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This article is cited in 1 scientific paper (total in 2 paper)
METHODOLOGICAL NOTES
From Lord Rayleigh to Professor A A Vlasov (from 1906 to 1945)
A. A. Rukhadzeab, V. P. Silincd a Prokhorov General Physics Institute, Russian Academy of Sciences, Moscow
b Moscow Institute of Physics and Technology (National Research University), Dolgoprudnyi, Moscow region
c Lebedev Physical Institute,Russian Academy of Sciences, Moscow
d National Research Nuclear University MEPhI, Moscow
Abstract:
The authors' view on the development of theoretical concepts of collisionless plasma is presented. The review begins with studies by Lord Rayleigh, who established the basics of multi-electron system theory in 1906 as a development of J J Thompson's atomic theory. His study was based on the concept that electrons move in a self-consistent electric field produced by the electrons themselves. Rayleigh then used this concept to predict the oscillatory motion of electrons and obtained a formula for the frequency of a system's collective oscillations. Those studies established a foundation for Rayleigh's model of a multi-electron system, and his formula for the frequency of collective oscillations may be considered the first analytical result of the science pioneered by Lord Rayleigh.
Received: April 19, 2018 Revised: August 21, 2018 Accepted: September 20, 2018
Citation:
A. A. Rukhadze, V. P. Silin, “From Lord Rayleigh to Professor A A Vlasov (from 1906 to 1945)”, UFN, 189:7 (2019), 739–746; Phys. Usp., 62:7 (2019), 691–698
Linking options:
https://www.mathnet.ru/eng/ufn6293 https://www.mathnet.ru/eng/ufn/v189/i7/p739
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