dorsal/arxiv
View SchemaStrong "quantum" chaos in the global ballooning mode spectrum of three-dimensional plasmas
| Authors | R. L. Dewar, C. Cuthbert, R. Ball |
|---|---|
| Categories | |
| ArXiv ID | physics/0102065 |
| URL | https://arxiv.org/abs/physics/0102065 |
| DOI | 10.1103/PhysRevLett.86.2321 |
| Journal | Phys. Rev. Letters 86, 2321-2324 (2001) |
Abstract
The spectrum of ideal magnetohydrodynamic (MHD) pressure-driven (ballooning) modes in strongly nonaxisymmetric toroidal systems is difficult to analyze numerically owing to the singular nature of ideal MHD caused by lack of an inherent scale length. In this paper, ideal MHD is regularized by using a $k$-space cutoff, making the ray tracing for the WKB ballooning formalism a chaotic Hamiltonian billiard problem. The minimum width of the toroidal Fourier spectrum needed for resolving toroidally localized ballooning modes with a global eigenvalue code is estimated from the Weyl formula. This phase-space-volume estimation method is applied to two stellarator cases.
{
"annotation_id": "bc8a5d8c-395c-4ab6-af0f-39bcaac3c91b",
"date_created": "2026-03-02T18:00:36.102000Z",
"date_modified": "2026-03-02T18:00:36.102000Z",
"file_hash": "e4bffae055cb0baaa16bff75e9c80a7c6e09c88765e240008f2841283fb93331",
"private": false,
"record": {
"abstract": "The spectrum of ideal magnetohydrodynamic (MHD) pressure-driven (ballooning)\nmodes in strongly nonaxisymmetric toroidal systems is difficult to analyze\nnumerically owing to the singular nature of ideal MHD caused by lack of an\ninherent scale length. In this paper, ideal MHD is regularized by using a\n$k$-space cutoff, making the ray tracing for the WKB ballooning formalism a\nchaotic Hamiltonian billiard problem. The minimum width of the toroidal Fourier\nspectrum needed for resolving toroidally localized ballooning modes with a\nglobal eigenvalue code is estimated from the Weyl formula. This\nphase-space-volume estimation method is applied to two stellarator cases.",
"arxiv_id": "physics/0102065",
"authors": [
"R. L. Dewar",
"C. Cuthbert",
"R. Ball"
],
"categories": [
"physics.plasm-ph",
"nlin.CD"
],
"doi": "10.1103/PhysRevLett.86.2321",
"journal_ref": "Phys. Rev. Letters 86, 2321-2324 (2001)",
"title": "Strong \"quantum\" chaos in the global ballooning mode spectrum of three-dimensional plasmas",
"url": "https://arxiv.org/abs/physics/0102065"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "34d48c15-4f72-45d1-9197-644218f75eb0",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}