Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-29T13:36:05.336Z Has data issue: false hasContentIssue false
  • English
  • Français

Tokamak divertor maps

Published online by Cambridge University Press:  13 March 2009

Alkesh Punjabi ,
Arun Verma  and
Allen Boozer
Alkesh Punjabi
Affiliation:
Hampton Univerity, Hampton, Virginia 23668, U.S.A.
Arun Verma
Affiliation:
Hampton Univerity, Hampton, Virginia 23668, U.S.A.
Allen Boozer
Affiliation:
College of William and Mary, Williamsburg, Virginia 23185, U.S.A., and Max-Planck Institute fur Plasmaphysik, D8046 Graching, Germany
Get access Rights & Permissions [Opens in a new window]

Abstract

A mapping method is developed to investigate the problem of determination and control of heat-deposition patterns on the plates of a tokamak divertor. The deposition pattern is largely determined by the magnetic field lines, which are mathematically equivalent to the trajectories of a single-degree-of-freedom time-dependent Hamiltonian system. Maps are natural tools to study the generic features of such systems. The general theory of maps is presented, and methods for incorporating various features of the magnetic field and particle motion in divertor tokamaks are given. Features of the magnetic field include the profile of the rotational transform, single- versus double-null divertor, reverse map, the effects of naturally occurring low M and N, and externally imposed high-M, high-N perturbations. Particle motion includes radial diffusion, pitch angle and energy scattering, and the electric sheath at the plate. The method is illustrated by calculating the stochastic broadening in a single- null divertor tokamak. Maps provide an efficient, economic and elegant method to study the problem of motion of plasma particles in the stochastic scrape-off layer.

Type
Research Article
Information
Journal of Plasma Physics , Volume 52 , Issue 1 , August 1994 , pp. 91 - 111
Copyright
Copyright © Cambridge University Press 1994

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Boozer, A. 1983 Phys. Fluids 26, 1288.Google Scholar
Boozer, A. & Petravic, G. 1981 Phys. Fluids 24, 851.CrossRefGoogle Scholar
Boozer, A. & Rechester, A. 1978 Phys. Fluids 21, 682.CrossRefGoogle Scholar
Cary, J. R. & Littlejohn, R. G. 1983 Ann. Phys. (NY) 151, 1.CrossRefGoogle Scholar
Le Haye, R. J. 1991 Nucl. Fusion 31, 1550.CrossRefGoogle Scholar
Lichtenberg, A. J. & Liberman, M. A. 1983 Regular and Stochastic Motion. Springer.Google Scholar
Martin, T. J. & Taylor, J. B. 1984 Plasma Phys. Contr. Fusion 28, 321.Google Scholar
Pomphrey, N. & Reiman, A. 1992 Phys. Fluids B 4, 938.CrossRefGoogle Scholar
Post, D. E. et XXXVII al. (and other International contributors) 1991 ITER Physics. ITER Documentation Series no. 21. IAEA.Google Scholar
Punjabi, A., Boozer, A., Lam, M., Kim, M. & Burke, K. 1990 J. Plasma Phys. 44, 405.Google Scholar
Punjabi, A., Verma, A. & Boozer, A. 1992 Phys. Rev. Lett. 69, 3322.CrossRefGoogle Scholar
Whittaker, E. T. 1937 A Treatise on the Analytical Dynamics of Particles and Rigid Bodies. Cambridge University Press.Google Scholar