The effect of spin induced magnetization on Jeans instability of viscous and resistive quantum plasma

Abstract

The effect of spin induced magnetization and electrical resistivity incorporating the viscosity of the medium is examined on the Jeans instability of quantum magnetoplasma. Formulation of the system is done by using the quantum magnetohydrodynamic model. The analysis of the problem is carried out by normal mode analysis theory. The general dispersion relation is derived from set of perturbed equations to analyse the growth rate and condition of self-gravitational Jeans instability. To discuss the influence of resistivity, magnetization, and viscosity parameters on Jeans instability, the general dispersion relation is reduced for both transverse and longitudinal mode of propagations. In the case of transverse propagation, the gravitating mode is found to be affected by the viscosity, magnetization, resistivity, and magnetic field strength whereas Jeans criterion of instability is modified by the magnetization and quantum parameter. In the longitudinal mode of propagation, the gravitating mode is found to be modified due to the viscosity and quantum correction in which the Jeans condition of instability is influenced only by quantum parameter. The other non-gravitating Alfven mode in this direction is affected by finite electrical resistivity, spin induced magnetization, and viscosity. The numerical study for the growth rate of Jeans instability is carried out for both in the transverse and longitudinal direction of propagation to the magnetic field. The effect of various parameters on the growth rate of Jeans instability in quantum plasma is analysed.

Low frequency waves and gravitational instability in homogeneous magnetized gyrotropic quantum plasma

“…[3][4][5][6] Goodman et al 7 have examined that the self-gravity plays a crucial role in the final stage of the star formation where dense cores (with size approximate 0.1 pc) inside molecular clouds collapse to form star-plus-disk system. The self-gravitation plays dominant role in many astrophysical systems viz., diffuse hydrogen clouds, diffuse molecular cloud and giant molecular clouds whose Jeans masses are, respectively, 795.13, 82.63, and 206.58 times of the solar mass.…”

Magnetoacoustic waves with effect of arbitrary degree of temperature and spin degeneracy in electron‐positron‐ion plasmas

“…[5] By employing quantum theory, the study of charge particles and plasmas has gained much attention in astrophysical environments (e.g. The effect of spin induced magnetization, viscosity, and finite resistivity on the Jeans instability of quantum magneto plasma have been studied by Sharma and Chhajlani [10] using the quantum magnetohydrodynamic model. [3] Cheng and Wu [6] derived the basic equations for spin-1/2 quantum electron plasmas by considering spin-orbit coupling effect.…”

“…They have found that the right hand circularly polarized wave with spin-effects exists for larger k-values as compared to the spinless case, before it damps completely when comparing cold and hot plasma regimes. The effect of spin induced magnetization, viscosity, and finite resistivity on the Jeans instability of quantum magneto plasma have been studied by Sharma and Chhajlani [10] using the quantum magnetohydrodynamic model. Shahid et al [11] investigated the parallel propagating EM waves in electron-positron plasma using non-relativistic spin quantum fluid theory, where it is shown that, Faraday rotation appears with the inclusion of spin effect of plasma species which is absent in usual electron-positron plasmas without spin effects.…”

Gravitational instability of rotating magnetized quantum anisotropic plasma

“…Sharma & Chhajlani (2013) studied the influence of finite Larmor radius (FLR) effects on the Jeans instability of an infinitely conducting homogeneous quantum plasma using a quantum magnetohydrodynamic (QMHD) model. The effect of spin-induced magnetization and electrical resistivity on the Jeans instability of a viscous quantum plasma was also examined by Sharma & Chhajlani (2014). Prajapati & Chhajlani (2014) discussed the effects of quantum corrections on the Jeans instability of self-gravitating viscoelastic quantum fluids.…”