Magnetic island formation in three-dimensional plasma equilibria

Chris C. Hegna; A. Bhattacharjee

doi:10.1063/1.859152

Magnetic island formation in three-dimensional plasma equilibria

Chris C. Hegna, A. Bhattacharjee

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45 Scopus citations

Abstract

The formation of magnetic islands as a result of plasma pressure in three-dimensional equilibria is investigated by a boundary-layer analysis. Away from a rational surface ("exterior region"), the plasma current is calculated exactly from the equilibrium equations. The singularity in the current thus calculated is resolved by analysis of the equilibrium equations in the vicinity of the rational surface ("inner region"). The Δ′ parameter of tearing mode theory is used to match the inner and outer regions. The island width is found to depend on the resistive interchange criterion, as seen in the work of Glasser, Greene, and Johnson [Phys. Fluids 18,875 (1975)]. Estimates of island sizes for different stellarator experiments are given.

Original language	English (US)
Pages (from-to)	392-397
Number of pages	6
Journal	Physics of Fluids B
Volume	1
Issue number	2
DOIs	https://doi.org/10.1063/1.859152
State	Published - 1989
Externally published	Yes

All Science Journal Classification (ASJC) codes

Computational Mechanics
Condensed Matter Physics
Mechanics of Materials
General Physics and Astronomy
Fluid Flow and Transfer Processes

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10.1063/1.859152

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T1 - Magnetic island formation in three-dimensional plasma equilibria

AU - Hegna, Chris C.

AU - Bhattacharjee, A.

PY - 1989

Y1 - 1989

N2 - The formation of magnetic islands as a result of plasma pressure in three-dimensional equilibria is investigated by a boundary-layer analysis. Away from a rational surface ("exterior region"), the plasma current is calculated exactly from the equilibrium equations. The singularity in the current thus calculated is resolved by analysis of the equilibrium equations in the vicinity of the rational surface ("inner region"). The Δ′ parameter of tearing mode theory is used to match the inner and outer regions. The island width is found to depend on the resistive interchange criterion, as seen in the work of Glasser, Greene, and Johnson [Phys. Fluids 18,875 (1975)]. Estimates of island sizes for different stellarator experiments are given.

AB - The formation of magnetic islands as a result of plasma pressure in three-dimensional equilibria is investigated by a boundary-layer analysis. Away from a rational surface ("exterior region"), the plasma current is calculated exactly from the equilibrium equations. The singularity in the current thus calculated is resolved by analysis of the equilibrium equations in the vicinity of the rational surface ("inner region"). The Δ′ parameter of tearing mode theory is used to match the inner and outer regions. The island width is found to depend on the resistive interchange criterion, as seen in the work of Glasser, Greene, and Johnson [Phys. Fluids 18,875 (1975)]. Estimates of island sizes for different stellarator experiments are given.

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JF - Physics of Fluids B

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Magnetic island formation in three-dimensional plasma equilibria

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