Neutrino kinetics in a magnetized dense plasma

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 ($\sim c_A$) 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.Comment: 20 pages, no figures, added subsection 2.3 about the lepton current conservation, to be published in Astroparticle Physic

Lepton magnetohydrodynamics in Standard Model of electroweak interactions

“…Now using the electron RKE Eq. (30) from [4] we can generalize the Euler equation for electrons and positrons (2.6) for the case of a polarized medium,…”

“…We start from the simple case of unpolarized (isotropic) plasma and in the next subsection we derive MHD using RKE's in a magnetized plasma [4].…”

“…in SM [3,4] that is more approppriate to describe both classical and spin properties of polarized plasmas permiated by an external magnetic field.…”

“…to neutrino driven streaming instability of plasma waves in an isotropic plasma [5] or instability of spin waves in a polarized medium [4], and to the generation of magnetic fields in hot plasma of early universe [2,6].…”

Spin-Gradient-Driven Light Amplification in a Quantum Plasma

“…Much effort has been put into finding new instabilities driven by spin in low-frequency and electrostatic modes in the magnetized plasma regime [14,[16][17][18][19]. However, in most calculations (with a few exceptions [20][21][22]), spin is not considered as a dynamical variable. Instead, only its thermodynamical ensemble properties were used for the definition of the magnetization current.…”