Jeans Instability of Self Gravitating Dust Cloud in Presence of Effective Electrostatic Pressure

Abstract

The role of viscosity coefficient (η ′ ), coulomb coupling parameter (Γ) and dust mass on the growth of jeans mode is investigated in strongly coupled dusty plasma using equations of Generalized Hydrodynamics (GH) Model. The novel aspect of this work is that the force arising due to electrostatic pressure caused by grain grain interaction has been included in the dynamics of dust particles. This force is found to play a significant role in counter balancing the self gravity effect, thereby reducing the growth rate of jeans instability. The present work may provide more physical insight in understanding the mechanisms behind formation of planetesimals, stars etc.

Effect of ion drag on a pulsational mode of gravitational collapse

“…In the case of n  ¥ cn , the effect of ion drag on the PMGC has been discussed in detail by the dispersion relation equation (17). As shown in figure 3, the black solid line represents the case of n = 0 id , which is consistent with the growth rate proposed by Dwivedi when n  ¥ cn .…”

“…After this, a series of works about the Jeans instabilities in dusty plasma have been widely investigated. The effect of electrostatic pressure on the Jeans instability of self-gravitating dusty cloud has been researched by Bezbaruah [17]. The Jeans instabilities in quantum dusty plasma on the basis of quantum effects has also been examined by Shukla et al [18][19][20][21].…”

Gravitational instability of dark-baryonic matter systems in f (R) gravity

“…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.…”

Gravitational instability with dust charge gradient and ion drag forces in unmagnetized dusty plasma

“…The gravitational force is the main cause of star formation through the collapse of molecular clouds via gravitational instability [7]. The gravitational instability in dusty plasma is studied by many authors considering the effects of secondary electron emission from dust grain, dust charge fluctuation, polarization force, and strong coupling effects [8,9]. More recently, Dolai and Prajapati [10] have investigated the influence of charge gradient and polarization forces on the waves and Jeans instability in a strongly coupled dusty plasma.…”