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Nonlinear dynamics of diocotron instability

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Abstract

The nonlinear dynamics of the diocotron instability of an electron beam in a waveguide is investigated by numerical simulations. A study is made of how the structures arising in the beam depend on the geometric parameters of the problem. It is shown that the energy source for such azimuthal structures is the initial (stored in the formation of the beam) electrostatic energy of the unneutralized beam charge.

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References

  1. R. C. Davidson, Theory of Nonneutral Plasmas (Benjamin, New York, 1974; Mir, Moscow, 1978).

    Google Scholar 

  2. A. A. Rukhadze, A. S. Bogdankevich, S. E. Rosinsky, and V. G. Rukhlin, Physics of High-Current Relativistic Electron Beams (Atomizdat, Moscow, 1980) [in Russian].

    Google Scholar 

  3. M. V. Nezlin, Beam Dynamics in Plasma (Énergoizdat, Moscow, 1982) [in Russian].

    Google Scholar 

  4. A. F. Alexandrov, L. S. Bogdankevich, and A. A. Rukhadze, Principles of Plasma Electrodynamics (Vysshaya Shkola, Moscow, 1978; Springer-Verlag, Berlin, 1984).

    Google Scholar 

  5. M. V. Kuzelev, A. A. Rukhadze, and P. S. Strelkov, Plasma Relativistic Microwave Electronics (Mosk. Gos. Tekhn. Univ. im. N.É. Baumana, Moscow, 2002) [in Russian].

    Google Scholar 

  6. H. C. Chen and H. S. Uhm, Phys. Rev. A 32, 1657 (1985).

    Article  ADS  Google Scholar 

  7. R. A. Smith and M. N. Rosenbluth, Phys. Rev. Lett. 64, 649 (1990).

    Article  ADS  Google Scholar 

  8. A. M. Ignatov, Plasma Phys. Controlled Fusion 30, 1845 (1988).

    Article  ADS  Google Scholar 

  9. J. Pétri, Astron. Astrophys. 503, 1 (2009).

    Article  MATH  ADS  Google Scholar 

  10. D. E. Potter, Computational Physics (Wiley, New York, 1973) [Russ. transl., Mir, Moscow, 1975].

    MATH  Google Scholar 

  11. M. V. Kuzelev and A. A. Rukhadze, Electrodynamics of Dense Electron Beams in Plasma (Nauka, Moscow, 1990) [in Russian].

    Google Scholar 

  12. Yu. V. Bobylev, M. V. Kuzelev, and A. A. Rukhadze, Radiotekh. Élektron. (Moscow) 47, 166 (2002).

    Google Scholar 

  13. A. F. Aleksandrov, M. V. Kuzelev, and A. A. Rukhadze, Radiotekh. Élektron. (Moscow) 10, 952 (2006).

    Google Scholar 

  14. M. V. Kuzelev and N. Dzhavan, Fiz. Plazmy 33, 738 (2007) [Plasma Phys. Rep. 33, 672 (2007)].

    Google Scholar 

  15. A. F. Aleksandrov and M. V. Kuzelev, Radiophysics: Physics of Electron Beams and Principles of High-Frequency Electronics (Knizhnyĭ dom “Universitet,” Moscow, 2007) [in Russian].

    Google Scholar 

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Authors and Affiliations

  1. Moscow State University, Moscow, 119992, Russia

    I. N. Kartashov & M. V. Kuzelev

Authors
  1. I. N. Kartashov
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  2. M. V. Kuzelev
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Original Russian Text © I.N. Kartashov, M.V. Kuzelev, 2010, published in Fizika Plazmy, 2010, Vol. 36, No. 6, pp. 566–574.

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Kartashov, I.N., Kuzelev, M.V. Nonlinear dynamics of diocotron instability. Plasma Phys. Rep. 36, 524–532 (2010). https://doi.org/10.1134/S1063780X10060073

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  • DOI: https://doi.org/10.1134/S1063780X10060073

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