Eigenwaves in a two-component system of particles with nonzero magnetic moments

Andreev, Pavel A.; Kuz'menkov, L. S.

doi:10.3103/s0027134907050013

Cited by 36 publications

(86 citation statements)

References 4 publications

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“…[7] (the formula before formula (16)) and [32]. It was found that in electron-ion plasmas there are two spin-plasma waves located near the electron cyclotron frequency and ion cyclotron frequency [4]. Since module of the cyclotron frequencies of electrons and positrons equal to each other we have found one spin-plasma wave for electron-positron plasmas.…”

Section: Dispersion Of Waves Propagating Perpendicular To the Extmentioning

confidence: 89%

“…Misra et al [31], Andreev and Kuz'menkov [32], [38] for the spinplasma waves propagating parallel to an external magnetic field, spin waves in quantum plasmas propagating due to perturbations of magnetic field with no contribution of electric field in the wave propagation were considered in Refs. [4], [32], new branches of wave related to spin-current evolution were found in Refs. [26] and [39].…”

Section: Introductionmentioning

confidence: 99%

“…[4] (see formula 8). The last term in formula (52) is the contribution of spin (equilibrium magnetization).…”

Section: Dispersion Of Waves Propagating Perpendicular To the Extmentioning

confidence: 99%

“…These new spin-plasma waves were found in several papers, see Refs. Vagin et al [29], Andreev and Kuz'menkov [4], Brodin et al [30] for the spin-plasma waves propagating perpendicular to an external magnetic field, see Refs. Misra et al [31], Andreev and Kuz'menkov [32], [38] for the spinplasma waves propagating parallel to an external magnetic field, spin waves in quantum plasmas propagating due to perturbations of magnetic field with no contribution of electric field in the wave propagation were considered in Refs.…”

Section: Introductionmentioning

confidence: 99%

“…Since then various wave phenomenon have been studied for spin-1/2 quantum plasmas [4], [5], [7], [8], [28]- [37]. Presence of spin induces the spin-spin interaction via the magnetic field created by magnetic moments [2].…”

Section: Introductionmentioning

confidence: 99%

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

Andreev

2015

Physics of Plasmas

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We discuss 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 contribution of the annihilation interaction in the quantum hydrodynamic equations and in spectrum of waves in magnetized electron-positron plasmas. We consider propagation of waves parallel and perpendicular to an external magnetic field. We also consider oblique propagation of longitudinal waves. We derive set of quantum kinetic equations for electron-positron plasmas with the Darwin and annihilation interactions. We apply the kinetic theory for the linear wave behavior in absence of external fields. We calculate 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 electron-positron plasmas including the Darwin and annihilation interactions. Existence of conserving helicity in electron-positron quantum plasmas of spinning particles with the Darwin and annihilation interactions is demonstrated. We show that annihilation interaction plays an important role in quantum electron-positron plasmas giving contribution of the same magnitude as the spin-spin interaction.

show abstract

Section: Dispersion Of Waves Propagating Perpendicular To the Extmentioning

confidence: 89%

Section: Introductionmentioning

confidence: 99%

“…[4] (see formula 8). The last term in formula (52) is the contribution of spin (equilibrium magnetization).…”

Section: Dispersion Of Waves Propagating Perpendicular To the Extmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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

Andreev

2015

Physics of Plasmas

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Quantum Kinetics of Neutral Particles with Spin: Spin Wave Spectrum in a One-Dimensional System of Dipoles

Andreev

2014

Russ Phys J

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Exchange effects in Coulomb quantum plasmas: Dispersion of waves in 2D and 3D quantum plasmas

Andreev

2014

Annals of Physics

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We describe quantum hydrodynamic equations with the Coulomb exchange interaction for three and two dimensional plasmas. Explicit form of the force densities are derived. We present non-linear Schrodinger equations (NLSEs) for the Coulomb quantum plasmas with the exchange interaction. We show contribution of the exchange interaction in the dispersion of the Langmuir, and ionacoustic waves. We consider influence of the spin polarization ratio on strength of the Coulomb exchange interaction. This is important since exchange interaction between particles with same spin direction and particles with opposite spin directions are different. At small particle concentrations n0 ≪ 10 25 cm −3 and small polarization the exchange interaction gives small decrease of the Fermi pressure. With increasing of polarization role of the exchange interaction becomes more important, so that it can overcome the Fermi pressure. The exchange interaction also decreases contribution of the Langmuir frequency. Ion-acoustic waves do not exist in limit of large polarization since the exchange interaction changes the sign of pressure. At large particle concentrations n0 ≫ 10 25 cm −3 the Fermi pressure prevails over the exchange interaction for all polarizations. Similar picture we obtain for two dimensional quantum plasmas.

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Eigenwaves in a two-component system of particles with nonzero magnetic moments

Cited by 36 publications

References 4 publications

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

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

Quantum Kinetics of Neutral Particles with Spin: Spin Wave Spectrum in a One-Dimensional System of Dipoles

Exchange effects in Coulomb quantum plasmas: Dispersion of waves in 2D and 3D quantum plasmas

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