Inertia-induced Excitation Theory for Nonlinear Electrostatic Eigenmodes in Solar Plasma
We propose a simplified theoretical model to investigate the excitation of nonlinear electrostatic eigenmodes of the gravito-electrostatic sheath (GES) in the solar plasma system on the astrophysical scale for the first time. The lowest-order inertial correction of the plasma thermal electrons in quasi-neutral hydrodynamic plasma equilibrium is considered. We apply the ‘Jeans assumption of homogeneous plasma medium” in analytical simplification. A standard multiscale technique is applied on the coupled set of the solar structure equations in spherically symmetric geometry over the pre-defined GES equilibrium. A unique radial form of extended Burger (e-Burger) equation having a new self-consistent nonlinear sink is developed. Application of approximate tanh-method yields monotonous shocks. But, exact numerical integration shows nonmonotonous shock-like structures. They are damped oscillatory patterns due to the sink. The role and strength of the sink (arising due to electron inertia) are specifically highlighted. The obtained results are discussed and compared with the existing model predictions and the most reliable multispacecraft observational data available with us. Presented here are the main implications, relevant conclusions and future uplifting applicability on the nonlinear wave dynamics in the Sun, its mysterious atmosphere and like astrophysical environments within the judiciously inertia-modified gravito-eletrostatic and plasma-boundary coupling processes.
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