Statistics – Computation
Scientific paper
Dec 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987a%26a...188..239c&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 188, no. 1, Dec. 1987, p. 239-250. Research supported by the Ministero della P
Statistics
Computation
13
Astronomical Models, Cascade Flow, Magnetohydrodynamic Turbulence, Turbulence Models, Boundary Value Problems, Computational Astrophysics, Energy Spectra, Energy Transfer, Solar Wind, Temporal Distribution
Scientific paper
The authors built up a simplified cascade model for M.H.D. turbulence, in which nonlinear interactions are limited to neighbouring wave numbers. It is shown that (1) initial conditions with an imbalance between the energies injected in the two possible modes of Alfvén wave propagation, relax toward a state in which the only mode present is that initially dominant, and such a final state is a static one characterized by parallel magnetic and velocity fields; (2) a stationary state for this system is possible also in the presence of a source asymmetrical with respect to the two possible wave propagation modes. The following picture is suggested by the results: a process corresponding to the observed self-organization of M.H.D. turbulence can be obtained as a direct consequence of the hypothesis used to build up the model; on the contrary, the early stages of evolution of an M.H.D. cascade are perhaps best described as the development of a linear parametric instability.
Carbone Vincenzo
Veltri Pierluigi
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