Modulational instabilities in neutrino--anti-neutrino interactions
Astrophysics
2008-11-26 v2
Abstract
We analyze the collective behavior of neutrinos and antineutrinos in a dense background. Using the Wigner transform technique, it is shown that the interaction can be modelled by a coupled system of nonlinear Vlasov-like equations. From these equations, we derive a dispersion relation for neutrino-antineutrino interactions on a general background. The dispersion relation admits a novel modulational instability. The results are examined, together with a numerical example, and we discuss the induced density inhomogeneities using parameters relevant to the early Universe.
Keywords
Cite
@article{arxiv.astro-ph/0306013,
title = {Modulational instabilities in neutrino--anti-neutrino interactions},
author = {Mattias Marklund and Padma K. Shukla and Gerold Betschart and Lennart Stenflo and Dan Anderson and Mietek Lisak},
journal= {arXiv preprint arXiv:astro-ph/0306013},
year = {2008}
}
Comments
16 pages (extended and revised), 4 figures