dorsal/arxiv
View SchemaComparison between resistive and collisionless double tearing modes for nearby resonant surfaces
| Authors | Andreas Bierwage, Qingquan Yu |
|---|---|
| Categories | |
| ArXiv ID | physics/0609115 |
| URL | https://arxiv.org/abs/physics/0609115 |
| DOI | 10.1088/0741-3335/49/5/008 |
| Journal | Plasma Phys. Control. Fusion 49 (2007) 675 |
Abstract
The linear instability and nonlinear dynamics of collisional (resistive) and collisionless (due to electron inertia) double tearing modes (DTMs) are compared with the use of a reduced cylindrical model of a tokamak plasma. We focus on cases where two q = 2 resonant surfaces are located a small distance apart. It is found that regardless of the magnetic reconnection mechanism, resistivity or electron inertia, the fastest growing linear eigenmodes may have high poloidal mode numbers m ~ 10. The spectrum of unstable modes tends to be broader in the collisionless case. In the nonlinear regime, it is shown that in both cases fast growing high-m DTMs lead to an annular collapse involving small magnetic island structures. In addition, collisionless DTMs exhibit multiple reconnection cycles due to reversibility of collisionless reconnection and strong ExB flows. Collisionless reconnection leads to a saturated stable state, while in the collisional case resistive decay keeps the system weakly dynamic by driving it back towards the unstable equilibrium maintained by a source term.
{
"annotation_id": "1e7404dd-71a9-41e0-b975-12d9a6df995d",
"date_created": "2026-03-02T18:01:11.178000Z",
"date_modified": "2026-03-02T18:01:11.178000Z",
"file_hash": "508f4ab5d41fce4628dde820d508652faadb41325f1801be0962785fc3374ee0",
"private": false,
"record": {
"abstract": "The linear instability and nonlinear dynamics of collisional (resistive) and\ncollisionless (due to electron inertia) double tearing modes (DTMs) are\ncompared with the use of a reduced cylindrical model of a tokamak plasma. We\nfocus on cases where two q = 2 resonant surfaces are located a small distance\napart. It is found that regardless of the magnetic reconnection mechanism,\nresistivity or electron inertia, the fastest growing linear eigenmodes may have\nhigh poloidal mode numbers m ~ 10. The spectrum of unstable modes tends to be\nbroader in the collisionless case. In the nonlinear regime, it is shown that in\nboth cases fast growing high-m DTMs lead to an annular collapse involving small\nmagnetic island structures. In addition, collisionless DTMs exhibit multiple\nreconnection cycles due to reversibility of collisionless reconnection and\nstrong ExB flows. Collisionless reconnection leads to a saturated stable state,\nwhile in the collisional case resistive decay keeps the system weakly dynamic\nby driving it back towards the unstable equilibrium maintained by a source\nterm.",
"arxiv_id": "physics/0609115",
"authors": [
"Andreas Bierwage",
"Qingquan Yu"
],
"categories": [
"physics.plasm-ph"
],
"doi": "10.1088/0741-3335/49/5/008",
"journal_ref": "Plasma Phys. Control. Fusion 49 (2007) 675",
"title": "Comparison between resistive and collisionless double tearing modes for nearby resonant surfaces",
"url": "https://arxiv.org/abs/physics/0609115"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "b1762f9f-1e79-4ac6-a45c-50ac846238cd",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}