Abstract
The kappa-distributed fully ionized plasma with collisional interaction is investigated. The Fokker-Planck equation with Rosenbluth potential is employed to describe such a physical system. The results show that the kappa distribution is not a stationary distribution unless the parameter kappa tends to infinity. The general expressions of collisional relaxation rate of multiple-component plasma with kappa distribution are derived and discussed in specific cases in details. For the purpose of visual illustration, we also give those results numerically in figures. All the results show that the parameter kappa plays a significant role in relaxation rate.
Highlights
After introduced by Vasyliunas in 1968,1 kappa distribution, as a non-equilibrium stationary distribution, has been applied to model plenty of space plasmas successfully, for instance, solar corona,[2,3] solar wind,[4,5,6,7] inner heliosheath,[8] the planetary magnetosphere,[9,10,11] and so on
Theoretical investigations based on kappa distribution are interesting topics, which refer to various properties of plasma deviated from Maxwellian equilibrium, such as the discussions of the Debye length,[12,13] the definition of temperature,[14,15] solitary waves and nonlinear waves in plasmas,[16,17,18] the instabilities of plasma,[19,20,21,22,23,24,25,26] transport properties,[27,28,29,30,31] and some other works,[32,33,34,35] etc
We study fully ionized collisional plasma with kappa distribution by employing the FP equation with Rosenbluth potential
Summary
After introduced by Vasyliunas in 1968,1 kappa distribution, as a non-equilibrium stationary distribution, has been applied to model plenty of space plasmas successfully, for instance, solar corona,[2,3] solar wind,[4,5,6,7] inner heliosheath,[8] the planetary magnetosphere,[9,10,11] and so on. Where e is the elementary charge, φc is the Coulomb potential, c is the speed of light and B is the magnetic induction intensity It indicates that the parameter κ may be linked to the inhomogeneous temperature as well as the existence of external field. It is discussed that the kappa distribution can be the stationary solution of many different kinds of Fokker-Planck (FP) equation associated with plasma describing different physical processes, for instance, the FP equation which models a stochastic dynamical process under the generalized fluctuation-dissipation relation,[42,43,44] the FP equation describing wave-particle interaction in a superthermal radiation field,[45] the FP equation depicting weak turbulence,[46] the FP equation of accelerated electron in solar flares combining the effects of turbulent acceleration and Coulomb collisions,[47] etc.
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