Published April 1979 | Version v1
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Eigenvalue problem and nonlinear evolution of kink modes in a toroidal plasma

  • 1. Nagoya Univ. (Japan). Research Inst. of Atmospherics

Description

The internal kink modes of a cylindrical plasma are investigated by a linear eigen value problem and their nonlinear evolution is studied by 3-dimensional MHD simulation based on the rectangular column model under the fixed boundary condition. The growth rates in two cases, namely uniform and diffused current profiles are analyzed in detail, which agree with the analytical estimation by Shafranov. The time evolution of the m = 1 mode showed that q > 1 is satisfied at the relaxation time (q safety factor), a stable configuration like a horse shoe (a new equilibrium) was formed. Also, the time evolution of the pressure p for the m = 2 mode showed that a stable configuration like a pair of anchors was formed. (author)

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Publishing Information

Imprint Pagination
54 p.
Report number
IPPJ--382