Neutrino kinetics in a magnetized dense plasma
arXiv:hep-ph/0103176 · doi:10.1016/S0927-6505(02)00125-1
Abstract
The relativistic kinetic equations (RKE) for lepton plasma in the presence of a strong external magnetic field are derived in Vlasov approximation. The new RKE for the electron spin distribution function includes the weak interaction with neutrinos originated by the axial vector current () and provided by the parity nonconservation. In a polarized electron gas Bloch equation describing the evolution of the magnetization density perturbation is derived from the electron spin RKE being modified in the presence of neutrino fluxes. Such modified hydrodynamical equation allows to obtain the new dispersion equation in a magnetized plasma from which the neutrino driven instability of spin waves can be found. It is shown that this instability is more efficient e.g. in a magnetized supernova than the analogous one for Langmuir waves enhanced in an isotropic plasma.
20 pages, no figures, added subsection 2.3 about the lepton current conservation, to be published in Astroparticle Physics
References in corpus (5)
Cited by in corpus (6)
- Large-scale magnetic field generation by alpha-effect driven by collective neutrino-plasma interaction
- Kinetic analysis of spin current contribution to spectrum of electromagnetic waves in spin-1/2 plasma, Part I: Dielectric permeability tensor for magnetized plasmas
- Dielectric permeability tensor and linear waves in spin-1/2 quantum kinetics with non-trivial equilibrium spin-distribution functions
- Extraordinary SEAWs under influence of the spin-spin interaction and the quantum Bohm potential
- Nonconservation of lepton current and asymmetry of relic neutrinos
- Generation of the relic neutrino asymmetry in a hot plasma of the early Universe