Skip to main content
SpringerLink
Log in

Resonance processes in magnetic traps

  • Published:
The Soviet Journal of Atomic Energy Aims and scope

Abstract

An analysis is made of resonances between the Larmor rotation of charged particles in a magnetic field and the slow oscillations along the field lines. It is shown that under certain conditions these resonances can lead to the complete exchange of energy between the degrees of freedom of a particle and can cause its escape from the trap. Consideration is also given to the effect of resonances on adiabatic processes associated with a variation of the magnetic field as a function of time.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literature cited

  1. G. I. Budker, Coll.: Plasma Physics and the Problem of a Controlled Thermonuclear Reaction.3 [in Russian] (Izd. AN SSSR, 1958) p. 3.

  2. A. Bishop, Project Sherwood. USA (Mass., Addison-Wesley Publishing Company, Inc., 1958).

    Google Scholar 

  3. D. Judd, W. McDonald, and M. Rosenbluth, Conference on Controlled Thermonuclear Reactions (Berkeley, California, February, 1955).

  4. L. A. Artsimovich, Proc. of the Second International Conference on the Peaceful Uses of Atomic Energy, Geneva, 1958.1 Nuclear Physics [in Russian] (Atomizdat, 1959) p. 5.

  5. R. Post,“Summary of UCRL pyrotron (mirror machine) program,” Report No. 377, presented by U. S. to the Second International Conference on the Peaceful Uses of Atomic Energy (Geneva, 1958).

  6. O. B. Firsov, Coll.:Plasma Physics and the Problem of a Controlled Thermonuclear Reaction.3 [in Russian] (Izd. AN SSSR, 1958) p. 259.

  7. R. Kulsrud, Phys. Rev.106, 205 (1957).

    Google Scholar 

  8. V. M. Volosov, Doklady Akad. Nauk SSSR121, 22 (1958).

    Google Scholar 

  9. A. A. Andronov, M. A. Leontovich, and L. I. Mandel'shtam, Zhur. Russ. Fiz,-Khim. Obshchestva60, 413 (1928).

    Google Scholar 

  10. B. V. Chirikov, Doklady Akad. Nauk SSSR125, No. 5 (1959).

  11. N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian] (Fizmatgiz, 1958).

  12. F. Howard, Proc. of the CERN Conference on a 20–25 Bev Proton Synchrotron with Strong Focusing (Oct., 1953).

  13. M. Kane, Ibid.

  14. A. Garren, et al., Report No. 383, presented by U. S. to the Second International Conference on the Peaceful Uses of Atomic Energy (Geneva, 1958).

  15. S. N. Rodionov, Atomnaya Énergiya6, 623 (1959).

    Google Scholar 

  16. B. B. Kadomtsev, ColL.: Plasma Physics and the Problem of a Controlled Thermonuclear Reaction,3 [in Russian] (Izd. AN SSSR, 1958) p. 285.

  17. P. Z. Sagdeev, Ibid., p. 346.

  18. A. V. Gaponov and M. A. Miller, Zhur. Éksp. i Teor. Fiz.34, 242 (1958).

    Google Scholar 

Download references

Authors
  1. B. V. Chirikov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

We wish to take this opportunity to thank G. I. Budker for valuable discussions.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chirikov, B.V. Resonance processes in magnetic traps. The Soviet Journal of Atomic Energy 6, 464–470 (1960). https://doi.org/10.1007/BF01483352

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01483352

Keywords

Search

Navigation