dorsal/arxiv
View SchemaAnderson-Localized Ballooning Modes in General Toroidal Plasmas
| Authors | P. Cuthbert, R. L. Dewar |
|---|---|
| Categories | |
| ArXiv ID | physics/9909063 |
| URL | https://arxiv.org/abs/physics/9909063 |
| DOI | 10.1063/1.874064 |
| Journal | Phys Plasmas 7, 2302-2305 (2000) |
Abstract
Ballooning instabilities are investigated in three-dimensional magnetic toroidal plasma confinement systems with low global magnetic shear. The lack of any continuous symmetry in the plasma equilibrium can lead to these modes being localized along the field lines by a process similar to Anderson localization. This produces a multibranched local eigenvalue dependence, where each branch corresponds to a different unit cell of the extended covering space in which the eigenfunction peak resides. These phenomena are illustrated numerically for the three-field-period heliac H-1, and contrasted with an axisymmetric $s$-$\alpha$ tokamak model. The localization allows a perturbative expansion about zero shear, enabling the effects of shear to be investigated.
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"abstract": "Ballooning instabilities are investigated in three-dimensional magnetic\ntoroidal plasma confinement systems with low global magnetic shear. The lack of\nany continuous symmetry in the plasma equilibrium can lead to these modes being\nlocalized along the field lines by a process similar to Anderson localization.\nThis produces a multibranched local eigenvalue dependence, where each branch\ncorresponds to a different unit cell of the extended covering space in which\nthe eigenfunction peak resides. These phenomena are illustrated numerically for\nthe three-field-period heliac H-1, and contrasted with an axisymmetric\n$s$-$\\alpha$ tokamak model. The localization allows a perturbative expansion\nabout zero shear, enabling the effects of shear to be investigated.",
"arxiv_id": "physics/9909063",
"authors": [
"P. Cuthbert",
"R. L. Dewar"
],
"categories": [
"physics.plasm-ph"
],
"doi": "10.1063/1.874064",
"journal_ref": "Phys Plasmas 7, 2302-2305 (2000)",
"title": "Anderson-Localized Ballooning Modes in General Toroidal Plasmas",
"url": "https://arxiv.org/abs/physics/9909063"
},
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