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.

Analysis of hyperbolic magneto-hydrodynamic [HMHD] wave propagation through neutrino-coupled plasma

“…With various limiting cases, the present dispersion relation also satisfies previous research. If we ignore the effect of rotation and Hall current from the general dispersion relation (20), the derived result is similar to Sharma et al [7]. Further, in the absence of viscosity and resistivity effect, the illuminated result is similar to Prajapati [20].…”

“…Neutrino-driven instability is raised by the weak interaction of plasma electrons with a weekly charged neutrino beam, which propagates through a dense plasma system. Prajapati [20] have discussed the effect of neutrino beams on Jean's' gravitational instability in the MHD wave propagation system. Aftab et al [21] has been investigated the ion-neutral collision effect in plasma systems and neutrino beam-driven instability, in the presence of an oblique magnetic field for magneto-sonic waves.…”

Neutrino-driven Instability of Ion Acoustic Waves in an Ultrarelativistic Degenerate Plasma

“…It is a well-established fact that a massive star after exhausting all of its nuclear fuel contracts under its own gravitational pull until it reaches a stage when there is an abundance of iron nuclei as the major trace element and the electrons are relativistic as well as degenerate. Many theoretical and simulation studies (Connor 2015;Fröhlich et al 2018;Ott et al 2018) have investigated the neutrino-beam-driven instability mechanism responsible for a core-collapse supernova in a supernova progenitor.…”

Neutrino magnetohydrodynamic instabilities in presence of two-flavor oscillations

“…However, the theory was later advanced with an arbitrary direction of propagation [27]. Motivated by these works, the influence of intense neutrino beams on the hydrodynamic Jeans instability has been studied by Prajapati in a magnetized quantum plasma [28]. It turns out that the NMHD model has become very useful to establish connections between various astrophysical phenomena and neutrinoplasma coupling processes in magnetized media.…”