TRANSVERSAL ELECTRIC CONDUCTIVITY AND DIELECTRIC CONDUCTIVITY OF QUANTUM COLLISIONAL PLASMA WITH FREE EXTENT OF DEGENERATION AND CONSTANT COLLISION RATE
https://doi.org/10.18384/2224-0209-2013-2-774
Abstract
The article presents the formula of transversal electric conductivity and dielectric conductivity of quantum collisional plasma with free extent of degeneration and constant collision rate. The Shrodinger-Boltzmann kinetic equation is used which has the momentum integral of collisions in space with the relaxation-type collision integral. It is shown that having the formula deduced transfers into the formula for classical plasma. The article also show that the wave number vanishes; and the formula of penetrability transfers into the formula for classical plasma. The authors present the graphic analysis of the electric conduction modulus, as well as of its real and imaginary parts, depending on the electromagnetic field oscillation frequency, the size of wave vector at different plasma particles collision rates and the size of electron gaschemical potential.
References
1. Латышев А.В., Юшканов А.А. Продольная проницаемость квантовой вырожденной столкновительной плазмы // Теор. и матем. физика. — 2011. — Т 169. - №3. - С. 431-443.
2. Латышев А.В., Юшканов A.A. Поперечная электрическая проводимость квантовой столкновительной плазмы в подходе Мермина // Теор. и матем. физика. - 2013.- Т 175. - № 1. - C. 134-144.
3. Латышев А.В., Юшканов А.А. Поперечная электрическая проводимость в квантовой столкновительной плазме // Физика плазмы. - 2012. - Т 38. - № 11. - С. 977-986.
4. Латышев А.В., Юшканов А.А. Поперечная электрическая проводимость в квантовой столкновительной плазме // Электронный журнал. «Вестник МГОУ» [Сайт]. - М.:МГОУ, 2012. - №1. URL:http: //evestniK-mgou.ru/ VIPUSKI/2012_1/stati/fizimat/latyshev.html.
5. Шукла П.К., Элиассон Б. Нелинейные аспекты квантовой физики плазмы // УФН.- 2010.- V. 180.- №1.- С. 55-82.
6. Anderson D., Hall B., Lisak M., and Marklund M. Statistical effects in the multistream model for quantum plasmas // Phys. Rev. E 65 (2002), 046417.
7. Brodin G., Marklund M., Manfredi G. Quantum Plasma Effects in the Classical Regime // Phys. Rev. Letters. 100, (2008). P. 175001-1 - 175001-4.
8. Dressel M., Grüner G. Electrodynamics of Solids. Optical Properties of Electrons in Matter.- Cambridge. Univ. Press, 2003.- 487 p.
9. Klimontovich Y. and Silin V.P. The Spectra of Systems of Interacting Particles // JETF (Journal Experimental Theoreticheskoi Fiziki). - 1952.-23. - P. 151-286.
10. Kliewer K. L., Fuchs R. Lindhard Dielectric Functions with a Finite Electron Lifetimem // Phys. Rev. 1969. V. 181.- № 2. - P. 552-558.
11. Latyshev A.V., Yushkanov A.A. Longitudinal electric conductivity and dielectric permeability in quantum plasma with constant collision frequency in Mermin’ approach // arXiv: 1212. 6260v1 [physics.plasma-ph] 26 Dec 2012. - 27 p.
12. Latyshev A.V., Yushkanov A.A. Transverse electric conductivity in quantum collisional plasma in Mermin approach // arXiv:1109.6554v1 [math-ph] 29 Sep 2011.
13. Lindhard J. On the properties of a gas of charged particles // Kongelige Danske Videnskabernes Selskab, Matematisk-Fysiske Meddelelser. V. 28, №8 (1954), 1-57.
14. Manfredi G. How to model quantum plasmas // ArXiv: quant - ph/0505004.- 30 pp.
15. Manfredi G. and Haas F. Self-consistent fluid model for a quantum electron gas // Phys. Rev. B 64 (2001), 075316.
16. Martin P.C. Sum Rules, Kramers-Kronig Relations, and Transport Coefficients in Charged Systems // Phys. Rev. - 1967. - V. 161. - № 1. - P. 143-155.
17. Mermin N.D. Lindhard Dielectric Functions in the Relaxation-Time Approximation // Phys. Rev. B. 1970. V. 1. - № 5. - P. 2362-2363.
18. Pains D., Nozières P. The Theory of Quantum Liquids. V.I: Normal Fermi Liquids. W.A. Benjamin, inc.- N.-York-Amsterdam, 1966.
19. Wierling A. Interpolation between local field corrections and the Drude model by a generalized Mermin approach // arXiv:0812.3835v1 [physics.plasm-ph] 19 Dec 2008.
Review
Views:
229
Email this article 