Energy-conserving Finite-beta Electromagnetic Drift-fluid Equations

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.

24 pages

References in corpus (4)

• The Character of Transport Caused by ExB Drift Turbulence
• Nonlocal Nonlinear Electrostatic Gyrofluid Equations: A four-moment model
• Variational Principles for Lagrangian Averaged Fluid Dynamics
• Noether methods for fluids and plasmas

Cited by in corpus (6)

• On Ohm's law in reduced plasma fluid models
• Nonlinear finite-Larmor-radius effects in reduced fluid models
• Exact conservation laws for gauge-free electromagnetic gyrokinetic equations
• Noether derivation of exact conservation laws for dissipationless reduced-fluid models
• Variational mean-fluctuation splitting and drift-fluid models
• Conservative formulation of the drift-reduced fluid plasma model