Exchange Coulomb interaction in nanotubes: Dispersion of Langmuir waves

Andreev, Pavel A.; Ivanov, A. Yu.

doi:10.1063/1.4923384

Cited by 12 publications

(13 citation statements)

References 76 publications

(82 reference statements)

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“…, where n 0e = n 0↑ + n 0↓ , functions U 2 ↑ and U 2 ↓ are defined by formulae (32) and (33), correspondingly.…”

Section: Contribution Of Exchange Interaction In Spin Electron Acomentioning

confidence: 99%

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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“…, where n 0e = n 0↑ + n 0↓ , functions U 2 ↑ and U 2 ↓ are defined by formulae (32) and (33), correspondingly.…”

Section: Contribution Of Exchange Interaction In Spin Electron Acomentioning

confidence: 99%

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

Andreev

2016

Physics of Plasmas

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“…We have found the spin part of thermal energy density or the internal spin potential which can be rewritten in the approximation of nonin-teracting particles using the definition (20). We have derived the spin contribution to the kinetic energy current (22) and (23). It was showed that in the absence of external fields the dynamics of energy density is subject to the quantum Bohm potential and and spin part of quantum Bohm potential or spin stress.…”

Section: Discussionmentioning

confidence: 99%

“…The quantum hydrodynamic with the Coulomb exchange interaction for three and two dimensional plasmas had been developed in 22 and microscopic derivation of the Coulomb exchange interaction for electrons located on the nanotubes was presented in 23 . The nonlinear Schrodinger equations (NLSEs) for the Coulomb quantum plasmas with the exchange interaction had been derived and contribution of the exchange interaction in the dispersion of the Langmuir, and ion-acoustic waves was founded.…”

Section: Introductionmentioning

confidence: 99%

Energy evolution in many-particle quantum hydrodynamics of spinning plasmas

Trukhanova

2016

Mod. Phys. Lett. B

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In this paper, we develop a quantum hydrodynamics (QHD) method for the research of the quantum evolution of a system of spinning particles. We derived the fundamental equation for charged and neutral spinning particles -the energy evolution equation from the many-particle microscopic Schredinger equation with a Spin-spin and Coulomb modified Hamiltonian. We derive the spin contributions to the energy evolution equation, thermal energy and thermal energy current.

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“…To include its contribution we need to consider relatively large equilibrium concentrations . As was demonstrated and discussed earlier, the exchange interaction plays a considerable role if the concentration is below (Andreev & Ivanov 2015; Andreev 2016 a ).…”

Section: Dispersion Dependence Of Waves Propagating Perpendicular To mentioning

confidence: 99%

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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Exchange Coulomb interaction in nanotubes: Dispersion of Langmuir waves

Cited by 12 publications

References 76 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

Energy evolution in many-particle quantum hydrodynamics of spinning plasmas

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

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