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Orbit-averaged guiding-center Fokker–Planck operator

Phys. Plasmas 16, 102304 (2009); doi:10.1063/1.3249627

Published 12 October 2009

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A. J. Brizard,1 J. Decker,2 Y. Peysson,2 and F.-X. Duthoit2
1Department of Chemistry and Physics, Saint Michael's College, Colchester, Vermont 05439, USA
2CEA, IRFM, Saint-Paul-lez-Durance F-13108, France
A general orbit-averaged guiding-center Fokker–Planck operator suitable for the numerical analysis of transport processes in axisymmetric magnetized plasmas is presented. The orbit-averaged guiding-center operator describes transport processes in a three-dimensional guiding-center invariant space: the orbit-averaged magnetic-flux invariant [overline psi ], the minimum-B pitch-angle coordinate xi0, and the momentum magnitude p. ©2009 American Institute of Physics
History: Received 23 June 2009; accepted 25 September 2009; published 12 October 2009
Permalink: http://link.aip.org/link/?PHPAEN/16/102304/1
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KEYWORDS and PACS

Keywords
PACS
  • 52.25.Fi
    Plasma transport properties
  • 52.65.Ff
    Fokker-Planck and Vlasov equation (plasma simulation)
  • YEAR: 2009

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PUBLICATION DATA

ISSN:
1070-664X (print)   1089-7674 (online)
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REFERENCES (26)
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  1. S. I. Braginskii, in Reviews of Plasma Physics (Consultants Bureau, New York, 1965), Vol. 1, p. 205.
  2. F. L. Hinton and R. D. Hazeltine, Rev. Mod. Phys. 48, 239 (1976).
  3. A. N. Kaufman, Phys. Fluids 15, 1063 (1972).
  4. A. J. Brizard and A. A. Chan, Phys. Plasmas 11, 4220 (2004).
  5. R. G. Littlejohn, J. Plasma Phys. 29, 111 (1983).
  6. For a recent review of Hamiltonian guiding-center theory, see J. R. Cary and A. J. Brizard, Rev. Mod. Phys. 81, 693 (2009).
  7. A. J. Brizard, Phys. Plasmas 11, 4429 (2004).
  8. A. J. Brizard, Phys. Plasmas 7, 3238 (2000).
  9. X. Tao, A. A. Chan, and A. J. Brizard, Phys. Plasmas 14, 092107 (2007).
  10. A. J. Brizard and A. A. Chan, Phys. Plasmas 6, 4548 (1999).
  11. W. A. Cooper, Plasma Phys. Controlled Fusion 39, 931 (1997).
  12. R. B. White, AIP Conf. Proc. 1013, 59 (2008)
    13. 1013, 127 (2008).
  13. We note that the safety factor q is equal to zero for an axisymmetric dipole magnetic field (since Bphi=Bphi/|[del]phi|2[equivalent]0).
  14. J. A. Rome and Y. -K. M. Peng, Nucl. Fusion 19, 1193 (1979).
  15. L. -G. Eriksson and F. Porcelli, Plasma Phys. Controlled Fusion 43, R145 (2001).
  16. F. S. Zaitsev, M. R. O'Brien, and M. Cox, Phys. Fluids B 5, 509 (1993).
  17. A brief review of the Fokker–Planck equation is presented by A. G. Peeters and D. Strintzi, Ann. Phys. 17, 142 (2008).
  18. I. B. Bernstein and K. Molvig, Phys. Fluids 26, 1488 (1983).
  19. It is important to note here that the guiding-center distribution is independent of the gyroangle zetag in the absence of collisions only if the full guiding-center phase-space transformation [with higher-order corrections associated with magnetic-field nonuniformity (Ref. 5)] is considered.
  20. C. T. Hsu and D. J. Sigmar, Phys. Fluids B 4, 1492 (1992).
  21. J. Egedal, Nucl. Fusion 40, 1597 (2000).
  22. S. C. Chiu, V. S. Chan, and Y. A. Omelchenko, Phys. Plasmas 9, 877 (2002).
  23. C. Karney, Comput. Phys. Rep. 4, 183 (1986).
  24. Y. Peysson and J. Decker, AIP Conf. Proc. 1069, 176 (2008).
  25. Y. Peysson and J. Decker, “Fully implicit formulation of the 3-D linearized relativistic bounce-averaged Fokker–Planck equation in a magnetized plasma,” Comput. Phys. Commun. (submitted).
  26. J. Decker and Y. Peysson. “LUKE: a fast numerical solver for the 3-D relativistic linearized bounce-averaged electron Fokker–Planck equation,” Comput. Phys. Commun. (submitted).

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