Neutrino flux mixing in core-collapse supernova and Rayleigh-Taylor instability: A hydrodynamic approach

The Rayleigh-Taylor (R-T) instability plays a decisive role in the dynamics of many astrophysical objects, in particular, in the supernovae (SN) evolution. The neutrino flux emission in such systems can not be overlooked since they are the primary source of energy and momentum transfer. In this work, the influence of neutrino beam on the hydrodynamic R-T instability and internal wave are investigated using the hydrodynamic fluid description. The mixing of highly energetic and weakly interacting neutrinos in the electron-ion gravitating plasma is the mainly responsible to develop the R-T instability in the core collapse process of supernova. The neutrino beam submerged with the accelerating plasmas modifies the internal waves and onset criterion of linear R-T instability. The coupling of neutrino fluid with the gravitating plasma is analyzed using the neutrino magnetohydroynamic (NMHD) fluid model. The effects of neutrino beam on the internal waves and R-T instability are studied with the help of dispersion characteristics which are derived using the neutrino and plasma fluid equations.