Nonlinear properties of the internalm = 1kink instability in the cylindrical tokamak
作者:
Marshall N. Rosenbluth,
R. Y. Dagazian,
P. H. Rutherford,
期刊:
Physics of Fluids(00319171)
(AIP Available online 1973)
卷期:
Volume 16,
issue 11
页码: 1894-1902
ISSN:0031-9171
年代: 1973
DOI:10.1063/1.1694231
出版商: AIP
数据来源: AIP
摘要:
An analysis is presented, in a cylindrical approximation, of the nonlinear behavior of them = 1magnetohydrodynamic kink instability that occurs in a tokamak when the “safety factor”q(r) = rBz / RB &thgr;(r)falls below unity on axis. A kinked neighboring equilibrium is found, which is accessible from the initial straight equilibrium in the sense of satisfying the flux‐conservation constraints. Owing to the singular nature of the fundamental, all harmonics are excited in a singular region near whereq (r) = 1. The nonlinear amplitude is moderate. It is shown that growing modes of this type should produce negative voltage spikes and inward shifts in major radius, as are seen in the experiments. The predicted magnitudes of these two effects are, however, much smaller than those observed.
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