmic ray transport parameters in the presence of anisotropic shear Alfvèn wave turbulence, which have no contribution from the transit-time damping interaction and are entirely due to gyroresonant interactions. By averaging the respective Fokker-Planck coefficient over the particle pitch-angle we calculate the momentum and spatial diffusion coefficients for different anisotropy parameters. For strongly perpendicular turbulence ( $\Lambda \ll 1$) we obtain that the momentum diffusion coefficient is proportional to $\Lambda ^{(s+1)/2}$, whereas for strongly parallel turbulence ( $\Lambda \gg 1$) the momentum diffusion coefficient is a constant. We also calculate the anisotropy dependence of the spatial diffusion coefficient and the mean free path for pure Alfvèn turbulence. For all coefficients we discuss the rigidity dependence for different cosmic ray particles and compare with earlier calculations of transport parameters for slab-type Alfvèn turbulence.

Key words: magnetohydrodynamics (MHD) -- plasmas -- turbulence -- cosmic rays -- ISM: magnetic fields

Offprint request: A. Teufel, ate@tp4.ruhr-uni-bochum.de

© ESO 2003

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