Abstract:
We present approximate solutions of non-local linear perturbational analysis for dis-
cussing the stability properties of the Gravito-Electrostatic Sheath (GES)-based solar
plasma equilibrium, which is indeed non-uniform on both the bounded and unbounded
scales. The relevant physical variables undergoing perturbations are the self-solar grav-
ity, electrostatic potential and plasma
ow along with plasma population density. We
methodologically derive linear dispersion relation for the GES
fluctuations, and solve
it numerically to identify and characterize the existent possible natural normal modes.
Three distinct natural normal modes are identfi ed and named as the GES-oscillator
mode, GES-wave mode and usual (classical) p-mode. In the solar wind plasma, only
the p-mode survives. These modes are found to be linearly unstable in wide-range of
the Jeans-normalized wavenumber, k. The local plane-wave approximation marginally
limits the validity or reliability of the obtained results in certain radial- and k-domains
only. The phase and group velocities, time periods of these
uctuation modes are in-
vestigated. It is interesting to note that, the oscillation time periods of these modes are
3-10 minutes, which match exactly with those of the observed helio-seismic waves and
solar surface oscillations. The proposed GES model provides a novel physical view of
the waves and oscillations of the Sun from a new perspective of plasma-wall interaction
physics. Due to simpli ed nature of the considered GES equilibrium, it is a neonatal
stage to highlight its applicability in the real Sun. The proposed GES model and
subsequent
fluctuation analysis need further improvements to make it more realistic.
