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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
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])

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
Copyright
Copyright © Cambridge University Press 2011

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