English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We discuss complete theory of spin-1/2 electron-positron quantum plasmas,when electrons and positrons move with velocities mach smaller than the speedof light. We derive a set of two fluid quantum hydrodynamic equationsconsisting of the continuity, Euler, spin (magnetic moment) evolution equationsfor each species. We explicitly include the Coulomb, spin-spin, Darwin andannihilation interactions. The annihilation interaction is the main topic ofthe paper. We consider contribution of the annihilation interaction in thequantum hydrodynamic equations and in spectrum of waves in magnetizedelectron-positron plasmas. We consider propagation of waves parallel andperpendicular to an external magnetic field. We also consider obliquepropagation of longitudinal waves. We derive set of quantum kinetic equationsfor electron-positron plasmas with the Darwin and annihilation interactions. Weapply the kinetic theory for the linear wave behavior in absence of externalfields. We calculate contribution of the Darwin and annihilation interactionsin the Landau damping of the Langmuir waves. We should mention that theannihilation interaction does not change number of particles in the system. Itdoes not related to annihilation itself, but it exists as a result ofinteraction of an electron-positron pair via conversion of the pair intovirtual photon. A pair of the non-linear Schrodinger equations forelectron-positron plasmas including the Darwin and annihilation interactions.Existence of conserving helicity in electron-positron quantum plasmas ofspinning particles with the Darwin and annihilation interactions isdemonstrated. We show that annihilation interaction plays an important role inquantum electron-positron plasmas giving contribution of the same magnitude asthe spin-spin interaction.

physics of plasmas

Hydrodynamic and kinetic models for spin-1/2 electron-positron quantum  plasmas: Annihilation interaction, helicity conservation, and wave dispersion  in magnetized plasmas