Hydrodynamic and kinetic models for spin-1/2 electron-positron quantum plasmas: Annihilation interaction, helicity conservation, and wave dispersion in magnetized plasmasстатья
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Дата последнего поиска статьи во внешних источниках: 11 августа 2015 г.
Аннотация:We discuss the complete theory of spin-1/2 electron-positron quantum plasmas, when electrons and
positrons move with velocities mach smaller than the speed of light. We derive a set of two fluid
quantum hydrodynamic equations consisting of the continuity, Euler, spin (magnetic moment) evolution
equations for each species. We explicitly include the Coulomb, spin-spin, Darwin and annihilation
interactions. The annihilation interaction is the main topic of the paper. We consider the
contribution of the annihilation interaction in the quantum hydrodynamic equations and in the spectrum
of waves in magnetized electron-positron plasmas. We consider the propagation of waves parallel
and perpendicular to an external magnetic field. We also consider the oblique propagation of
longitudinal waves. We derive the set of quantum kinetic equations for electron-positron plasmas
with the Darwin and annihilation interactions. We apply the kinetic theory to the linear wave
behavior in absence of external fields. We calculate the contribution of the Darwin and annihilation
interactions in the Landau damping of the Langmuir waves. We should mention that the annihilation
interaction does not change number of particles in the system. It does not related to annihilation
itself, but it exists as a result of interaction of an electron-positron pair via conversion of the
pair into virtual photon. A pair of the non-linear Schrodinger equations for the electron-positron
plasmas including the Darwin and annihilation interactions is derived. Existence of the conserving
helicity in electron-positron quantum plasmas of spinning particles with the Darwin and annihilation
interactions is demonstrated. We show that the annihilation interaction plays an important role
in the quantum electron-positron plasmas giving the contribution of the same magnitude as the
spin-spin interaction.