2019
DOI: 10.1088/1402-4896/ab1cc6
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Jeans surface instability of an electron-ion plasma

Abstract: The dispersive properties of Jeans surface instability at a charged plane interface of weakly coupled, classical self-gravitating, magnetized electron-ion plasma and vacuum, are investigated. The general dispersion relation is formulated by employing  one fluid magnetohydrodynamic (MHD) model and Poisson’s equations for both electrostatic and gravitational potentials. It is shown that both the surface charge and  mass density fluctuations are coupled  together effectively, to enhance the growth rate of  surfac… Show more

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Cited by 5 publications
(7 citation statements)
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“…First of all, let us focus on the critical Jeans wave-number when the system collapses. Substitute ω = 0 and α = 1 into equation (12), one can obtain Jeans wave-number ( ) k J bd 2 for self-gravitating systems containing dark matter in ( ) f R gravity, ( )…”
Section: Jeans Mass Limit In Dark-baryonic Matter Systems With κ-Defo...mentioning
confidence: 99%
See 1 more Smart Citation
“…First of all, let us focus on the critical Jeans wave-number when the system collapses. Substitute ω = 0 and α = 1 into equation (12), one can obtain Jeans wave-number ( ) k J bd 2 for self-gravitating systems containing dark matter in ( ) f R gravity, ( )…”
Section: Jeans Mass Limit In Dark-baryonic Matter Systems With κ-Defo...mentioning
confidence: 99%
“…The formation of stars and planets is one of the most basic problems, and also one of the current research hotspots in astrophysics. Jeans analysis is the key to explain the formation and evolution of self-gravitating structures, has become a hot topic in the field of astrophysics [1][2][3][4][5][6][7][8][9], plasma physics [10][11][12][13][14][15][16][17][18][19], and complex fluid community [20][21][22]. Systems where the mutual gravitation exceeds any other external forces are called selfgravitating systems [23], in the self-gravitating system, if its own thermal pressure is insufficient to resist its gravity, the system will become unstable and collapse due to its own gravitation.…”
Section: Introductionmentioning
confidence: 99%
“…Interestingly, most of the work encountered in the literature addresses gravitational collapse as the main cause of contraction of astrophysical objects due to the increased gravity among dense and massive particles, while the mechanism of gravitational collapse due to surface oscillations was only pointed out recently (Rozina et al. 2019; Ruby et al. 2020).…”
Section: Introductionmentioning
confidence: 99%
“…In this paper, we shall adopt the model presented by Rozina et al. (2019), considering the dispersive properties of surface waves on the interface between gravitational radiative plasma and vacuum, on account of the pressure relation (1.3), assuming an incompressible plasma density and variable (inhomogeneous) temperature. As the basis for our study, we shall use an incompressible radiative electron–ion plasma subject to gravitational and magnetic fields in addition to temperature inhomogeneity.…”
Section: Introductionmentioning
confidence: 99%
“…By following one fluid magnetohydrodynamic (MHD) model, the gravity SWs were investigated in Tsintsadze et al (2007), to discuss the surface charge instability at the interface of a dusty cloud and vacuum. More recently, gravity SWs at the interface of an incompressible electron–ion plasma and a vacuum were discussed in Rozina et al (2019), to show that both surface charge and surface gravitational oscillations are coupled together to address star formation through the surface Jeans instability. It was determined in these papers that the one fluid MHD approximation does not hold (Tsintsadze 1998) in the presence of a large gradient in surface charge density, especially on the surface between plasma and vacuum due to the fact that the thermal speed of electrons is much larger than that of ions and dust, so electrons are the most favourable candidate to diffuse on the surface, thus disturbing the electrical neutrality of the plasma.…”
Section: Introductionmentioning
confidence: 99%