Self Consistent Calculation of Fokker-Planck Coefficients for Transport in Space Plasmas

Details Self Consistent Calculation of Fokker-Planck Coefficients for Transport in Space Plasmas Self Consistent Calculation of Fokker-Planck Coefficients for Transport in Space Plasmas

Dec 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007agufmsm13a1120p&link_type=abstract

American Geophysical Union, Fall Meeting 2007, abstract #SM13A-1120

Physics

7807 Charged Particle Motion And Acceleration, 7857 Stochastic Phenomena (3235, 3265, 4475), 7859 Transport Processes, 7863 Turbulence (4490)

Scientific paper

Most space plasmas present velocity distributions with superthermal tails, fitted with kappa distributions. Some investigators have demonstrated a kappa distribution solution to the Fokker-Planck equation containing a longitudinal diffusion coefficient with an added (velocity)-1 dependence. These calculations rely on transport coefficients evaluated with an underlying equilibrium (Maxwellian) distribution, although the steady state solution remains kappa and never attains full equilibrium. This investigation presents the functional form for transport coefficients calculated self-consistently with an underlying kappa distribution rather than a Maxwellian distribution. These transport coefficients, retain the same velocity dependence in the high velocity (asymptotic) limit, so that (velocity)-1 dependence to the diffusion coefficient, that these earlier investigators seek is revalidated. However, below this limit, the functional form of the transport coefficients calculated self-consistently differs from these coefficients used in earlier solutions to the steady state Fokker-Planck equation. Relaxation times for plasma transport based on these revised functional forms will be calculated and compared with earlier calculated relaxation times. Implication to space weather modeling will be presented.

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