On description of a collisionless quantum plasma

S.V. Vladimirov^a, b, Yu.O. Tyshetskiy^c, a
^aSchool of Physics, The University of Sydney, Sydney, Australia
^bJoint Institute for High Temperatures, Russian Academy of Sciences, ul. Izhorskaya 13/19, Moscow, 127412, Russian Federation
^cV.N. Karazin Khar'kov National University, pl. Svobody 4, Khar'kov, 61077, Ukraine

A plasma is regarded as quantum if its macroscopic properties are significantly affected by the quantum nature of its constituent particles. A proper description is necessary to comprehend when collective quantum plasma effects are important. In this paper, the most commonly used microscopic approaches to describe a collisionless quantum plasma are reviewed, together with their related assumptions and restrictions. In particular, the quantum plasma hydrodynamic approximation is analyzed in detail, and the analytical properties of the linear dielectric response function obtained from quantum plasma kinetic theory are investigated. Special attention is paid to what we consider to be the most important problems that have already appeared in the linear approximation and require further studies.

PACS: 05.30.Fk, 52.25.−b, 52.35.−g (all)
DOI: 10.3367/UFNe.0181.201112g.1313
URL: https://ufn.ru/en/articles/2011/12/c/
Web of Science

000303761500003
ADS NASA

2011PhyU...54.1243V
Citation: Vladimirov S V, Tyshetskiy Yu O "On description of a collisionless quantum plasma" Phys. Usp. 54 1243–1256 (2011)

BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 21st, December 2010, revised: 23rd, May 2011, accepted: 23rd, May 2011

Оригинал: Владимиров С В, Тышецкий Ю О «Об описании бесстолкновительной квантовой плазмы» УФН 181 1313–1328 (2011); DOI: 10.3367/UFNr.0181.201112g.1313

References (48) Cited by (89) Similar articles (20) ↓

M.V. Kuzelev, A.A. Rukhadze “On the quantum description of the linear kinetics of a collisionless plasma” Phys. Usp. 42 603–605 (1999)
M.V. Kuzelev, A.A. Rukhadze “Nonrelativistic quantum theory of stimulated Cherenkov radiation and Compton scattering in a plasma” Phys. Usp. 54 375–380 (2011)
B.A. Klumov “On melting criteria for complex plasma” Phys. Usp. 53 1053–1065 (2010)
E.G. Batyev “Pauli paramagnetism and Landau diamagnetism” Phys. Usp. 52 1245–1246 (2009)
A.G. Shalashov, E.D. Gospodchikov “Impedance technique for modeling of electromagnetic wave propagation in anisotropic and gyrotropic media” Phys. Usp. 54 145–165 (2011)
A.V. Nedospasov “On an estimate of turbulent transport in a magnetized plasma (to the 90th anniversary of the birth of B.B. Kadomtsev)” Phys. Usp. 61 1079–1081 (2018)
A.G. Zagorodnii, A.V. Kirichok, V.M. Kuklin “One-dimensional modulational instability models of intense Langmuir plasma oscillations using the Silin—Zakharov equations” Phys. Usp. 59 669–688 (2016)
A.A. Rukhadze, V.P. Silin “From Lord Rayleigh to Professor A.A. Vlasov (from 1906 to 1945)” Phys. Usp. 62 691–698 (2019)
G.S. Bisnovatyi-Kogan, I.A. Kondratyev “Free electron gas and electron—positron pair equilibrium in a magnetic field” Phys. Usp. 64 515–528 (2021)
N.N. Rosanov, R.M. Arkhipov, M.V. Arkhipov “On laws of conservation in electrodynamics of continuous media (on the occasion of the 100th anniversary of the S.I. Vavilov State Optical Institute)” Phys. Usp. 61 1227–1233 (2018)
V.P. Demutskii, R.V. Polovin “Conceptual problems in quantum mechanics” Sov. Phys. Usp. 35 (10) 857–896 (1992)
V.I. Tatarskii “Example of the description of dissipative processes in terms of reversible dynamic equations and some comments on the fluctuation-dissipation theorem” Sov. Phys. Usp. 30 134–152 (1987)
G.A. Markov, A.S. Belov “Demonstration of nonlinear wave phenomena in the plasma of a laboratory model of an ionospheric-magnetospheric density duct” Phys. Usp. 53 703–712 (2010)
A.S. Dzarakhokhova, N.P. Zaretskii et al “Identity of the mechanisms of Weibel and Alfvén-cyclotron plasma instabilities” Phys. Usp. 63 611–616 (2020)
A. Loskutov “Dynamical chaos: systems of classical mechanics” Phys. Usp. 50 939–964 (2007)
K.V. Chukbar “Harmony in many-particle quantum problem” Phys. Usp. 61 389–396 (2018)
M.V. Kuzelev, A.A. Rukhadze “Stimulated radiation from high-current relativistic electron beams” Sov. Phys. Usp. 30 507–524 (1987)
V.N. Tsytovich “On the physical interpretation of Thomson scattering in a plasma” Phys. Usp. 56 180–191 (2013)
I.M. Arbekov, S.N. Molotkov “Extraction of quantum randomness” Phys. Usp. 64 617–634 (2021)
V.L. Gorshenin, B.N. Nougmanov, F.Ya. Khalili “On 'Schrödinger's cat' fringes” Phys. Usp. 67 938–942 (2024)

The list is formed automatically.