A. Rokhlenko, J. L. Lebowitz
Bounds on the Mobility of Electrons in Weakly Ionized Plasmas
(30K, TeX)
ABSTRACT. We obtain exact upper and lower bounds on the steady state drift
velocity, and kinetic energy of electrons, driven by an external field
in a weakly ionized plasma (swarm approximation). The scattering is
assumed to be elastic with simplified velocity dependence of the
collision cross sections. When the field is large the bounds are
close to each other and to the results obtained from the conventional
approximation of the Boltzmann equation in which one keeps only the
first two terms of a Legendre expansion. The bounds prove rigorously
that it is possible to increase the electron mobility by the addition
of suitably chosen scatterers to the system as predicted by the
Druyvesteyn approximation and found in experiments.