Transport theory in moderately anisotropic plasmas: I, Collisionless aspects of axisymmetric velocity space

A novel transport theory, based on the finitely distinguishable independent features (FDIF) hypothesis, is presented for scenarios when velocity space exhibits axisymmetry. In this theory, the transport equations are derived from the 1D-2V Vlasov equation, employing the spherical harmonics expansions (SHE) together with the King function expansion (KFE) in velocity space. The characteristic parameter equations (CPEs) are provided based on the general King mixture model (GKMM), serving as the constraint equations of the transport equations. It is a nature process to present the closure relations of transport equations based on SHE and KFE, successfully providing a kinetic moment-closed model (KMCM). This model is typically a nonlinear system, effective for moderately anisotropic non-equilibrium plasmas.