ABSTRACT
Equations (2.7), (2.10), (2.15) for the particle, momentum and energy transport, in combination with the Maxwell equations for electromagnetic field, describe evolution of inhomogeneous profiles of plasma density, composition and temperature. Transport problems are typically characterized by relatively slow temporal and large spatial scales, and the arising electric field is, as a rule, electrostatic. If we assume, that plasma is quasineutral, neglect its influence on the magnetic field, and substitute the expressions for the particle fluxes from the momentum conservation equations (2.10) into the Eqs. (2.7), (2.15), we obtain p equations for densities of the charged particles (electrons and (p-1) species of ions), and two equations for the electron temperature and temperature of heavy particles. When supplemented by the quasineutrality condition Eq. (2.121), this system of (p+3) equations determines (p+3) unknown functions: p partial densities, two temperatures and potential. Usually the transport processes are strongly influenced by phenomena at solid boundary surfaces - vessel walls, electrodes, etc.. It means, that to solve any given problem the system of the transport equations is to be supplemented by appropriate boundary and initial conditions.
