dorsal/arxiv
View SchemaEnergy-conserving Finite-beta Electromagnetic Drift-fluid Equations
| Authors | Alain J. Brizard |
|---|---|
| Categories | |
| ArXiv ID | physics/0506059 |
| URL | https://arxiv.org/abs/physics/0506059 |
| DOI | 10.1063/1.2032739 |
| Journal | Physics of Plasmas, vol. 12, 092302 (2005) |
Abstract
Nonlinear energy-conserving drift-fluid equations that are suitable to describe self-consistent finite-beta low-frequency electromagnetic (drift-Alfven) turbulent fluctuations in a nonuniform, anisotropic, magnetized plasma are derived from a variational principle. The variational principle is based on a drift-fluid Lagrangian that contains linear and nonlinear E x B velocities derived directly from the corresponding single-particle finite-beta gyrocenter Hamiltonian (in the zero-Larmor-radius limit). Covariant electromagnetic effects introduce a magnetic generalization to the standard ion polarization density as well as introduce a new ion magnetization current, which are both missing from existing gyrofluid and drift-fluid Poisson-Ampere equations. An exact energy conservation law is also derived directly from the drift-fluid Lagrangian by application of the Noether method.
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"abstract": "Nonlinear energy-conserving drift-fluid equations that are suitable to\ndescribe self-consistent finite-beta low-frequency electromagnetic\n(drift-Alfven) turbulent fluctuations in a nonuniform, anisotropic, magnetized\nplasma are derived from a variational principle. The variational principle is\nbased on a drift-fluid Lagrangian that contains linear and nonlinear E x B\nvelocities derived directly from the corresponding single-particle finite-beta\ngyrocenter Hamiltonian (in the zero-Larmor-radius limit). Covariant\nelectromagnetic effects introduce a magnetic generalization to the standard ion\npolarization density as well as introduce a new ion magnetization current,\nwhich are both missing from existing gyrofluid and drift-fluid Poisson-Ampere\nequations. An exact energy conservation law is also derived directly from the\ndrift-fluid Lagrangian by application of the Noether method.",
"arxiv_id": "physics/0506059",
"authors": [
"Alain J. Brizard"
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"physics.plasm-ph"
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"doi": "10.1063/1.2032739",
"journal_ref": "Physics of Plasmas, vol. 12, 092302 (2005)",
"title": "Energy-conserving Finite-beta Electromagnetic Drift-fluid Equations",
"url": "https://arxiv.org/abs/physics/0506059"
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