dorsal/arxiv
View SchemaA guiding-center Fokker-Planck collision operator for nonuniform magnetic fields
| Authors | Alain J. Brizard |
|---|---|
| Categories | |
| ArXiv ID | physics/0405052 |
| URL | https://arxiv.org/abs/physics/0405052 |
| DOI | 10.1063/1.1780532 |
| Journal | Physics of Plasmas, vol. 11, 4429-4438 (2004) |
Abstract
A new formulation for collisional kinetic theory is presented based on the use of Lie-transform methods to eliminate fast orbital time scales from a general bilinear collision operator. As an application of this new formalism, a general guiding-center bilinear Fokker-Planck (FP) collision operator is derived following the elimination of the fast gyromotion time scale of a charged particle moving in a nonuniform magnetic field. It is expected that classical transport processes in a strongly magnetized nonuniform plasma can, thus, be described in terms of this reduced guiding-center FP kinetic theory. The present paper introduces the reduced-collision formalism only while its applications are left to future work.
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"abstract": "A new formulation for collisional kinetic theory is presented based on the\nuse of Lie-transform methods to eliminate fast orbital time scales from a\ngeneral bilinear collision operator. As an application of this new formalism, a\ngeneral guiding-center bilinear Fokker-Planck (FP) collision operator is\nderived following the elimination of the fast gyromotion time scale of a\ncharged particle moving in a nonuniform magnetic field. It is expected that\nclassical transport processes in a strongly magnetized nonuniform plasma can,\nthus, be described in terms of this reduced guiding-center FP kinetic theory.\nThe present paper introduces the reduced-collision formalism only while its\napplications are left to future work.",
"arxiv_id": "physics/0405052",
"authors": [
"Alain J. Brizard"
],
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"physics.plasm-ph"
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"doi": "10.1063/1.1780532",
"journal_ref": "Physics of Plasmas, vol. 11, 4429-4438 (2004)",
"title": "A guiding-center Fokker-Planck collision operator for nonuniform magnetic fields",
"url": "https://arxiv.org/abs/physics/0405052"
},
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