Modulational instabilities in neutrino--anti-neutrino interactions

Details Modulational instabilities in neutrino--anti-neutrino interactions Modulational instabilities in neutrino--anti-neutrino interactions

2003-05-31

arxiv.org/abs/astro-ph/0306013v2

J.Exp.Theor.Phys.99:9-18,2004; Zh.Eksp.Teor.Fiz.99:14-25,2004

Astronomy and Astrophysics

Astrophysics

16 pages (extended and revised), 4 figures

Scientific paper

10.1134/1.1787073

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.

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