Nonlinear waves in bipolar complex viscous astroclouds

Karmakar, Pralay Kumar; Haloi, A.

doi:10.1007/s10509-017-3067-2

Cited by 15 publications

(25 citation statements)

References 25 publications

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“…As a result, it can be inferred that md acts as a destabilizing agency to the PMGC evolutionary dynamics. This is against the previous result reported for a viscoelastic cloud configuration [21], where md acts as a stabilizing agency to the PMGC evolutionary dynamics…”

Section: Resultssupporting

confidence: 56%

“…The various lines link to md = 2×10 -8 g (red, solid line), md = 3×10 -8 g (blue, dashed line), and md = 4×10 -8 g (black, dotted line), respectively. The different parametric input values for the numerical analysis adopted from reliable astronomical literature [5,6,[16][17][18][19][20][21][22][23] used here are me = 9.1×10 -28 g, mi = 1.67×10 -24 g, ne0 = 1×10 6 cm -3 , ni0 = 5×10 6 cm -3 , ndn0 = 4 cm -3 , ndc0 = 2 cm -3 , Te≃Ti≃1 eV, Td ≃ 2×10 -2 eV, and Zd= 100. It is interestingly seen that the real frequency part (Figs.…”

Section: Resultsmentioning

confidence: 99%

“…The electro-gravitational potential distributions sourced in the charge and material density fields of the constituent particles are described by the corresponding Poisson equations [5,6,[20][21][22] given in the customary notations respectively as  …”

Section: Physical Model and Mathematical Formalismmentioning

confidence: 99%

“…The frictional coupling of the gravitational attraction (inwards) and electrostatic repulsion (outwards) of the massive charged grains constituting the DMCs gives rise to a new mode of the Jeans condensation, termed as the pulsational mode of gravitational collapse (PMGC), which is a purely hybrid mode composed of the gravitoelectrostatic degrees of freedom [5,6]. The PMGC dynamics has been extensively studied in the framework of multicomponent fluid model formalisms only in different astronomical circumstances [5,6,[20][21][22][23][24][25]. In the recent past, the hybrid instability dynamics excitable in a strongly coupled magnetized self-gravitating conducting dusty plasma system has been investigated [15].…”

Section: Introductionmentioning

confidence: 99%

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A kinetic theory of the pulsational mode of gravitational collapse in star-forming molecular clouds

Challam

Karmakar

2021

Preprint

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A kinetic theory formulation of the pulsational mode of gravitational collapse (PMGC) in a complex unmagnetized self-gravitating partially ionized dense molecular cloud (DMC) is proposed. Applying a linear normal mode analysis, a quintic linear dispersion relation with a unique set of multi-parametric plasma-dependent coefficients is obtained. The reliability of the calculation scheme is validated in light of the various predictions available in the literature. It is then numerically analyzed in the parametric windows of judicious realistic input values. Our results indicate that the dust mass, equilibrium electron density, and equilibrium ion density act as destabilizing agencies to the PMGC evolution. In contrast, the dust charge number, equilibrium dust density, and dust temperature act as stabilizing agencies. The oscillatory and propagatory features of the PMGC are illustratively explained and comparatively validated in accordance with the observed astrophysical scenarios. This paper ends up with a brief highlight of the non-trivial implications and applications of the results actualizable in the self-gravitational collapse mechanism leading to varied structure formation processes in the mysterious astrocosmic universe.

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Section: Resultssupporting

confidence: 56%

Section: Resultsmentioning

confidence: 99%

Section: Physical Model and Mathematical Formalismmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A kinetic theory of the pulsational mode of gravitational collapse in star-forming molecular clouds

Challam

Karmakar

2021

Preprint

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“…widely studied in different hydrodynamic conditions using both analytical [4][5][6][7][8][9][10][11][12][13] and numerical [14] techniques. The excitation of electrostatic compressive shock-like structures and gravitational rarefactive solitary waves of astronomical relevancy has been illustratively addressed and reported [3,4].…”

mentioning

confidence: 99%

Solitary-train dynamics in viscoelastic nonthermal astroplasmas

Chakraborty¹,

Karmakar²

2018

EPL

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The nonlinear fluctuation dynamics in a self-gravitating nonthermal viscoelastic complex fluid is semi-analytically investigated. It considers the thermostatistical κ-distribution law for the weakly coupled lighter constitutive particles against the strongly coupled heavier constituents treated as a complex viscoelastic fluid. A multi-scale analysis reduces the fluid equations into a Korteweg-de Vries (KdV) equation with a unique set of multiparametric coefficients. It reveals excitations of solitary trains of unique interesting patterns. A further confirmation about the eigen-structures is provided with the help of phase-plane analysis. It is specifically shown that the thermostatistical power-law exponent (κ) acts as a destabilizing source for the nonthermal plasma fluids against the gravitational collapse in all the diversified conditions, and so forth. Different characteristic features of the patterns in different thermodynamical conditions are discussed together with a synoptic indication to applicability scope.

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Viscoelastic pulsational mode

Dutta

Karmakar

2017

Astrophys Space Sci

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Nonlinear waves in bipolar complex viscous astroclouds

Cited by 15 publications

References 25 publications

A kinetic theory of the pulsational mode of gravitational collapse in star-forming molecular clouds

A kinetic theory of the pulsational mode of gravitational collapse in star-forming molecular clouds

Solitary-train dynamics in viscoelastic nonthermal astroplasmas

Viscoelastic pulsational mode

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