Analytic distribution functions for an ion plasma crossing an MHD shock

Details Analytic distribution functions for an ion plasma crossing an MHD shock Analytic distribution functions for an ion plasma crossing an MHD shock

Mar 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007a%26a...463..799s&link_type=abstract

Astronomy and Astrophysics, Volume 463, Issue 3, March I 2007, pp.799-805

Astronomy and Astrophysics

Astrophysics

5

Plasma, Shock Waves, Magnetohydrodynamics (Mhd), Sun: Solar Wind

Scientific paper

Context: Very recently, we derived the Boltzmann equation for a collisionless plasma crossing an MHD shock, such as that found in astrophysical situations. Aims: We aim to solve the Boltzmann equation analytically, to obtain exact downstream velocity distribution functions for a given upstream distribution function and an MHD compression ratio. Methods: We apply the general Boltzmann equation to the case of a purely perpendicular shock and solve it using a separation Ansatz. Results: We obtain a simple, analytical relation between the upstream and downstream velocity distribution functions, which is valid for all physical plasmas. Having obtained the desired relation, we also derive an analytical relation for MHD velocity moments of arbitrary order.

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