# Modulational instabilities in neutrino-antineutrino interactions

@article{Marklund2004ModulationalII, title={Modulational instabilities in neutrino-antineutrino interactions}, author={Mattias Marklund and Padma Kant Shukla and Gerold Betschart and Lennart Stenflo and Dan Anderson and Mietek Lisak}, journal={Journal of Experimental and Theoretical Physics}, year={2004}, volume={99}, pages={9-18} }

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…

## 3 Citations

Wakefields generated by collisional neutrinos in neutral-electron-positron plasma

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A classical fluid description is adopted to investigate nonlinear interaction between an electron-type neutrino beam and a relativistic collisionless unmagnetized neutral-electron-positron plasma. In…

Modulation instability in a zigzag array of nonlinear waveguides with alternating positive and negative refractive indices

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- 2014

The modulation instability is analytically investigated in a zigzag array of tunnel-coupled optical waveguides with alternating refractive indices and Kerr nonlinearity. Particular solutions to a…

Observation of modulational instability in discrete media with self-defocusing nonlinearity.

- Physics, MedicineOptics letters
- 2006

It is reported that the first observation of modulation instability in the anomalous-diffraction regions of a photonic lattice is reported, and the results are confirmed numerically by simulating the nonlinear beam propagation.

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