Hostname: page-component-8448b6f56d-mp689 Total loading time: 0 Render date: 2024-04-23T13:48:43.788Z Has data issue: false hasContentIssue false
  • English
  • Français

Tokamak transport based on the 13-moment model

Published online by Cambridge University Press:  13 March 2009

Michael K. Tippett
Michael K. Tippett
Affiliation:
Max-Planck-Institut für Plasmaphysik, D-85778 Garching, Germany
Get access Rights & Permissions [Opens in a new window]

Abstract

A new model for collisional transport in a tokamak plasma is analysed. This model is obtained from Grad's 2-fluid 13-moment equations by estimating the order of magnitude of the various effects and neglecting those that are small. The model includes small particle flows, pressure anisotropy and temperature variation within flux surfaces. A formal solution is calculated that satisfies the model equations to O(me/mi). These solutions are found to evolve on a time scale Temi/me ≈ 50 ms.

Type
Research Article
Information
Journal of Plasma Physics , Volume 54 , Issue 1 , August 1995 , pp. 77 - 104
Copyright
Copyright © Cambridge University Press 1995

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

Braginskii, S. I. 1965 Reviews of Plasma Physics, Vol. 1 (ed. Leontovich, M. A.), p. 205. Consultants Bureau, New York.Google Scholar
Chapman, S. & Cowling, T. G. 1970 The Mathematical Theory of Non-Uniform Gases, 3rd edn. Cambridge University Press.Google Scholar
Grad, H. 1949 Cormmun. Pure Appl. Maths 2, 331.CrossRefGoogle Scholar
Herdan, B. & Lily, B. S. 1960 Rev. Mod. Phys. 32, 731.CrossRefGoogle Scholar
Hinton, F. 1983 PlasmaPhysics Handbook, Vol. 1 (ed. Galeev, A. A. & Sudan, R. N.), p. 158. North-Holland, Amsterdam.Google Scholar
Hinton, F. L. & Hazeltine, R. P. 1973 Phys. Fluids 16, 1883.CrossRefGoogle Scholar
Hirschman, S. P. & Sigwar, D. J. 1981 Nucl. Fusion 21, 1079.CrossRefGoogle Scholar
Kolodner, I. I. 1957 Moment descriptions of gas mixtures — I. Courant Institute of Mathematical Sciences Report NYU-7980.Google Scholar
Riedel, K. S. 1991 Nucl. Fusion 5, 927.CrossRefGoogle Scholar
Stevens, D. C., Weitzner, H. & Pfirsch, P. 1992 Phys. Fluids B 4, 2769.CrossRefGoogle Scholar
Weitzner, H. & Kerner, W. 1987 Z. Naturforsch. 42 a, 1101.CrossRefGoogle Scholar