Ve. Zakharov et Cv. Meister, LARGE-SCALE TRANSPORT OF PLASMA IN THE EARTHS PLASMA SHEET - COMPARATIVE-ANALYSIS FOR ADIABATIC AND NONADIABATIC CASES, Astronomische Nachrichten, 318(1), 1997, pp. 51-62
A system of multi-fluid MHD-equations is used to compare adiabatic and
non-adiabatic transport of the energetic particles in the magnetosphe
ric plasma sheet. A ''slow-flow'' approximation is considered to study
large-scale transport of the anisotropic plasma consisting of energet
ic electrons and protons. Non-adiabatic transport of the energetic pla
sma is caused by scattering of the particles in the presence of both w
ave turbulence and arbitrary time-varying electric fields penetrating
from the solar wind into the magnetosphere. The plasma components are
devided into particle populations defined by their given initial effec
tive values of the magnetic moment per particle. The spatial scales ar
e also given to estimate the non-uniformity of the geomagnetic field a
long the chosen mean path of a particle. The latters are used to integ
rate approximately the system of MHD-equations along each of these pat
hs. The behaviour of the magnetic moment mentioned above and of the pa
rameter which characterizes the pitch-angle distribution of the partic
les are studied self-consistently in dependence on the intensity of no
n-adiabatic scattering of the particles. It is shown that, in the inne
r magnetosphere, this scattering influences the particles in the same
manner as pitch-angle diffusion does. It reduces the pitch-angle aniso
tropy in the plasma. The state of the plasma may be unstable in the cu
rrent sheet of the magnetotail. If the initial state of the plasma doe
s not correspond to the equilibrium one, then, in this case, scatterin
g influences the particles so as to remove the plasma further from the
equilibrium state. The coefficient of the particle diffusion across t
he geomagnetic field lines is evaluated. This is done by employing the
Langevin approach to take the stochastic electric forces acting on th
e energetic particles in the turbulent plasma into account. The behavi
our of the energy density of electrostatic fluctuations in the magneto
sphere is estimated.