Poster Presentation

Influence of Neutrino Beam on The Jeans Instability in Magnetized Degenerate Dense Stars

Author(s): R P Prajapati (Department of Pure & Applied Physics, Guru Ghasidas Central University, Bilaspur-495009 (C.G.), India

Presenter: RAMPRASAD Prajapati (Guru Ghasidas Central University Bilaspur India)

The Jeans instability in cold dense Fermi degenerate magnetoplasma with propagation dynamics of intense neutrino beam is investigated particularly in the interior of white dwarfs, crust of neutron stars and supernovae. In these astrophysical systems plasma is extremely dense and highly degenerate through which intense fluxes of neutrino beam propagates and affects the Jeans instability. The dynamics of gravitating and magnetized electron-ion Fermi plasma modified by quantum corrections and weakly interacting neutrinos are propounded using the modified neutrino magnetohydrodynamics (NMHD) model. The dispersion relation is derived using the standard perturbation analysis performing Fourier transform in the low frequency regime and Jeans instability as well as fast neutrino-driven short wavelengths instability are analyzed. It is observed that quantum corrections and neutrino beam effects modify the dispersion relation and growth rate
of neutrino beam instability and Jeans instability. For the ultra-relativistic neutrinos the Jeans instability is independent of neutrino beam effect but the dispersion relation of Jeans instability is modified indirectly due to neutrino beam energy and neutrino density. The presence of magnetic field, quantum diffraction parameter and neutrino beam effect have stabilizing influence on the growth rate of Jeans instability. The consequences of neutrino-beam interaction with magnetized, gravitating Fermi plasma have been addressed in core collapse supernovae and white dwarfs.