Physics – Plasma Physics
Scientific paper
Oct 1999
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999esasp.446..235c&link_type=abstract
8th SOHO Workshop: Plasma Dynamics and Diagnostics in the Solar Transition Region and Corona. Proceedings of the Conference hel
Physics
Plasma Physics
Scientific paper
The heating of high temperature plasmas by MHD waves is one of the most interesting and challenging problems of plasma physics especially when the energy is injected into the system at length scales much larger than the dissipative ones. It has been conjectured that in 2-D MHD systems the possibility exist of establishing a state in which energy is dissipated at a rate that is independent of the ohmic resistivity and that the time needed to reach such a state is finite and independent of resistivity as well. We study the nonlinear interaction of long-wavelength, small amplitude perturbations with an inhomogeneous magnetic field showing that energy is transferred to the fluctuations from the background equilibrium. In the case of an isolated system, the free energy initially stored in the equilibrium would decrease and the field would tend to become homogeneous. To model the process of energy injection into the system, we force the large scale field to maintain its initial profile. In these circumstances, we prove that it is actually possible after a finite time, independent of the dissipative mechanism, to generate a well developed 2-D MHD turbulent state where the dissipation rate does not depend on the Lundquist number, at least for values of the order of a few thousands. To our knowledge, this is the first time in which the existence of the conjectured resistivity independent dissipation has been explicitly demonstrated.
Califano Francesco
Chiuderi Claudio
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