The Self-Consistent Evaluation of Fokker-Planck Transport Coefficients Leading to the Kappa Velocity Distribution at High Velocities, Closely Approximating a Maxwellian Energy Distribution at Low Energies

Details The Self-Consistent Evaluation of Fokker-Planck Transport Coefficients Leading to the Kappa Velocity Distribution at High Velocities, Closely Approximating a Maxwellian Energy Distribution at Low Energies The Self-Consistent Evaluation of Fokker-Planck Transport Coefficients Leading to the Kappa Velocity Distribution at High Velocities, Closely Approximating a Maxwellian Energy Distribution at Low Energies

May 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008agusmsm31e..02p&link_type=abstract

American Geophysical Union, Spring Meeting 2008, abstract #SM31E-02

Physics

7827 Kinetic And Mhd Theory, 7833 Mathematical And Numerical Techniques (0500, 3200), 7845 Particle Acceleration, 7857 Stochastic Phenomena (3235, 3265, 4475), 7859 Transport Processes

Scientific paper

Several previous studies have suggested Langmuir waves, whistler waves, or suprathermal radiation as sources of an added contribution which varies inverse linearly with velocity, to the parallel diffusion coefficient. In the high velocity limit, this added contribution leads to the kappa velocity distribution using transport coefficients based on a Maxwellian. This study determines transport coefficients self-consistently based on a kappa distribution using the dominant term approximation. We assess the dominant term approximation in both the Maxwellian and kappa cases, by comparing transport coefficients to corresponding coefficients obtained through numeric integration. Just as in the Maxwellian case, the added inverse linear velocity contribution to the parallel diffusion coefficient leads to a kappa velocity distribution in the high velocity limit; in the kappa case by using the self- consistent diffusion coefficients. This study also addresses the energy distribution, as well as the velocity distribution resulting from the inverse linear contribution. Adding this contribution to the parallel diffusion coefficient, in either case (Maxwellian or kappa), alters the energy distribution away from one approximating the Maxwellian energy distribution at lower energies. We suggest an alternative contribution which generates the kappa velocity distribution in the high velocity limit, while preserving the approximately Maxwellian energy distribution at lower energies.

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