dorsal/arxiv
View SchemaExact nonlinear analytic Vlasov-Maxwell tangential equilibria with arbitrary density and temperature profiles
| Authors | Fabrice Mottez |
|---|---|
| Categories | |
| ArXiv ID | physics/0401145 |
| URL | https://arxiv.org/abs/physics/0401145 |
| DOI | 10.1063/1.1625373 |
| Journal | Phys. Fluids 10 (2003) Phys. Plasmas, 10, pp. 2501-2508 |
Abstract
The tangential layers are characterized by a bulk plasma velocity and a magnetic field that are perpendicular to the gradient direction. They have been extensively described in the frame of the Magneto-Hydro-Dynamic (MHD) theory. But the MHD theory does not look inside the transition region if the transition has a size of a few ion gyroradii. A series of kinetic tangential equilibria, valid for a collisionless plasma is presented. These equilibria are exact analytical solutions of the Maxwell-Vlasov equations. The particle distribution functions are sums of an infinite number of elementary functions parametrized by a vector potential. Examples of equilibria relevant to space plasmas are shown. A model for the deep and sharp density depletions observed in the auroral zone of the Earth is proposed. Tangential equilibria are also relevant for the study of planetary environments and of remote astrophysical plasmas.
{
"annotation_id": "3cc13211-b0cf-43f0-9543-cdecbf186e01",
"date_created": "2026-03-02T18:00:49.120000Z",
"date_modified": "2026-03-02T18:00:49.120000Z",
"file_hash": "fdcd50ce1fce68652c2e4227f6dccf1ce506eda934373ded64ce53daf3094d08",
"private": false,
"record": {
"abstract": "The tangential layers are characterized by a bulk plasma velocity and a\nmagnetic field that are perpendicular to the gradient direction. They have been\nextensively described in the frame of the Magneto-Hydro-Dynamic (MHD) theory.\nBut the MHD theory does not look inside the transition region if the transition\nhas a size of a few ion gyroradii. A series of kinetic tangential equilibria,\nvalid for a collisionless plasma is presented. These equilibria are exact\nanalytical solutions of the Maxwell-Vlasov equations. The particle distribution\nfunctions are sums of an infinite number of elementary functions parametrized\nby a vector potential. Examples of equilibria relevant to space plasmas are\nshown. A model for the deep and sharp density depletions observed in the\nauroral zone of the Earth is proposed. Tangential equilibria are also relevant\nfor the study of planetary environments and of remote astrophysical plasmas.",
"arxiv_id": "physics/0401145",
"authors": [
"Fabrice Mottez"
],
"categories": [
"physics.space-ph",
"physics.plasm-ph"
],
"doi": "10.1063/1.1625373",
"journal_ref": "Phys. Fluids 10 (2003) Phys. Plasmas, 10, pp. 2501-2508",
"title": "Exact nonlinear analytic Vlasov-Maxwell tangential equilibria with arbitrary density and temperature profiles",
"url": "https://arxiv.org/abs/physics/0401145"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "2a1f69a7-49ba-4c4d-8f54-020e33d48b8e",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}