Mechanical analysis and bound of plasma chaotic system

Abstract

Plasma is normally investigated via fluid dynamics, and to investigate the force and energy underlying a plasma chaotic system, it is first transformed into a Kolmogorov-type system. This system describes a general form of fluid and forced-dissipative rigid body system. The vector field of the plasma chaotic system is decomposed into four types of torque: inertial torque, internal torque, dissipation, and external torque. The Hamiltonian energy transfer between kinetic energy and potential is discovered. The various combinations of these four types of torque are constructed to uncover the effect of each on the generation of the dynamic mode of the chaotic system. The physical functions of the whistler and dampening of the pump are identified in producing the different plasma dynamics. Aside from the torque effects, the rate of change of the Casimir function is also a key factor in characterizing the orbit behavior of the plasma system. Last, a supremum bound of the plasma chaotic attractor is proposed.