On the collisional relaxation of solar wind velocity distributions

Mathematics

Scientific paper

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Coulomb Collisions, Fokker-Planck Equation, Solar Wind Velocity, Velocity Distribution, Distribution Functions, Operators (Mathematics), Relaxation Time, Temperature Ratio, Temporal Distribution

Scientific paper

The time-evolution of two non-Maxwellian distribution functions under the effects of Coulomb self-collisions is investigated. The full Fokker-Planck collision operator is employed, which describes binary particle interactions resulting in small-angle deflections of particle trajectories. Emphasis is placed on a detailed analysis of the temporal evolution of an appropriate effective collision frequency, which is formally defined by a relaxation-time version of the collision operator. The time required for the distribution to become Maxwellian is found to be nearly ten times the self-collision time. The collisional evolution of the higher moments of the distributions is also discussed.

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