Ve. Zakharov et Mi. Pudovkin, EFFECTS OF SPATIAL DIFFUSION IN THE INNER PLASMA SHEET AND THE STRUCTURE OF THE DIFFUSION TENSOR, Annales geophysicae, 13(2), 1995, pp. 111-117
A standard pair equations is used to describe the behaviour of a singl
e monoenergetic particle (proton or electron) population on a geomagne
tic flux tube drifting in the magnetosphere. When particle losses from
the drifting flux tube into the ionosphere are neglected, this behavi
our is adiabatic in a thermodynamic sense. For a population of particl
es with an isotropic pitch-angle distribution, the generalization of t
hat system of equations is obtained by adding radial and azimuthal spa
tial diffusion terms. The magnetic field is taken to be dipolar in the
inner magnetosphere. The potential electric field is assumed to consi
st of magnetospheric convection and corotation components. Experimenta
l data are used to estimate the radial equatorial profiles of the plas
ma sheet pressure. Assuming that the local time and L-shell variations
are separable and supposing steady-state conditions, the expressions
for the diffusion tensor components are evaluated. The influence of sp
atial diffusion on the radial and azimuthal profiles of the plasma pre
ssure in the inner plasma sheet is also discussed.