Abstract
It is generally the case in magnetic fusion devices that the magnetic field is nonuniform, but varies weakly on the scale of the gyro-motion, the fastest nearly recurrent motion of the charged particles comprising the plasma. However, motion along the direction of the field inexorably carries the particle through finite variations of the field, and the environment in which the charged particle is immersed as it executes its motion may vary significantly with these field variations. It is often necessary to consider this nonuniformity in order to involve salient features distinctive of a particular device in phenomena in which they play a significant role.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
M. Abramowitz and I. Stegun (ed.), Handbook of Mathematical Functions, National Bureau of Standards Applied Mathematics Series, Number 55, US Government Printing Office, Washington, DC, 446 (1968).
D. B. Batchelor and R. C. Goldfinger, Rays: A Geometrical Optics Code for EBT, ORNL/TM-6844 (1982).
H. L. Berk, Plasma Phys., 20, 205 (1978).
I. B. Bernstein, Phys. Rev., 109, 10 (1958).
I. B. Bernstein and D. C. Baxter, Phys. Fluids, 24, 108 (1981).
D. T. Blackfield and J. E. Scharer, Nucl. Fusion, 22, 255 (1982).
K. H. Burrell, J. Comput. Phys., 27, 98 (1978).
B. I. Cohen, R. H. Cohen, and T. D. Ronglien,Phys. Fluids, 26, 808 (1983).
P. L. Colestock and R. J. Kashuba, Nucl. Fusion, 23, 763 (1983).
J. W. Connor, R. C. Grimm, R. J. Hastie, and P. M. Keeping, Nucl. Fusion, 13, 211 (1973).
B. Coppi and D. J. Sigmar, Phys. Fluids, 16, 1174 (1973).
J. G. Cordey, K. D. Marx, M. G. McCoy, A. A. Minn, and M. E. Rensink, J. Comput. Phys., 28, 115 (1978).
T. A. Cutler, L. D. Pearlstein, and M. E. Rensink, Computation of the Bounce Average Code, UCRL-52233, LLL. (1977).
H. Dreicer, Phys. Rev., 115, 23 (1959); and 117, 329 (1960).
N. J. Fisch, PPPL-1684 and PPPL-1692 (1980).
N. J. Fisch and A. Bers, Third Topical Meeting on RF Plasma Heating, Caltech (1978).
N. J. Fisch and C. F. Karney, Phys. Fluids, 24, 27 (1981).
R. J. Goldston, Ph.D. Thesis, Princeton University, Princeton, NJ (1977).
G. W. Hammett, J. C. Hosea, R. J. Goldston, D. Q. Hwang, R. Kaita, D. M. Manos, S. Kilpatrick, and J. R. Wilson, 25 Conference of the American Physical Society Division of Plasma Physics, Los Angeles (1983).
R. W. Harvey, K. D. Marx, and M. G. McCoy, Nucl. Fusion, 21, 153 (1981).
F. L. Hinton and R. D. Hazeltine, Phys. Fluids, 48, 239 (1976).
B. H. Hui, N. K. Winsor, and B. Coppi, Phys. Fluids, 20, 1275 (1977).
D. Q. Hwang, C. F. Karney, J. C. Hosea, J. M. Hovey, C. E. Singer, and J. R. Wilson, PPPL 1990 (1983).
R. Kaita, G. J. Goldston, P. Beiersdorfer, D. L. Herndon, J. Hosea, D. Q. Hwang, F. Jobes, D. D. Meyerhofer, and J. R. Wilson, Nucl. Fusion, 23, 1089 (1983).
A. N. Kaufman, Phys. Fluids, 15, 1063 (1972).
C. F. Kennel and F. Englemann, Phys. Fluids, 9, 2377 (1966).
G. D. Kerbel and M. G. McCoy, Comput. Phys. Commun., to be published, May 1986.
J. Kesner, Nucl. Fusion, 18, 781 (1978).
M. Kruskal, J. Math. Phys., 3, 806 (1962).
Y. Matsuda and J. J. Stewart. A Relativistic Multiregion Bounce-Averaged Fokker-Planck Code For Mirror Plasmas, UCRL-92313, (1985).
M. E. Mauel, Ph.D. Thesis, MIT, Cambridge, MA (1982); also PFC/RR-82–29 (1982).
F. W. Perkins, E. J. Valeo, D. C. Eder, D. Q. Hwang, A. Kritz, C. K. Phillips, Y. C. Sun, D. G. Swanson, G. D. Kerbel, M. G. McCoy, J. Killeen, R. W. Harvey, S. C. Chiu, K. Hizanidis, V. Krapchev, D. Hewett, and A. Bers, Plasma Physics and Controlled Nuclear Fusion Research, 1984, 1, 513 (1985).
R. D. Richtmyer and K. W. Morton, Difference Methods for Initial-Value Problems, ed., Interscience, New York, 1967.
M. M. Rosenbluth, R. D. Hazeltine, and F. L. Hinton, Phys. Fluids, 15, 116 (1972).
M. N. Rosenbluth, W. M. MacDonald, and D. L. Judd, Phys. Rev., 107, 1 (1957).
J. E. Scharer, J. B. Beyer, D. T. Blackfield, and T. K. Mau, Nucl. Fusion, 19, 1171 (1979).
L. Spitzer, Physics of Fully Ionized Gases, Interscience, New York, 1967.
L. Spitzer and R. Härm, Phys. Rev., 89, 977 (1953).
T. H. Stix, The Theory of Plasma Waves, McGraw-Hill, New York, 1962.
T. H. Stix, Nucl. Fusion, 15, 737 (1975).
R. E. Stockdale, private communication (1983).
D. G. Swanson, Nucl. Fusion, 23, 949 (1980).
D. G. Swanson, Phys. Fluids, 24, 2038 (1981).
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1986 Springer-Verlag New York Inc.
About this chapter
Cite this chapter
Killeen, J., Kerbel, G.D., McCoy, M.G., Mirin, A.A. (1986). Collisional Kinetic Models of Multispecies Plasmas in Nonuniform Magnetic Fields. In: Computational Methods for Kinetic Models of Magnetically Confined Plasmas. Springer Series in Computational Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85954-0_3
Download citation
DOI: https://doi.org/10.1007/978-3-642-85954-0_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-85956-4
Online ISBN: 978-3-642-85954-0
eBook Packages: Springer Book Archive