The effect of dust charge-gradient and dust polarization forces on the Jeans instability in a collisional magnetized dusty plasma

Abstract

A theoretical investigation of Jeans instability has been done incorporating dust charge gradient and dust polarization forces in a collisional magnetized dusty plasma. The dispersion relation is derived using three fluid theory by employing Boltzmann distribution of ions and electrons and retaining the complete dynamics of positively charged dust. To signify the effects of each parameter on Jeans instability the obtained general dispersion relation is further deduced considering parallel and perpendicular modes of propagation. It has been analyzed analytically as well as numerically that the growth rate of gravitational instability decreases with simultaneous presence of charge gradient force, collision frequency, thermal velocity and external magnetic field, but increases with the dust polarization force. The existence of dust charge gradient force and dust polarization force (along with external magnetic field) have been found to improve the criterion for Jeans instability. The relevance of the work to the collapse of dusty clouds has been discussed.

Jeans analysis with κ-deformed Kaniadakis distribution in f (R) gravity

“…Next, we calculate the Jeans mass in ( ) f R gravity regime with κ-deformed Kaniadakis distribution. Let us putting ω = 0 into equation (14), one has the modified Jeans wave-number with κ-deformed Kaniadakis distribution…”

“…In recent decades, Jeans analysis play an important role in the explanation of the formation and evolution of gravitational structures, it has become a hot topic in the field of astrophysics [1][2][3][4][5][6], plasma physics [7][8][9][10][11][12][13][14][15][16], and complex fluid community [17][18][19]. In the self-gravitating system, Jeans wave-length and Jeans mass are important parameters to determine whether a system is stable or not, when the perturbations wave-length greater than Jeans wave-length or system mass exceed its Jeans mass, the system will become unstable and collapse due to its own gravitation [20].…”

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.…”

Dynamics of dust particles in the glow discharge stratum in crossed E × B field

“…[24][25][26] In the works of Barnat, [27] the properties of RF discharge in a perpendicular magnetic field were investigated. It should also mention the theoretical study [28][29][30][31][32] of the influence of weak transverse/longitudinal magnetic fields on the dynamics of dust structures.…”