Coulomb collisions and coronal heating by velocity filtration

Astronomy and Astrophysics – Astrophysics

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Astronomical Models, Collision Parameters, Coulomb Collisions, Electric Potential, Electron Distribution, Solar Corona, Thermodynamics, Velocity Distribution, Boltzmann-Vlasov Equation, Boundary Value Problems, Particle Size Distribution, Solar Atmosphere, Space Plasmas, Thermodynamic Properties, Velocity

Scientific paper

We introduce the effects of Coulomb collisions to the velocity filtration model of coronal heating, which has so far been done collisionlessly. Non-Maxwellian particle distributions are at the heart of this model, so collisions, which force such distributions to relax, can play a critical role. We consider a column of plasma extending upwards from the bottom of the corona and use typical transition zone densities and temperatures as well as the non-Maxwellian kappa distribution previously used in this model. We demonstrate the collisions are an important factor by comparing electron density and energy profiles predicted by the collisionless Vlasov equation to ones made using the assumption that collisions are a small, first-order perturbation. For the heights considered (below 0.5 solar radius), these collisional corrections are of order unity or larger. We conclude that the velocity filtration model needs to be redone including collisions self-consistently.

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