Jeans instability in collisional strongly coupled dusty plasma with radiative condensation and polarization force

Abstract

The influence of dust-neutral collisions, polarization force, and electron radiative condensation is analysed on the Jeans (gravitational) instability of partially ionized strongly coupled dusty plasma (SCDP) using linear perturbation (normal mode) analysis. The Boltzmann distributed ions, dynamics of inertialess electrons, charged dust and neutral particles are considered. Using the plane wave solutions, a general dispersion relation is derived which is modified due to the presence of dust-neutral collisions, strong coupling effect, polarization force, electron radiative condensation, and Jeans dust/neutral frequencies. In the long wavelength perturbations, the Jeans instability criterion depends upon strong coupling effect, polarization interaction parameter, and thermal loss, but it is independent of dust-neutral collision frequency. The stability of the considered configuration is analysed using the Routh–Hurwitz criterion. The growth rates of Jeans instability are illustrated, and stabilizing influence of viscoelasticity and dust-neutral collision frequency while destabilizing effect of electron radiative condensation, polarization force, and Jeans dust-neutral frequency ratio is observed. This work is applied to understand the gravitational collapse of SCDP with dust-neutral collisions.

Effect of Finite Ion Larmor Radius (FLR) Corrections on Thermal Instability of Rotating Radiative Porous Astrophysical Plasma in Interstellar Medium (ISM)

“…This dispersion relation ( 27) is alike to that obtained by Prajapati et al [11] without self-gravitation, viscosity, or electron inertia in their instance, in the absence of FLR corrections. There are two independent elements in equation (27).…”

“…Dispersion relation (28) for the non-gravitating case becomes Aggarwal & Talwar [3] when FLR adjustments are ignored. Dispersion relation (28) for the non-gravitating case and in their instance, in the nonattendance of FLR corrections, is the same as Prajapati et al [11] dispersion relation. When the constant term in equation ( 28) is smaller than zero, at least one positive real root is permissible, which correlates to the system's instability.…”

“…In the nonattendance of thermal conductivity and the radiative heat-loss function, the general dispersion relation (25) is the same as Sharma [33] for nongravitating example. The generic dispersion relation (25) decreases to Prajapati et al [11] in the absence of FLR corrections, ignoring Hall current, electron inertia, self-gravitation, and viscosity in their situation. The general dispersion relation ( 25) is equal to Kaothekar & Chhajlani [19] disregarding viscosity and self-gravitation in their instance, if we disregard the influence of rotation.…”

“…When the rotation equation is absent, condition (57) of Kaothekar & Chhajlani [19] for the non-gravitating situation has the same meaning as (29) in this instance. For the non-gravitating situation, equation ( 29) is equal to equation (45) of Prajapati et al [11] if the radiative heat-loss function and FLR corrections are removed. Therefore, we rotate the result of Kaothekar & Chhajlani [19] and FLR-correct the result of Prajapati…”

Impacts of Rotation Radiative Heat-loss Functions Porosity with FLR Corrections on Transverse Thermal Instability of Finitely Conducting Plasma in Interstellar Medium (ISM)

“…Indeed, when the gravitational energy of initially homogeneous plasma is relatively small, the solar prominences [Tandberg-Hanssen (1974); Priest (1989)] and many types of interstellar clouds [Spitzer (1978); Hollenbach & Thronson (1987); & Burton et al (1992)] are formed by the process of thermal condensation. Thermal instability has been explored by numerous researchers for more than seven decades in astrophysical objects and plasma physics applications [Aggarwal & Talwar (1969); Bora & Talwar (1993); Fukue & Kamaya (2007); Prajapati et al (2010); ; Sharma & Jain (2016); Prajapati et al (2016)]. Kaothekar (2018) has examined the thermal instability of partially ionized viscous plasma with Hall effect FLR corrections flowing through porous medium.…”