Neutrino-driven instabilities in very dense plasmasL. A. Rios1, P. K. Shukla1 and A. Serbeto2
1 Institut für Theoretische Physik IV, Ruhr-Universität Bochum - D-44780 Bochum, Germany
2 Instituto de Física, Universidade Federal Fluminense - 24210-340, Rio de Janeiro, Brazil
received 29 June 2007; accepted in final form 7 September 2007; published November 2007
published online 28 September 2007
Nonlinear interactions between intense neutrino bursts and electrostatic plasma oscillations in a very dense Fermi plasma are considered. By using the fluid description for intense neutrino bursts and the quantum hydrodynamic model for a dense Fermi plasma, we derive a system of equations that exhibit nonlinear couplings between neutrinos and electrostatic electron plasma waves/ion-acoustic oscillations. The latter incorporate the appropriate electron pressure law and the quantum force involving the strong electron density correlation in a dense Fermi plasma. The governing equations are Fourier transformed and combined to deduce the dispersion relations, which admit instabilities. It is found that for dense Fermi plasmas under extreme conditions, such as those in the interior of massive white dwarfs, the neutrino driven electrostatic instabilities develop rapidly, and they can be responsible for the neutrino energy absorption in dense astrophysical Fermi plasmas.
52.35.Mw - Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.).
71.10.Ca - Electron gas, Fermi gas.
97.20.Rp - Faint blue stars (including blue stragglers), white dwarfs, degenerate stars, nuclei of planetary nebulae.
© Europhysics Letters Association 2007