Closure of multi-fluid equations for cyclotron-resonant interactions of ions with Alfvén waves in the solar corona

Computer Science

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Magnetohydrodynamics And Plasmas

Scientific paper

Based on quasilinear theory, a set of anisotropic, multi-component fluid equations is derived. These equations describe the wave-particle interactions of ions with electromagnetic Alfvén and ion-cyclotron waves propagating along the mean magnetic field. The ion acceleration and heating rates are calculated. They may be used in the multifluid momentum and energy equations as anomalous transport terms. The associated evolution equation for the average wave spectrum is also established, and the effective growth/damping rate for the wave energy spectrum is calculated. The wave-particle-interaction terms attain forms resembling the ones for collisional friction and temperature-anisotropy relaxation (due to pitch angle scattering), but with collision rates that are proportional to the gyrofrequency times the relative wave-fluctuation level with respect to the background field. A simple closure scheme is suggested, which connects the dissipation of turbulence and waves with the individual heating rates of the minor ions in the corona. The heavy-ion emission-line widths observed by SOHO and the derived ion temperatures provide new empirical evidence that the heating may be related with cyclotron-resonance wave dissipation.

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