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Issue A&A
Volume 437, Number 1, July I 2005
Page(s) 1 - 8
Section Astrophysical processes
DOI http://dx.doi.org/10.1051/0004-6361:20042433



A&A 437, 1-8 (2005)
DOI: 10.1051/0004-6361:20042433

Evolution of Alfvén waves by three-wave interactions in super-Alfvénic shocks

R. Vainio1 and F. Spanier2

1  Department of Physical Sciences, PO Box 64, 00014 University of Helsinki, Finland
    e-mail: rami.vainio@helsinki.fi
2  Institut für Theoretische Physik, Lehrstuhl IV: Weltraum- und Astrophysik, Ruhr-Universität Bochum, 44780 Bochum, Germany
    e-mail: fspanier@tp4.rub.de

(Received 25 November 2004 / Accepted 24 February 2005)

Abstract
We calculate the evolution of Alfvén waves in super-Alfvénic flows, such as the downstream region of a fast-mode shock, via three-wave interactions between two Aflvén waves and a sound wave. We show that the process has a significant influence on the evolution of the Alfvén wave spectra, driving the system toward a degenerate normalized cross-helicity, $H_{\rm c}\to\pm1$. Typical distances in which the system evolves are evaluated, and the effects of the calculated turbulence evolution on test-particle acceleration in super-Alfvénic quasi-parallel shocks are studied. We show that typically the spectrum of accelerated particles is determined by the first-order Fermi acceleration process as described earlier by Vainio & Schlickeiser (1998, A&A, 331, 793; 1999, A&A, 343, 303), and identify some regions of parameter space, where the earlier results are significantly modified either by changes in the predicted scattering-center compression ratio or by stochastic acceleration in the downstream plasma.


Key words: acceleration of particles -- magnetohydrodynamics (MHD) -- plasmas -- shock waves -- turbulence -- waves

SIMBAD Objects in preparation



© ESO 2005


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