• Corpus ID: 119626423

Transverse electric conductivity of quantum collisional maxwellian plasma

@article{Latyshev2010TransverseEC,
  title={Transverse electric conductivity of quantum collisional maxwellian plasma},
  author={Anatoly V. Latyshev and Alexander A. Yushkanov},
  journal={arXiv: Mathematical Physics},
  year={2010}
}
Formulas for calculation of transverse dielectric function and transverse electric conductivity in quantum collisional Maxwellian plasma are obtained. The Wigner -- Vlasov -- Boltzmann kinetic equation with collision integral in BGK (Bhatnagar, Gross and Krook) form in coordinate space is used. Various special cases are in\-ves\-ti\-gated. Comparison with Lindhard's formula has been carried out. 
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References

SHOWING 1-10 OF 28 REFERENCES

Transverse electric conductivity of quantum collisional plasmas

Formulas for calculation of transverse dielectric function and transverse electric conductivity in quantum collisional plasmas under arbitrary degree of degeneracy of the electron gas are received.…

Dispersion properties of electrostatic oscillations in quantum plasmas

Abstract We present a derivation of the dispersion relation for electrostatic oscillations in a zero-temperature quantum plasma, in which degenerate electrons are governed by the Wigner equation,…

Boltzmann-Vlasov Equation for a Quantum Plasma

In this paper a new equation is derived which is a quantum mechanical analog of the classical collisionless Boltzmann equation. To these ends a new quantum mechanical distribution function is…

Quantum plasma effects in the classical regime.

This paper considers a multicomponent plasma model, where electrons with spin-up and spin-down are regarded as different fluids and demonstrates that quantum effects can survive in a relatively high-temperature plasma.

Temperature dependence of longitudinal and transverse dielectric functions of inhomogeneous fermi systems in the local density approximation

The present work is a theoretical study aiming at understanding the role of the electronic temperature on the optical response of simple metal clusters. The electronic temperature dependence of the…

Statistical effects in the multistream model for quantum plasmas.

A statistical multistream description of quantum plasmas is formulated, and a Landau-like damping of plane wave perturbations occurs due to the broadening of the background Wigner function that arises as a consequence of statistical variations of the wave function phase.

Lindhard Dielectric Functions with a Finite Electron Lifetime

The finite-electron-lifetime expressions for the longitudinal and transverse dielectric functions of a free-electron gas obtained by Lindhard in the self-consistent-field approximation are examined.…

Optical Properties of an Electron Gas: Further Studies of a Nonlocal Description

Our previous studies of the optical properties of an electron gas for which the surface scattering is specular have been extended. It is argued that to treat the quantum-mechanical effects appearing…

Self-consistent fluid model for a quantum electron gas

It is shown that, for a large class of statistical mixtures, the Wigner-Poisson (or Hartree) system can be reduced to an effective Schroedinger-Poisson system, in which the Schroedinger equation…

A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems

A kinetic theory approach to collision processes in ionized and neutral gases is presented. This approach is adequate for the unified treatment of the dynamic properties of gases over a continuous…