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Phase transition in a plasma with anisotropic electron distribution in an external magnetic field

  • Statistical, Nonlinear, and Soft Matter Physics
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Abstract

A phase transition is discussed that can occur in a plasma with substantially different transverse and longitudinal temperatures of electrons moving in a magnetic field, ĭ. The Debye cloud surrounding an ion sharply contracts as T ∥ decreases or the magnetic field increases. The effect of larger radiative electron-ion recombination cross sections compared with their theoretical values is explained; this effect is observed in storage rings with electron cooling systems (coolers). The role played by the phase transition in the crystallization of ion beams is discussed.

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References

  1. G. I. Budker, At. Énerg. 22, 346 (1967).

    Google Scholar 

  2. V. V. Parkhomchuk and A. N. Skrinskii, Usp. Fiz. Nauk 170, 473 (2000) [Phys. Usp. 43, 433 (2000)].

    Google Scholar 

  3. I. N. Meshkov, Fiz. Élem. Chastits At. Yadra 25, 1487 (1994) [Phys. Part. Nucl. 25, 631 (1994)].

    Google Scholar 

  4. G. I. Budker, F. F. Bulyshev, and N. S. Dikanskii, in Proceedings of 5th All-Union Meeting on Charged Particle Accelerators (Nauka, Moscow, 1977), Vol. 1; Preprint No. 76-92, IYaF SO AN SSSR (Inst. of Nuclear Physics, Siberian Division, USSR Academy of Sciences, Novosibirsk, 1976).

    Google Scholar 

  5. W. Shi, S. Bohm, C. Bohme, et al., Eur. Phys. J. D 15, 145 (2001).

    Article  ADS  Google Scholar 

  6. A. V. Gaponov, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 2, 450 (1959).

    Google Scholar 

  7. V. Yu. Trakhtengerts, in Basic Plasma Physics, Ed. by A. A. Galeev and R. N. Sudan (Énergoatomizdat, Moscow, 1984; North-Holland, Amsterdam, 1984), Vol. 2.

    Google Scholar 

  8. S. Ishimaru and M. N. Rosenbluth, Phys. Fluids 13, 2778 (1970).

    Google Scholar 

  9. D. Montgomery, G. Joyce, and L. Turner, Phys. Fluids 17, 954 (1974); Phys. Fluids 17, 2201 (1974).

    MathSciNet  Google Scholar 

  10. A. W. Hyatt, C. F. Driscoll, and J. H. Malmberg, Phys. Rev. Lett. 59, 2975 (1987).

    Article  ADS  Google Scholar 

  11. B. R. Beck, J. Fajans, and J. H. Malmberg, Phys. Rev. Lett. 68, 317 (1992).

    ADS  Google Scholar 

  12. V. D. Shafranov, in Problems of the Plasma Theory (Gosatomizdat, Moscow, 1963), No. 3 [in Russian].

    Google Scholar 

  13. V. V. Zheleznyakov, Radiation in Astrophysical Plasma (Yanus-K, Moscow, 1997) [in Russian].

    Google Scholar 

  14. A. F. Aleksandrov and A. A. Rukhadze, Lectures on Electrodynamics of Plasma-Like Media (Mosk. Gos. Univ., Moscow, 1999) [in Russian].

    Google Scholar 

  15. E. M. Lifshitz and L. P. Pitaevskii, Course of Theoretical Physics, Vol. 10: Physical Kinetics (Nauka, Moscow, 1979; Pergamon, Oxford, 1981).

    Google Scholar 

  16. V. L. Berezinskii, Zh. Éksp. Teor. Fiz. 59, 907 (1970) [Sov. Phys. JETP 32, 493 (1970)]; Zh. Éksp. Teor. Fiz. 61, 1144 (1971) [Sov. Phys. JETP 34, 610 (1972)].

    Google Scholar 

  17. J. M. Kosterlitz and D. J. Thouless, J. Phys. C 6, 1181 (1973).

    Article  ADS  Google Scholar 

  18. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 5: Statistical Physics (Nauka, Moscow, 1976; Pergamon, Oxford, 1980), Part 1, Sect. 8.

