Stability analysis of the Gravito-Electrostatic Sheath-based solar plasma equilibrium

Karmakar, Pralay Kumar; Goutam, H. P.; Lal, M.; Dwivedi, C. B.

doi:10.1093/mnras/stw1174

Cited by 18 publications

(36 citation statements)

References 24 publications

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“…11. The analytic technique developed can further be extended to see the nonlinear saturation mechanisms of the normal helio-seismic modes from a new viewpoint of the gravito-electrostatic sheath (GES) model for the non-uniform multi-species solar plasmas [37].…”

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confidence: 99%

Nonlinear Waves in Nonuniform Complex Astrocloud

Haloi

Karmakar

2016

Contrib. Plasma Phys.

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The global nonlinear gravito‐electrostatic eigen‐fluctuation behaviors in large‐scale non‐uniform complex astroclouds in quasi‐neutral hydrodynamic equilibrium are methodologically analyzed. Its composition includes warm lighter electrons, ions; and massive bi‐polar multi‐dust grains (inertial) with partial ionization sourced, via plasma‐contact electrification, in the cloud plasma background. The multi‐fluidic viscous drag effects are conjointly encompassed. The naturalistic equilibrium inhomogeneities, gradient forces and nonlinear convective dynamics are considered without any recourse to the Jeans swindle against the traditional perspective. An inho‐mogeneous multiscale analytical method is meticulously applied to derive a new conjugated non‐integrable coupled (via zeroth‐order factors) pair of variable‐coefficient inhomogeneous Korteweg de‐Vries Burger (i ‐KdVB) equations containing unique form of non‐uniform linear self‐consistent gradient‐driven sinks. A numerical illustrative scheme is procedurally constructed to examine the canonical fluctuations. It is seen that the eigenspectrum coevolves as electrostatic rarefactive damped oscillatory shock‐like structures and self‐gravitational compressive damped oscillatory shock‐like patterns. The irregular damping nature is attributable to the i ‐KdVB sinks. The aperiodicity in the hybrid rapid small downstream wavetrains is speculated to be deep‐rooted in the quasi‐linear gravito‐electrostatic interplay. The phase‐evolutionary dynamics grow as atypical non‐chaotic fixed‐point attractors. We, finally, indicate tentative astronomical applications relevant in large‐scale cosmic structure formation aboard facts and faults. (© 2016 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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confidence: 99%

Nonlinear Waves in Nonuniform Complex Astrocloud

Haloi

Karmakar

2016

Contrib. Plasma Phys.

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“…The SIP and SWP are coupled through a thin diffused concentric GES-based nonrigid solar surface boundary (SSB). It is noted that, unlike the laboratory-produced plasmas, the solar self-gravitationally confined plasmas are indeed radially inhomogeneous and non-uniform in nature due to inherent microphysical irregularities and non-uniformities in various forms (Karmakar et al 2016). The solar self-gravitational wall strength has the maximum value at the SSB, as already well described by the gravitational Poisson formalism (Karmakar & Dwivedi 2011).…”

Section: Introductionmentioning

confidence: 84%

“…The initial distribution is presumed to uphold a hydrostatic homogeneous quasi-neutral equilibrium configuration on the spatiotemporal scales of current astronomical interest. The global quasi-neutral nature (N e % N i ¼ N) of the entire solar plasma system as a direct outcome of the electrostatic Poisson formalism is justifiable on the realistic grounds that the asymptotic value of the Debye-to-Jeans scale length ratio is almost zero (k De =k J $ 10 À20 , (Dwivedi et al 2007;Karmakar & Dwivedi 2011;Gohain & Karmakar 2015;Karmakar et al 2016)). The application of the gravitational Poisson equation in our model analysis is reliably validated due to the fact that the Sun (SIP) formed via the Jeansean dynamic molecular cloud collapse (Stix 1991;Priest 2014) continues dynamically to remain as a self-gravitating fireball system at any time in nature through the so-called virial conditions for the initiation of the structure formation (Gohain & Karmakar 2018;Vidotto 2021).…”

Section: Physical Model Formalismmentioning

confidence: 99%

“…The GES model has been able to successfully explain several important problems related to the equilibrium (Dwivedi et al 2007;Karmakar & Dwivedi 2011; as well as fluctuation (Karmakar et al 2016;Gohain & Karmakar 2018) dynamics of the entire solar plasma system. Incorporating hydrodynamic turbulence as an important factor, a study of the equilibrium properties of the GES-based solar plasma in the presence of turbu-magnetic effects (arising from the joint action of turbulence and magnetic pressure) has recently been reported .…”

Section: Introductionmentioning

confidence: 99%

“…It is to be noted herewith that the above investigative works are indeed founded on the traditional quasiclassic approximation of short-wavelength perturbations (plane waves) (Karmakar et al 2016) with no plasma polytropic assumption invoked. As a consequence, the said results need to be refined in light of the realistic dynamical factors remaining usually excluded for the sake of analytic simplicity.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Non-planar magnetoactive GES-based solar plasma stability

DAS

Karmakar

2022

J Astrophys Astron

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A laboratory plasma-wall interaction-based astrophysical gravito-electrostatic sheath (GES) model is methodologically applied to study the dynamic stability of the magnetoactive bi-fluidic solar plasma system in the presence of turbulence effect. The spherically symmetric GES-model formalism couples the solar interior plasma (SIP, internally self-gravitating, bounded) and the solar wind plasma (SWP, externally point-gravitating, unbounded) through the diffused solar surface boundary (SSB). A normal spherical mode ansatz results in a generalized linear quadratic dispersion relation depicting the modal fluctuations on both the SIP and SWP scales. A constructive numerical platform reveals the evolution of both dispersive and nondispersive modal features of the modified-GES mode excitations. The reliability of the derived non-planar dispersion laws is concretized with the help of an exact analytic shape matching the previously reported results founded on the plane-wave approximation. It is found that the thermo-statistical GES stability depends mainly on the magnetic field, equilibrium plasma density and plasma temperature. It is speculated that the dispersive features are more pronounced in the self-gravitational domains against the electrostatic ones. The magneto-thermal interplay introduces decelerating (accelerating) and destabilizing (stabilizing) influences on the SIP (SWP), and so forth. At last, we briefly indicate the applicability of the proposed analysis to understand diverse helioseismic activities from the collective plasma dynamical viewpoint in accordance with the recent astronomical observational scenarios reported in the literature.

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Turbulent Gravito-Electrostatic Sheath (GES) Structure with Kappa-Distributed Electrons for Solar Plasma Characterization

Goutam

Karmakar

2017

Sol Phys

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Stability analysis of the Gravito-Electrostatic Sheath-based solar plasma equilibrium

Cited by 18 publications

References 24 publications

Nonlinear Waves in Nonuniform Complex Astrocloud

Nonlinear Waves in Nonuniform Complex Astrocloud

Non-planar magnetoactive GES-based solar plasma stability

Turbulent Gravito-Electrostatic Sheath (GES) Structure with Kappa-Distributed Electrons for Solar Plasma Characterization

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