2003/06/30 by M. Marklund, Mattias Marklund, Prabhat Kumar Shukla +8 · 4 citations
Physics and Astronomy · #Astrophysics #Astrophysics and Cosmic Phenomena #Cosmology and Gravitation Theories #Dispersion (optics) #Dispersion relation #Instability #Modulational instability #Neutrino #Neutrino Physics Research #Nonlinear system #Particle physics #Physics #Quantum electrodynamics #Quantum mechanics #Semiclassical physics #Universe #astro-ph
paper · pdf · doi:10.1134/1.1787073
published in Journal of Experimental and Theoretical Physics 99(1), 9-18 (Pleiades Publishing) · 16 pages (extended and revised), 4 figures
arxiv created 2003/10/22 · openalex publication_date 2004/07/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Using a semiclassical approach, we analyze the collective behavior of neutrinos and antineutrinos in a dense background. Applying the Wigner transform technique, we show that the interaction can be modeled 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. Moreover, we investigate the modifications of the instability due to thermal effects. The results are examined, together with a numerical example, and we discuss the induced density inhomogeneities using parameters relevant to the early Universe.