    Google Scholar 

  19. A. Muller, S. Schennach, M. Wagner, et al., Phys. Scr. 37, 62 (1991).

    Google Scholar 

  20. H. Gao, D. R. DeWitt, R. Schuch, et al., Phys. Rev. Lett. 75, 4381 (1995).

    Article  ADS  Google Scholar 

  21. G. Gwinner, A. Hoffknecht, T. Bartsch, et al., Phys. Rev. Lett. 84, 4822 (2000).

    Article  ADS  Google Scholar 

  22. G. I. Budker, N. S. Dikansky, V. I. Kudelainen, et al., in Proceedings of 4th All-Union Conference on Charged Particle Accelerators (Nauka, Moscow, 1975), Vol. 2, p. 309.

    Google Scholar 

  23. E. N. Dement’ev, N. S. Dikanskii, A. S. Medvedko, et al., Preprint No. 70-79, IYaF SO AN SSSR (Inst. of Nuclear Physics, Siberian Division, USSR Academy of Sciences, Novosibirsk, 1979).

    Google Scholar 

  24. V. V. Parkhomchuk, in Proceedings of Workshop on Electron Cooling and Related Applications (Kernforschungszentrum, Karlsruhe, 1984).

    Google Scholar 

  25. V. V. Parkhomchuk and A. N. Skrinsky, Rep. Prog. Phys. 54, 919 (1991).

    Article  ADS  Google Scholar 

  26. M. Steck, K. Beckert, H. Eickhoff, et al., Phys. Rev. Lett. 77, 3803 (1996).

    Article  ADS  Google Scholar 

  27. I. Meshkov, A. Sidorin, A. Smirnov, et al., Preprint RIKEN-AF-AC-34 (RIKEN, Tokyo, 2002).

    Google Scholar 

  28. B. Hochadel, F. Albrecht, M. Grieser, et al., in Proceedings of Workshop on Beam Cooling and Related Topics (CERN, Geneva, 1994), p. 198.

    Google Scholar 

  29. J. Wei, H. Okamoto, and A. Sessler, Phys. Rev. Lett. 80, 2606 (1998).

    Article  ADS  Google Scholar 

  30. B. A. Trubnikov, The Plasma Theory (Énergoatomizdat, Moscow, 1996) [in Russian].

    Google Scholar 

  31. A. S. Artamonov and Ya. Derbenev, Nucl. Instrum. Methods Phys. Res. A 284, 248 (1989).

    Article  ADS  Google Scholar 

  32. I. Hofmann, in Proceedings of Workshop on Beam Cooling and Related Topics (CERN, Geneva, 1994), p. 330.

    Google Scholar 

  33. A. Wolf, C. Ellert, M. Grieser, et al., in Proceedings of Workshop on Beam Cooling and Related Topics (CERN, Geneva, 1994), p. 416.

    Google Scholar 

  34. N. N. Bogolyubov, Dynamical Theory Problems in Statistical Physics (Gostekhizdat, Moscow, 1946) [in Russian].

    Google Scholar 

  35. T. L. Hill, Statistical Mechanics: Principles and Selected Applications (McGraw-Hill, New York, 1956; Inostrannaya Literatura, Moscow, 1960).

    Google Scholar 

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Authors and Affiliations

  1. Russian Research Center Kurchatov Institute, Moscow, 123182, Russia

    L. I. Men’shikov

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  1. L. I. Men’shikov
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__________

Translated from Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, Vol. 127, No. 2, 2005, pp. 458–470.

Original Russian Text Copyright © 2005 by Men’shikov.

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Men’shikov, L.I. Phase transition in a plasma with anisotropic electron distribution in an external magnetic field. J. Exp. Theor. Phys. 100, 410–421 (2005). https://doi.org/10.1134/1.1884679

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  • DOI: https://doi.org/10.1134/1.1884679

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