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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. Spanier21 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,
. 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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