Jeans self gravitational instability of strongly coupled quantum plasma

Abstract

The Jeans self-gravitational instability is studied for quantum plasma composed of weakly coupled degenerate electron fluid and non-degenerate strongly coupled ion fluid. The formulation for such system is done on the basis of two fluid theory. The dynamics of weakly coupled degenerate electron fluid is governed by inertialess momentum equation. The quantum forces associated with the quantum diffraction effects and the quantum statistical effects act on the degenerate electron fluid. The strong correlation effects of ion are embedded in generalized viscoelastic momentum equation including the viscoelasticity and shear viscosities of ion fluid. The general dispersion relation is obtained using the normal mode analysis technique for the two regimes of propagation, i.e., hydrodynamic and kinetic regimes. The Jeans condition of self-gravitational instability is also obtained for both regimes, in the hydrodynamic regime it is observed to be affected by the ion plasma oscillations and quantum parameter while in the kinetic regime in addition to ion plasma oscillations and quantum parameter, it is also affected by the ion velocity which is modified by the viscosity generated compressional effects. The Jeans critical wave number and corresponding critical mass are also obtained for strongly coupled quantum plasma for both regimes.

Magnetogravitational instability in strongly coupled rotating clumpy molecular clouds including heating and cooling functions

“…when average potential energy dominates the kinetic energy of the particles). Previous works include the effects of viscoelastic coefficients (Janaki et al 2011), electrical resistivity (Prajapati and Chhajlani 2013), rotation (Dhiman and Sharma 2014) and quantum corrections (Sharma and Chhajlani 2014) on the Jeans instability in strongly coupled viscoelastic fluid. Dhiman and Mahajan (2023) studied the gravitational instability in strongly coupled viscoelastic clumpy MCs considering dissipative effects.…”

Ion acoustic solitary and shock waves in strongly coupled degenerate plasma with relativistic effects

“…The applications of the obtained results are described in interior of white dwarf and estimates the coupling parameter G i ∼ 127 and 202 for = Z 6 and 8 respectively which shows c 1 e  and c 1. i  The formation of ionic structure takes place for the coupling parameter G 100 i  with the degenerate electrons in the interior of white dwarf. Sharma and Chhajlani [39] have studied the self-gravitational instability in quantum plasma considering the degenerate electrons and strongly coupled ion species using GH and QH model equations. Recently, Moldabekov et al [40] have investigated the structural properties of strongly coupled ion species considering the degenerate electrons in dense plasma.…”

Jeans instability of a rotating partially ionized and strongly coupled plasma with Hall current

“…Prajapati & Chhajlani (2013) have discussed the problem of a self-gravitational instability for a strongly coupled system considering the effect of finite electrical resistivity. Recently, Sharma & Chhajlani (2014) have studied the problem of Jeans instability in a quantum plasma. The effect of the polarization force on the Jeans instability has been discussed by Sharma (2014) in a magnetized, strongly coupled, dusty plasma.…”