Abstract:
Based on Grad–Shafranov-like equations, a gyrotropic plasma where the
pressures in the static regime are only functions of the amplitude of the
local magnetic field is shown to be amenable to a variational principle
with a free energy density given by the parallel tension.
This approach is used to demonstrate that small-amplitude static holes
constructed slightly below the mirror instability threshold identify with
lump solitons
of KPII (Kadomtsev–Petviashvili) equation and turn out to be unstable. It is also shown that
regularizing effects such as finite
Larmor radius corrections cannot be ignored in the description of
large-amplitude mirror structures.