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Teoreticheskaya i Matematicheskaya Fizika, 1969, Volume 1, Number 3, Pages 421–429 (Mi tmf4589)  

This article is cited in 3 scientific papers (total in 3 papers)

Kinetic equations in an electron-phonon system

V. V. Belyi, Yu. L. Klimontovich
Full-text PDF (766 kB) Citations (3)
References:
Abstract: A method for deriving the kinetic equations describing the interactions of electrons with phohens is described. The result was obtained without solving the equations for the simultaneous correlation functions. The classical electron–phonon collision integral has a Fokker–Planck form, while the quantum integral differs from the known Bloch theory expression by the consideration of polarization. Consideration of polarization leads to sound velocity change andto the interaction of electrons by means of the exchange of virtual phonons. Using the collision integrals obtained, the relaxation of the directionaI velocity and energy of electrons resulting from electron-phonon collisions was considered. A model integral for electron-phonon collisions, which correctly described such relaxation processes, was constructed.
Received: 23.06.1969
English version:
Theoretical and Mathematical Physics, 1969, Volume 1, Issue 3, Pages 320–325
DOI: https://doi.org/10.1007/BF01035747
Language: Russian
Citation: V. V. Belyi, Yu. L. Klimontovich, “Kinetic equations in an electron-phonon system”, TMF, 1:3 (1969), 421–429; Theoret. and Math. Phys., 1:3 (1969), 320–325
Citation in format AMSBIB
\Bibitem{BelKli69}
\by V.~V.~Belyi, Yu.~L.~Klimontovich
\paper Kinetic equations in an~electron-phonon system
\jour TMF
\yr 1969
\vol 1
\issue 3
\pages 421--429
\mathnet{http://mi.mathnet.ru/tmf4589}
\transl
\jour Theoret. and Math. Phys.
\yr 1969
\vol 1
\issue 3
\pages 320--325
\crossref{https://doi.org/10.1007/BF01035747}
Linking options:
  • https://www.mathnet.ru/eng/tmf4589
  • https://www.mathnet.ru/eng/tmf/v1/i3/p421
  • This publication is cited in the following 3 articles:
    1. Jiong Zhao, Jia-Qi Huang, Fei Wei, Jing Zhu, “Mass Transportation Mechanism in Electric-Biased Carbon Nanotubes”, Nano Lett., 10:11 (2010), 4309  crossref
    2. A. I. Kasiyan, P. I. Russu, “Charge Carrier Mobility Caused by Scattering from Hybrid Plasmon–Phonon Modes”, Physica Status Solidi (b), 129:1 (1985), 439  crossref
    3. V. I. Emel'yanov, “Kinetic equations for a system of interacting electrons and photons”, Theoret. and Math. Phys., 5:3 (1970), 1270–1275  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:539
    Full-text PDF :254
    References:70
    First page:1
     
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