Analysis of Jeans instability of optically thick quantum plasma under the effect of modified Ohms law

Jeans gravitational instability of a magnetized rotating collision-less anisotropic plasma using generalized laws of double polytropy

“…For an infinite interstellar self-gravitating homogeneous cloud Jeans (1902) [1] obtained the criterion of gravitational instability, according to which the gas medium becomes unstable to vibrational perturbations of a wavelength exceeding a certain critical length, known as the Jeans length. In numerous subsequent publications, this result was extended to magnetized plasma both on the basis of the MHD equations for an ideal plasma (see, for example, [2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]) and with the use of the single-fluid Chu-Goldberger-Low (CHL) hydromagnetic equations [19] with an aniso-Vol LIV (2022) 10.20948/mathmontis-2022-54-7 tropic pressure tensor using the double adiabatic equation of state [20][21][22][23][24][25][26][27]. In particular, various instabilities in interplanetary space plasma, for example, in the magnetosphere and planet plasma sphere, in stellar accretion disks, have been studied using the CHGL equations, taking into account the Hall current, pulsating viscous and radiative stress tensors, the effects of radiative heat conduction, magnetic field heterogeneity, etc.…”