Influence of quantum radiative pressure on Jeans instability with electrical resistivity and Hall current

EasyChair Preprint 2076

Abstract

The influence of quantum radiative pressure and electrical resistivity incorporating the Hall current is studied on the Jeans instability of magnetized plasma. The basic equation of the problem is constructed and linearized by using the QMHD model. The general dispersion relation is derived using a normal mode technique and discussed in the parallel and perpendicular propagation. In the case of longitudinal propagation, the Jeans instability is modified due to quantum radiative pressure but is unaffected by electrical resistivity and Hall current. While in transverse propagation the electrical resistivity is modifying the growth rate of instability. In the graphical presentation, we found that the electrical resistivity has destabilizing influence but the presence of a quantum parameter is reduced the destabilizing effect of electrical resistivity in the system. The result is relevant to understanding many astrophysical problems.

Keyphrases: Hall current, Quantum correction, Radiative heat-loss function, electrical resistivity, magnetic field.

@booklet{EasyChair:2076,
  author    = {Devilal Sutar and Ram Kumar Pensia},
  title     = {Influence of quantum radiative pressure on Jeans instability with electrical resistivity and Hall current},
  howpublished = {EasyChair Preprint 2076},
  year      = {EasyChair, 2019}}