dorsal/arxiv
View SchemaShafranov's virial theorem and magnetic plasma confinement
| Authors | Ludvig Faddeev, Lisa Freyhult, Antti J. Niemi, Peter Rajan |
|---|---|
| Categories | |
| ArXiv ID | physics/0009061 |
| URL | https://arxiv.org/abs/physics/0009061 |
| DOI | 10.1088/0305-4470/35/11/101 |
| Journal | J.Phys. A35 (2002) L133-L140 |
Abstract
Shafranov's virial theorem implies that nontrivial magnetohydrodynamical equilibrium configurations must be supported by externally supplied currents. Here we extend the virial theorem to field theory, where it relates to Derrick's scaling argument on soliton stability. We then employ virial arguments to investigate a realistic field theory model of a two-component plasma, and conclude that stable localized solitons can exist in the bulk of a finite density plasma. These solitons entail a nontrivial electric field which implies that purely magnetohydrodynamical arguments are insufficient for describing stable, nontrivial structures within the bulk of a plasma.
{
"annotation_id": "e7f2ebe8-a57b-4dd3-b110-c059fe9f9a96",
"date_created": "2026-03-02T18:00:32.417000Z",
"date_modified": "2026-03-02T18:00:32.417000Z",
"file_hash": "958384b2ab49bb6e6148e33b7dbda6b1127ccdb7272fd1e4ba67bc24fe4b7780",
"private": false,
"record": {
"abstract": "Shafranov\u0027s virial theorem implies that nontrivial magnetohydrodynamical\nequilibrium configurations must be supported by externally supplied currents.\nHere we extend the virial theorem to field theory, where it relates to\nDerrick\u0027s scaling argument on soliton stability. We then employ virial\narguments to investigate a realistic field theory model of a two-component\nplasma, and conclude that stable localized solitons can exist in the bulk of a\nfinite density plasma. These solitons entail a nontrivial electric field which\nimplies that purely magnetohydrodynamical arguments are insufficient for\ndescribing stable, nontrivial structures within the bulk of a plasma.",
"arxiv_id": "physics/0009061",
"authors": [
"Ludvig Faddeev",
"Lisa Freyhult",
"Antti J. Niemi",
"Peter Rajan"
],
"categories": [
"physics.plasm-ph",
"astro-ph",
"hep-th"
],
"doi": "10.1088/0305-4470/35/11/101",
"journal_ref": "J.Phys. A35 (2002) L133-L140",
"title": "Shafranov\u0027s virial theorem and magnetic plasma confinement",
"url": "https://arxiv.org/abs/physics/0009061"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "8255d562-c98e-4031-879d-c256fb1017fd",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}