Astronomy and Astrophysics – Astrophysics
Scientific paper
Jun 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992a%26a...259..359c&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 259, no. 1, p. 359-372.
Astronomy and Astrophysics
Astrophysics
9
Dynamic Models, Magnetohydrodynamic Turbulence, Plasma Interactions, Solar Wind, Molecular Relaxation, Nonlinear Equations, Three Dimensional Models
Scientific paper
A truncated set of nonlinear ordinary differential equations (ODE) for the velocity and magnetic field Fourier amplitudes has been derived from the MHD equations. In this reduced system the interactions take place only between three wave-vectors. The dynamical evolution of this model is restricted to a six-dimensional vector space. Some three-dimensional time-invariant subspaces, have been identified. These subspaces are shown to determine the self-organization observed during the relaxation processes which occur in MHD, producing long-living, nontrivial solutions like the 'Taylor's vortex' or the 'Alvenic structures'. Our set of equations then assumes the role of a Lorenz-like model to study the relaxation processes in MHD and allows us to make some predictions in the expected evolution of both fusion devices (RFP) and astrophysical structures (coronal loop, low-frequency solar wind fluctuations).
Carbone Vincenzo
Veltri Pierluigi
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