Thermoelectric potential in a weaklyinhomogeneous collisionless maxwellian plasma

Abstract

Summary form only given. In this paper a detailed analytical computations of calculation of thermoelectric potential of two-componential, non-uniform, non-collision Maxwellian plasmas with the characteristic scales of heterogeneity which are much exceeding the Debue radius are submitted. The stationary plasma in which macroscopic velocities of plasma particles are small in comparison with their thermal velocities is considered and the condition of local quasi-neutrality is satisfied. In the considered plasma, the number of particles in Debue sphere is big enough. The plasma is considered as a gas of neutral quasi-particles (QP), which are representing the charged particles of plasma "dressed" by own polarizing clouds. In a case of not very dense plasma such gas can be assumed as ideal gas. QP, formed by electrons and ions, are varied already by virtue of that they are formed as a result of their immersing in environment with various signs of charge. Distinctive feature of the QP of non-uniform plasma is their non-identity even for QP of one grade because in different places of a plasma column their shielding polarizing clouds are various. It is shown, what exactly this distinction in sizes and structure of the QP leads to occurrence of a macroscopic electric field. The dynamic character of screening, at it, plays the key role. From the analysis of the received analytical expression of thermoelectric potential it follows (at performance of a condition of quasi-neutrality) that the thermoelectric potential becomes zero in two cases: a) at limit of static (Debue) screening; b) at equality of velocities of electrons and ions. The last is fair even at accounting of dynamic shielding. The electronic contribution to factor of thermoelectric potential is considered also at a various share non-equilibrium of electrons and their energy. The settlement values of this contribution are submitted in a graphic kind that allows estimating influence of the non-equilibrium of plasmas on distribution of a macroscopic electric field in a plasma column