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Numerical study of precession of circulating particles in tokamaks

Published online by Cambridge University Press:  06 January 2011

O. S. BURDO ,
YA. I. KOLESNICHENKO ,
S. SIPILÄ  and
YU. V. YAKOVENKO
O. S. BURDO
Affiliation:
Institute for Nuclear Research, Prospekt Nauky 47, Kyiv, Ukraine ([email protected])
YA. I. KOLESNICHENKO
Affiliation:
Institute for Nuclear Research, Prospekt Nauky 47, Kyiv, Ukraine ([email protected])
S. SIPILÄ
Affiliation:
Aalto University, Department of Applied Physics, P.O. Box 14100, Aalto, Finland
YU. V. YAKOVENKO
Affiliation:
Institute for Nuclear Research, Prospekt Nauky 47, Kyiv, Ukraine ([email protected])
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Abstract

The toroidal precession of circulating particles in tokamaks is studied numerically. The dependence of the precession frequency on the magnetic shear, the elongation of the plasma cross-section, and plasma pressure is investigated. It is concluded that the analytical expressions for the precession frequency by Kolesnichenko et al. (2003 Phys. Plasmas10, 1449–1457) represent a reasonable approximation for the limit cases of tokamaks with circular cross-section and shearless tokamaks with elliptical cross-section. The precession frequency was calculated for non-circular tokamaks with magnetic shear. Based on the numerical results, an interpolation formula for the precession frequency is proposed.

Type
Papers
Information
Journal of Plasma Physics , Volume 77 , Issue 4 , August 2011 , pp. 559 - 569
Copyright
Copyright © Cambridge University Press 2011

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References

Boozer, A. H. 1981 Plasma equilibrium with rational magnetic surfaces. Phys. Fluids 24, 1999–2003.CrossRefGoogle Scholar
Boozer, A. H. 1995 Quasi-helical symmetry in stellarators. Plasma Phys. Control. Fusion 37, A103–A117.CrossRefGoogle Scholar
Chen, L., White, R. B. and Rosenbluth, M. N. 1984 Excitation of internal kink modes by trapped energetic beam ions. Phys. Rev. Lett. 52, 1122–1125.CrossRefGoogle Scholar
Coppi, B. and Porcelli, F. 1986 Theoretical model of fishbone oscillations in magnetically confined plasmas. Phys. Rev. Lett. 57, 2272–2275.CrossRefGoogle ScholarPubMed
Kolesnichenko, Ya. I. and Yakovenko, Yu. V. 1996 Theory of fast ion transport during sawtooth crashes in tokamaks. Nucl. Fusion 36, 159–172.Google Scholar
Kolesnichenko, Ya. I., Lutsenko, V. V., White, R. B., Yakovenko, Yu. V. and Zweben, S. J. 1998 Behavior of MeV ions in the presence of sawtooth oscillations in TFTR and JET. In: 17th Fusion Energy Conference (Yokohama, Japan, 1998), CD-ROM file THP2/25. IAEA.Google Scholar
Kolesnichenko, Ya. I., Lutsenko, V. V., White, R. B. and Yakovenko, Yu. V. 2000 Effect of sawtooth oscillations on energetic ions. Nucl. Fusion 20, 1325–1341.CrossRefGoogle Scholar
Kolesnichenko, Ya. I., White, R. B. and Yakovenko, Yu. V. 2003 Precession of toroidally passing particles in tokamaks and spherical tori. Phys. Plasmas 10, 1449–1457.CrossRefGoogle Scholar
Kolesnichenko, Ya. I., Lutsenko, V. V., Marchenko, V. S. and White, R. B. 2007 Stabilization of the quasi-interchange mode in tokamaks by circulating energetic ions. Phys. Plasmas 14, 012504.CrossRefGoogle Scholar
Muscatello, C. M., Heidbrink, W. W., Kolesnichenko, Ya. I., Lutsenko, V. V., Yakovenko, Yu. V., Lazarus, E. A., Van Zeeland, M. A. and Yu, G. H. 2009 Fast ion transport during sawteeth in the DIII-D tokamak. Bull. Am. Phys. Soc. 54 (15), JP8.00108.Google Scholar
Porcelli, F. 1991 Fast particle stabilisation. Plasma Phys. Control. Fusion 33, 1601–1620.Google Scholar
Redi, M. H., Darrow, D. S., Egedal, J., Kaye, S. M. and White, R. B. 2002 Calculations of neutral beam ion confinement for the National Spherical Torus Experiment. In: Plasma Physics and Controlled Fusion (Proc. 29th EPS Conf. Montreux, 2002) Europhys. Conf. Abstr., Vol. 26B, EPS, CD-ROM file P-1.081.Google Scholar
Sipilä, S. 1997 Monte Carlo simulation of charged particle orbits in the presence of radiofrequency waves in tokamak plasmas, Report of Department of Engineering Physics and Mathematics, Helsinki University of Technology, Espoo, Finland.Google Scholar
Solov'ev, L. S. and Shafranov, V. D. 1970 In: Reviews of Plasma Physics, Vol. 5 (ed. Leontovich, M. A.), New York: Consultants Bureau, pp. 1–247.Google Scholar
Zakharov, L. E. and Pletzer, A. 1999 Theory of perturbed equilibria for solving the Grad–Shafranov equation. Phys. Plasmas 6, 4693–4704.Google Scholar