Computer Science
Scientific paper
May 2001
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001phdt........31v&link_type=abstract
PhDT.
Computer Science
1
Sun, Corona, Ions, Plasma, Heating, Waves, Distribution Function
Scientific paper
A kinetic model of the ions in the solar corona is presented. In contrast to fluid models, kinetic models have the advantage of making no assumptions on the shape of the velocity distribution functions (VDFs) of the ions. Thus, they enable the description of states far away from thermal equilibrium. Integration over the velocity components perpendicular to the background magnetic field yields "reduced VDFs". A Vlasov equation for these reduced VDFs is derived. The reduced VDFs depend only on one spatial and on one velocity coordinate, so that the Vlasov equation for them can be solved with reasonable numerical effort. The model describes the wave-particle interaction within the framework of quasilinear theory. Energy conservation between waves and particles is guaranteed. The Coulomb collisions are calculated using the Landau collision integral. Starting from an initial condition, the time-dependent Vlasov equation is solved numerically until a stationary state has been found. The model shows good conservation of particle number and energy. Simulation results for the plasma within a coronal funnel are presented. They show a preferred heating of the heavy ions and strong deviations from a Maxwellian VDF, coincident with observations. The stability properties of these reduced VDFs are discussed.
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