Quantum hydrodynamics approach to the research of quantum effects and vorticity evolution in spin quantum plasmas

Trukhanova, Mariya Iv.

doi:10.1093/ptep/ptt086

Cited by 19 publications

(30 citation statements)

References 27 publications

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“…Among them we find the appearance of the spinplasma waves with frequencies near the cyclotron frequency [3], [4], [5], [6]. Later it was demonstrated that the quantum Bohm potential existing in the magnetic moment evolution equation shifts the frequency of the spin-plasma waves [7], [8]. This shift is proportional to the square of the wave vector.…”

Section: Introductionmentioning

confidence: 96%

Spin-electron acoustic soliton and exchange interaction in separate spin evolution quantum plasmas

Andreev

2016

Physics of Plasmas

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Separate spin evolution quantum hydrodynamics is generalized to include the Coulomb exchange interaction. The Coulomb exchange interaction is considered as the interaction between the spindown electrons being in the quantum states occupied by one electron, giving main contribution in the equilibrium. The generalized model is applied to study the non-linear spin-electron acoustic waves. Existence of the spin-electron acoustic soliton is demonstrated. Contributions of the concentration, spin polarization, and exchange interaction in the properties of the spin electron acoustic soliton are studied.

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Section: Introductionmentioning

confidence: 96%

Spin-electron acoustic soliton and exchange interaction in separate spin evolution quantum plasmas

Andreev

2016

Physics of Plasmas

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“…The described phenomena, in some form, exist in spinless plasmas, while there are some plasma effects requiring the spin of particles. On this path the following purely spin plasma phenomena have been found: the spin-plasma waves [3], [16], [17], [18], [19], [20], [21], [22], the spin-electron acoustic waves [23], [24], which are possibly related to the high-temperature superconductivity [25], the spin-electron acoustic soliton [26], the spin (quantum) vorticity [22], [27], [28], the spin caused modulational instability of the magnetosonic waves in the dense quantum plasma [29], spin instabilities caused by specific equilibrium distribution functions [30], instability of the plasma and spin-plasma waves at the propagation of the spin polarized neutron beam through the magnetized spin-1/2 plasmas arising due to the spin-spin and spin-current interactions Ref. [19], [31].…”

Section: Introductionmentioning

confidence: 99%

On the equation of state for the “thermal” part of the spin current: The Pauli principle contribution in the spin wave spectrum in a cold fermion system

Andreev¹,

Kuz'menkov²

2019

Progress of Theoretical and Experimental Physics

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Spin evolution opened a large field in quantum plasma research. The spin waves in plasmas were considered among new phenomena considered in spin-1/2 quantum plasmas. The spin density evolution equation found by means of the many-particle quantum hydrodynamics shows existence of the "thermal" part of the spin current, which is an analog of the thermal pressure, or the Fermi pressure for degenerate electron gas, existing in the Euler equation. However, this term has been dropped, since there has not been found any equation of state for the thermal part of the spin current (TPSC), like we have for the pressure. In this paper we derive the equation of state for the TPSC and apply it for study of spectrum of collective excitations in spin-1/2 quantum plasmas. We focus our research on the spectrum of spin waves, since this spectrum is affected by the thermal part of the spin current. We consider two kinds of plasmas: electron-ion plasma with motionless ions and degenerate electrons, and degenerate electron-positron plasmas. We also present the non-linear Pauli equation with the spinor pressure term containing described effects. The thermal part of the flux of spin current existing in the spin current evolution equation is also derived. We also consider the contribution of the TPSC in the grand generalized vorticity evolution.

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“…The existence of the quantum part of the spin current or, in other words, the quantum Bohm potential contribution in the spin evolution equation was demonstrated by Takabayasi in Takabayasi (1955 a ). The contribution of this effect to the wave properties of quantum plasmas is considered in Trukhanova (2013 a ), where it is applied for the spin-plasma waves.…”

Section: Hydrodynamic Equations With the Velocity Fieldmentioning

confidence: 99%

“…Usually, the dispersion equation for longitudinallytransverse waves propagating perpendicular to external field and having electric field in the plane perpendicular to the external magnetic field gives two solutions called the extraordinary waves. However, dispersion equation (41) has three solutions due to the SSE. The dispersion equation ( 41) also contains the spin-orbit interaction contribution.…”

Section: A Numerical Analysismentioning

confidence: 99%

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Separated spin evolution quantum hydrodynamics of degenerate electrons with spin–orbit interaction and extraordinary wave spectrum

Andreev

Trukhanova

2018

J. Plasma Phys.

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To consider a contribution of the spin-orbit interaction in the extraordinary wave spectrum we derive a generalization of the separate spin evolution quantum hydrodynamics. Applying corresponding nonlinear Pauli equation we include Fermi spin current contribution in the spin evolution. We find that the spectrum of extraordinary waves consists of three branches: two of them are wellknown extraordinary waves and the third one is the spin-electron acoustic wave (SEAW). Earlier SEAWs have been considered in the electrostatic limit. Here we include the electromagnetic effects in their spectrum at the propagation perpendicular to the external magnetic field. We find that the SEAW spectrum considerably changes at the account of transverse part of electric field. We obtain that the separate spin evolution modifies spectrum of the well-known extraordinary waves either. A change of the extraordinary wave spectrum due to the spin-orbit interaction is obtained as well.

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Quantum hydrodynamics approach to the research of quantum effects and vorticity evolution in spin quantum plasmas

Cited by 19 publications

References 27 publications

Spin-electron acoustic soliton and exchange interaction in separate spin evolution quantum plasmas

Spin-electron acoustic soliton and exchange interaction in separate spin evolution quantum plasmas

On the equation of state for the “thermal” part of the spin current: The Pauli principle contribution in the spin wave spectrum in a cold fermion system

Separated spin evolution quantum hydrodynamics of degenerate electrons with spin–orbit interaction and extraordinary wave spectrum

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