Asymptotic kinetic theory of magnetized plasmas : quasi-particle concept

Petro P. Sosenko (1, 2) , Anatoly H. Zagorodny (1, 2)

1 LPMIA - Laboratoire de physique des milieux ionisés et applications
2 International Centre of Physics

The asymptotic kinetic theory of magnetized plasmas is elaborated within the context of general statistical approach and asymptotic methods, developed by M. Krylov and M. Bohol'ubov, for linear and non-linear dynamic systems with a rapidly rotating phase. The quasi-particles are introduced already on the microscopic level. Asymptotic expansions enable to close the description for slow processes, and to relate consistently particles and guiding centres to quasi-particles. The kinetic equation for quasi-particles is derived. It makes a basis for the reduced description of slow collective phenomena in the medium. The kinetic equation for quasi-particles takes into account self-consistent interaction fields, quasi-particle collisions and collective-fluctuation-induced relaxation of quasi-particle distribution function. The relationships between the distribution functions for particles, guiding centres and quasi-particles are derived taking into account fluctuations, which can be especially important in turbulent states. In this way macroscopic (statistical) particle properties can be obtained from those of quasi-particles in the general case of non-equilibrium media.

Mots clés: magnetized plasma; asymptotic methods; quasi-particles; kinetic equations; fluctuations and turbulence

Domaines: Physique des plasmas [physics.plasm-ph]

Petro P. Sosenko, Anatoly H. Zagorodny. Asymptotic kinetic theory of magnetized plasmas : quasi-particle concept. 2004. ⟨hal-00002002⟩