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A two-dimensional kinetic model of the scrape-off layer

Phys. Plasmas 1, 1882 (1994); doi:10.1063/1.870644

Issue Date: June 1994

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Peter J. Catto
Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712
Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

R. D. Hazeltine
Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712
A two-dimensional (radius and poloidal angle), analytically tractable kinetic model of the ion (or energetic electron) behavior in the scrape-off layer of a limiter or divertor plasma in a tokamak is presented. The model determines the boundary conditions on the core ion density and ion temperature gradients, the power load on the limiter or divertor plates, the energy carried per particle to the walls, and the effective flux limit. The self-consistent electrostatic potential in the quasineutral scrape-off layer is determined by using the ion kinetic model of the layer along with a Maxwell–Boltzmann electron response that occurs because most electrons are reflected by the Debye sheaths (assumed to be infinitely thin) at the limiter or divertor plates. Physics of Plasmas is copyrighted by The American Institute of Physics.
History: Received 4 October 1993; accepted 21 January 1994
Permalink: http://link.aip.org/link/?PHPAEN/1/1882/1
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KEYWORDS and PACS

Keywords
PACS
  • 52.40.Hf
    The physics of plasmas and electric discharges Plasma interactions Solidplasma interactions; wall effects; probes; sheaths
  • 52.55.Fa
    The physics of plasmas and electric discharges Plasma equilibrium and confinement Tokamaks
  • YEAR: 1994

PUBLICATION DATA

ISSN:
1070-664X (print)   1089-7674 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (10)
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  1. P. C. Stangeby and G. M. McCracken, Nucl. Fusion 30, 1225 (1990).
  2. K. Tomabechi, J. R. Gilleland, Yu. A. Sokolov, and R. Toschi, Nucl. Fusion 31, 1135 (1991).
  3. F. L. Hinton and R. D. Hazeltine, Phys. Fluids 17, 2236(1974);
    4. U. Daybelge, Nucl. Fusion 21, 1589 (1981).
  4. D. E. Baldwin, J. G. Cordey, and C. J. H. Watson, Nucl. Fusion 12, 307 (1972).
  5. E. R. Solano and R. D. Hazeltine, Phys. Plasmas 1, 548(1994).
  6. See, for example, E. T. Whittaker and G. N. Watson, A Course of Modern Analysis, 4th ed. (Cambridge University Press, London, 1980), pp. 244–245, 266; W. Magnus, F. Oberhettinger, and R. P. Soni, Formulas and Theorems for the Special Functions of Mathematical Physics, 3rd ed. (Springer, New York, 1966), p. 21.
  7. A. B. Rechester and M. N. Rosenbluth, Phys. Rev. Lett. 40, 38 (1978).
  8. J. R. Myra and P. J. Catto, Phys. Fluids B 4, 176 (1992).
  9. Wolfram Research, Inc., Mathematica, Version 2.2 (Wolfram Research, Inc., Champaign, IL, 1993).
  10. P. Helander and P. J. Catto (private communication, 1992).

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