A. V. Latyshev, A. A. Yushkanov, “Transverse electrical conductivity of a quantum collisional plasma in the Mermin approach”, TMF, 175:1 (2013), 132–143; Theoret. and Math. Phys., 175:1 (2013), 559

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Teoreticheskaya i Matematicheskaya Fizika, 2013, Volume 175, Number 1, Pages 132–143
DOI: https://doi.org/10.4213/tmf8422 (Mi tmf8422)

This article is cited in 22 scientific papers (total in 22 papers)

Transverse electrical conductivity of a quantum collisional plasma in the Mermin approach

A. V. Latyshev, A. A. Yushkanov

Moscow State Regional University, Moscow, Russia

Full-text PDF (414 kB) Citations (22)

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DOI: https://doi.org/10.4213/tmf8422

Abstract: We derive formulas for the transverse electrical conductivity and the permittivity in a quantum collisional plasma using the kinetic equation for the density matrix in the relaxation approximation in the momentum space. We show that the derived formula becomes the classical formula when the Planck constant tends to zero and that when the electron collision rate tends to zero (i.e., the plasma becomes collisionless), the derived formulas become the previously obtained Lindhard formulas. We also show that when the wave number tends to zero, the quantum conductivity becomes classical. We compare the obtained conductivity with the conductivity obtained by Lindhard and with the classical conductivity.

Keywords: Lindhard, Mermin, quantum collisional plasma, conductivity, permittivity, density matrix, commutator, degenerate plasma.

Received: 08.10.2012
Revised: 11.11.2012

English version:
Theoretical and Mathematical Physics, 2013, Volume 175, Issue 1, Pages 559–569
DOI: https://doi.org/10.1007/s11232-013-0044-y

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: A. V. Latyshev, A. A. Yushkanov, “Transverse electrical conductivity of a quantum collisional plasma in the Mermin approach”, TMF, 175:1 (2013), 132–143; Theoret. and Math. Phys., 175:1 (2013), 559–569

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This publication is cited in the following 22 articles:

Victor Belyaev, Nikolai Zverev, Aslan Abduev, Alexander Zotov, “E-Wave Interaction with the One-Dimensional Photonic Crystal with Weak Conductive and Transparent Materials”, Coatings, 13:4 (2023), 712
A A Zotov, N V Zverev, “Longitudinal Plasmons in a Thin Flat Conductive Film”, J. Phys.: Conf. Ser., 2056:1 (2021), 012020
Nikolai V. Zverev, Aleksandr A. Zotov, Aleksandr A. Yushkanov, “CHARACTERISTICS OF A THIN CONDUCTIVE FILM BY PLASMON RESONANCES”, Bulletin of the MSRU (Physics and Mathematics), 2020, no. 2, 8
S Sh Suleymanova, A A Yushkanov, N V Zverev, “Quantum Effects of P-wave Absorption by Metallic Films”, J. Phys.: Conf. Ser., 1560:1 (2020), 012012
Nikolai V. Zverev, Aleksandr A. Yushkanov, “ELECTRON PLASMA AND INTERFERENCE OF RADIATION FROM METALLIC AND DIELECTRIC FILMS”, Bulletin of the MSRU (Physics and Mathematics), 2019, no. 1, 46
A A Yushkanov, N V Zverev, “An Interference of P-waves from Weakly Conducting and Transparent Dielectric Films”, J. Phys.: Conf. Ser., 1309:1 (2019), 012011
A. A. Yushkanov, N. V. Zverev, “On interaction of P-waves with one-dimensional photonic crystal consisting of weak conducting matter and transparent dielectric layers”, International Interdisciplinary Conference “Euler Readings MRSU 2017”, Journal of Physics Conference Series, 996, ed. P. Vysikaylo, V. Belyaev, IOP Publishing Ltd, 2018, UNSP 012008
Maslov S.A., Bobrov V.B., Kirillin A.V., Trigger S.A., Xxxii International Conference on Interaction of Intense Energy Fluxes With Matter (Elbrus 2017), Journal of Physics Conference Series, 946, IOP Publishing Ltd, 2018
N. V. Zverev, A. A. Yushkanov, “Quantum electron plasma in one-dimensional metallic–dielectric photonic crystal”, Opt. Spectrosc., 122:2 (2017), 202–206
A. V. Latyshev, A. A. Yushkanov, “Magnetic susceptibility and Landau diamagnetism of quantum collisional plasma”, Plasma Phys. Rep., 43:4 (2017), 458–463
A.A. Yushkanov, N.V. Zverev, “Quantum electron plasma, visible and ultraviolet P-wave and thin metallic film”, Physics Letters A, 381:6 (2017), 679
A. V. Latyshev, A. A. Yushkanov, “Longitudinal electric current generated by a transverse electromagnetic field in a collisional plasma”, Theoret. and Math. Phys., 187:1 (2016), 559–569
Nikolai Vital'evich Zverev, Aleksandr Alekseevich Yushkanov, “QUANTUM ELECTRON PLASMA, THIN METAL FILM AND ELECTROMAGNETIC RADIATION”, Bulletin of the MSRU (Physics and Mathematics), 2016, no. 3, 18
A. V. Latyshev, A. A. Yushkanov, “Magnetic susceptibility and Landau diamagnetism of a quantum collisional degenerate plasma”, Theoret. and Math. Phys., 183:3 (2015), 860–867
A. V. Latyshev, A. A. Yushkanov, “Nonlinear longitudinal current in the Maxwellian plasma generated under the action of a transverse electromagnetic wave”, Fluid Dyn, 50:6 (2015), 820
A. V. Latyshev, A. A. Yushkanov, “Generation of longitudinal current by a transverse electromagnetic field in classical and quantum plasmas”, Plasma Phys. Rep., 41:9 (2015), 715
A. Latyshev, A. Yushkanov, “NON-LINEAR LONGITUDINAL CURRENT IN CLASSICAL AND QUANTUM PLASMAS, GENERATING BY TWO TRANSVERSAL ELECTROMAGNETIC WAVES”, Bulletin of the MSRU (Physics and mathematics), 2015, no. 4, 44
A. V. Latyshev, A. A. Yushkanov, “Longitudinal dielectric permeability of a quantum degenerate plasma with a constant collisional frequency”, High Temperature, 52:1 (2014), 126–128
A. V. Latyshev, A. A. Yushkanov, “Transverse permittivity of quantum collisional plasma with an arbitrary collision frequency”, Plasma Phys. Rep., 40:7 (2014), 564–571
M. Habibi, F. Ghamari, “Relativistic self-focusing of ultra-high intensity X-ray laser beams in warm quantum plasma with upward density profile”, Phys. Plasmas, 21:5 (2014), 052705

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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