Neutrino Driven Streaming Instabilities in a Dense Plasma

The nonlinear self-consistent propagation of neutrinos in a dense plasma is described using the relativistic kinetic equations for neutrinos and electrons. The general nonlinear dispersion relation for a neutrino fluid coupled with a plasma is derived. For scenarios close to realistic astrophysical conditions, neutrino driven streaming instabilities can develop, with growth rates which scale with the Fermi constant GF, thus leading to significant energy transfer from the neutrinos to the plasma.