Methodological notes

From Lord Rayleigh to Professor A.A. Vlasov (from 1906 to 1945)

 a, b,  c, d
a Prokhorov General Physics Institute of the Russian Academy of Sciences, ul. Vavilova 38, Moscow, 119991, Russian Federation
b Moscow Institute of Physics and Technology (National Research University), Institutskii per. 9, Dolgoprudny, Moscow Region, 141701, Russian Federation
c Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation
d National Research Nuclear University MEPhI, Kashirskoe shosse 31, Moscow, 115409, Russian Federation

The authors' view on development of theoretical concepts of collisionless plasma is presented. The review begins with Lord Rayleigh's studies who established basics of multi-electron system theory in 1906 as a development of J.J. Thompson's atomic theory. The exploration was based on the concept that electrons move in a self-consistent electric field produced by the electrons themselves. Rayleigh used then this concept to predict oscillatory motion of electrons and obtained a formula for the frequency of the system's collective oscillations. Those studies established a foundation of Rayleigh's multi-electron system, and his formula for the frequency of collective oscillations may be considered the first accomplishment of the science pioneered by Lord Rayleigh.

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Fulltext is also available at DOI: 10.3367/UFNe.2018.09.038445
Keywords: Rayleigh model, Langmuir—Tonks model, self-consistent field, Boltzmann kinetic equation, Landau collision integral, Vlasov equation
PACS: 01.65.+g, 52.25.−b (all)
DOI: 10.3367/UFNe.2018.09.038445
Citation: Rukhadze A A, Silin V P "From Lord Rayleigh to Professor A.A. Vlasov (from 1906 to 1945)" Phys. Usp. 62 691–698 (2019)
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Received: 19th, April 2018, revised: 21st, August 2018, 20th, September 2018

:   ,    « ..  ( 1906 . 1945 .)» 189 739–746 (2019); DOI: 10.3367/UFNr.2018.09.038445

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  1. M.V. Kuzelev, A.A. Rukhadze “Waves in inhomogeneous plasmas and liquid and gas flows. Analogies between electro- and gas-dynamic phenomena61 748–764 (2018)
  2. M.V. Kuzelev, A.A. Rukhadze “On the quantum description of the linear kinetics of a collisionless plasma42 603–605 (1999)
  3. I.I. Sobel’man “On the theory of light scattering in gases45 75–80 (2002)
  4. P.S. Landa, D.I. Trubetskov, V.A. Gusev “Delusions versus reality in some physics problems: theory and experiment52 235–255 (2009)
  5. V.L. Ginzburg “The nature of spontaneous radiation26 713–719 (1983)
  6. Ya.A. Smorodinskii, V.A. Ugarov “Two paradoxes of the special theory of relativity15 340–346 (1972)
  7. V.S. Pronskikh “Measurement problems: contemporary discussions and models63 192–200 (2020)
  8. S.V. Vladimirov, Yu.O. Tyshetskiy “On description of a collisionless quantum plasma54 1243–1256 (2011)
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  11. B.M. Bolotovskii, G.B. Malykin “Visible shape of moving bodies62 1012–1030 (2019)
  12. S.V. Petrov “Was Sommerfeld wrong? (To the history of the appearance of spin in relativistic wave equations)63 721–724 (2020)
  13. E.G. Bessonov “Another route to the Lorentz transformations59 475–479 (2016)
  14. A.A. Grib “On the problem of the interpretation of quantum physics56 1230–1244 (2013)
  15. V.A. Aleshkevich “On special relativity teaching using modern experimental data55 1214–1231 (2012)
  16. V.B. Morozov “On the question of the electromagnetic momentum of a charged body54 371–374 (2011)
  17. V.L. Pokrovsky “Landau and modern physics52 1169–1176 (2009)
  18. M.I. Krivoruchenko “Rotation of the swing plane of Foucault’s pendulum and Thomas spin precession: two sides of one coin52 821–829 (2009)
  19. G.B. Malykin “Para-Lorentz transformations52 263–266 (2009)
  20. A.A. Snarskii “Did Maxwell know about the percolation threshold? (on the fiftieth anniversary f percolation theory)50 1239–1242 (2007)

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