Influence of neutrino beam on the Jeans instability in a magnetized quantum plasma

Abstract

The influence of propagation dynamics of intense neutrino beams on the hydrodynamic Jeans instability in a magnetized quantum plasma is investigated. The dynamics of a self-gravitating, magnetized electron-ion quantum plasma weakly interacting with neutrinos are considered in a neutrino magnetohydrodynamic model. The modified dispersion relations of Jeans instability and fast neutrino-driven short wavelength instability are established using a linear perturbation method. In oblique propagation, the Jeans instability condition is modified due to the presence of neutrino beam effects, whereas no effect was observed in parallel and perpendicular propagations. The neutrino beam density stabilizes, while the free energy of the neutrino beam destabilizes the growth rate of Jeans instability. The estimated Jeans time scale is comparable to the time scale of supernova explosion. The time scale of neutrino beam instability is much shorter than the Jeans time scale which results in faster neutrino mixing in the gravitational collapse of the system. The consequences of neutrino beam interactions with a magnetized, self-gravitating quantum plasma have been addressed in astrophysical environments.