Hydrodynamic description of plasma waves including electron spin

The influence of the intrinsic spin of electrons on the propagation of circularly polarized waves in a magnetized plasma is considered. New eigenmodes are identified, one of which propagates below the electron cyclotron frequency, one above the spin-precession frequency, and another close to the spin-precession frequency.\ The latter corresponds to the spin modes in ferromagnets under certain conditions. In the nonrelativistic motion of electrons, the spin effects become noticeable even when the external magnetic field $B_{0}$ is below the quantum critical\ magnetic field strength, i.e., $B_{0}<$ $B_{Q} =4.4138\times10^{9}\, \mathrm{T}$ and the electron density satisfies $n_{0} \gg n_{c}\simeq10^{32}$m$^{-3}$. The importance of electron spin (paramagnetic) resonance (ESR) for plasma diagnostics is discussed.Comment: 10 page

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“…The hydrodynamic description of spin plasma waves can also be found in the literature (see e.g. [10,14,23]).…”

Section: Introductionmentioning

confidence: 99%

Circularly polarized modes in magnetized spin plasmas

Misra¹,

Brodin²,

Marklund³

et al. 2010

J. Plasma Phys.

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“…Different approaches to quantum kinetics are presented in literature [29], [70], [71], [72], [73]. Recent application of Wigner kinetics have been also presented in literature [74], [75], [76].…”

Section: Further Generalization Of Quantum Hydrodynamics Of Electron-...mentioning

confidence: 99%

“…This kinetics is derived by means the method, which directly follows from general conception of many-particle hydrodynamics [68], [69]. Different approaches to quantum kinetics are presented in literature [29], [70], [71], [72], [73]. Recent application of Wigner kinetics have been also presented in literature [74], [75], [76].…”

Section: Further Generalization Of Quantum Hydrodynamics Of Electmentioning

confidence: 99%

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.

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“…The evolution of intrinsic spin effect of electrons is one of the most important properties of quantum plasma, and it may survive even when the macroscopic variations occurs on a scale larger than the thermal de Broglie wavelength. For highdensity plasma, quantum features due to the intrinsic magnetic moment of the electron become noticeable and their spin effect (Polyakov, 1979;Marklund and Brodin, 2007;Brodin and Marklund, 2008) in plasma are found to be somewhat different from those of non-spin (Rastunkov and Krainov, 2004;Manfredi, 2005) quantum effects in plasma. During the last decade, there have been many papers devoted to the influence of spin-1/2 effect on dynamics of plasma (Shahid et al, 2012;Hu et al, 2016).…”

Section: Introductionmentioning

confidence: 97%

Surface plasma wave in spin-polarized semiconductor quantum plasma

Kumar

Ahmad

2020

Laser Part. Beams

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AbstractThe possibilities of surface plasma wave (SPW) on a metal-vacuum interface in semiconductor quantum plasma by considering the effects of Coulomb exchange (CE) interaction and the spin-polarization has been explored. The dispersion for the SPW has been setup using the modified quantum hydrodynamic (QHD) model taking into account the Fermi pressure, the quantum Bohm force, the CE, and the electron spin. The optical gain of SPW has been evaluated. It is found that CE effects and spin-polarization increases the wave frequency and enhances the gain during the stimulated emission.

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Hydrodynamic description of plasma waves including electron spin

Cited by 6 publications

References 2 publications

Circularly polarized modes in magnetized spin plasmas

Circularly polarized modes in magnetized spin plasmas

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

Surface plasma wave in spin-polarized semiconductor quantum plasma

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