dorsal/arxiv
View SchemaRelativistic quantum plasma dispersion functions
| Authors | D. B. Melrose, J. I. Weise, J. McOrist |
|---|---|
| Categories | |
| ArXiv ID | physics/0603223 |
| URL | https://arxiv.org/abs/physics/0603223 |
| DOI | 10.1088/0305-4470/39/27/011 |
Abstract
Relativistic quantum plasma dispersion functions are defined and the longitudinal and transverse response functions for an electron (plus positron) gas are written in terms of them. The dispersion is separated into Landau-damping, pair-creation and dissipationless regimes. Explicit forms are given for the RQPDFs in the cases of a completely degenerate distribution and a nondegenerate thermal (J\"uttner) distribution. Particular emphasis is placed on the relation between dissipation and dispersion, with the dissipation treated in terms of the imaginary parts of RQPDFs. Comparing the dissipation calculated in this way with the existing treatments leads to the identification of errors in the literature, which we correct. We also comment on a controversy as to whether the dispersion curves in a superdense plasma pass through the region where pair creation is allowed.
{
"annotation_id": "2f3e1df8-ff75-4471-8961-bcae253bf3be",
"date_created": "2026-03-02T18:01:07.087000Z",
"date_modified": "2026-03-02T18:01:07.087000Z",
"file_hash": "b26467771ede123fa2bc107184a9a97367aefa75ed7d5ac39986ce5bdfd5f797",
"private": false,
"record": {
"abstract": "Relativistic quantum plasma dispersion functions are defined and the\nlongitudinal and transverse response functions for an electron (plus positron)\ngas are written in terms of them. The dispersion is separated into\nLandau-damping, pair-creation and dissipationless regimes. Explicit forms are\ngiven for the RQPDFs in the cases of a completely degenerate distribution and a\nnondegenerate thermal (J\\\"uttner) distribution. Particular emphasis is placed\non the relation between dissipation and dispersion, with the dissipation\ntreated in terms of the imaginary parts of RQPDFs. Comparing the dissipation\ncalculated in this way with the existing treatments leads to the identification\nof errors in the literature, which we correct. We also comment on a controversy\nas to whether the dispersion curves in a superdense plasma pass through the\nregion where pair creation is allowed.",
"arxiv_id": "physics/0603223",
"authors": [
"D. B. Melrose",
"J. I. Weise",
"J. McOrist"
],
"categories": [
"physics.plasm-ph"
],
"doi": "10.1088/0305-4470/39/27/011",
"title": "Relativistic quantum plasma dispersion functions",
"url": "https://arxiv.org/abs/physics/0603223"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "36191bd6-b05e-43f2-aa02-d004ff8dcd27",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}