Theoretical framework for strongly magnetized plasmas
Gyrokinetics is a theoretical framework to study plasma behavior on perpendicular spatial scales comparable to the gyroradius and frequencies much lower than the particle cyclotron frequencies.[1]
These particular scales have been experimentally shown to be appropriate for modeling plasma turbulence.[2] The trajectory of charged particles in a magnetic field is a helix that winds around the field line. This trajectory can be decomposed into a relatively slow motion of the guiding center along the field line and a fast circular motion, called gyromotion. For most plasma behavior, this gyromotion is irrelevant. Averaging over this gyromotion reduces the equations to six dimensions (3 spatial, 2 velocity, and time) rather than the seven (3 spatial, 3 velocity, and time). Because of this simplification, gyrokinetics governs the evolution of charged rings with a guiding center position, instead of gyrating charged particles.
^X. Garbet, M. Lesur. Gyrokinetics. hal-03974985, 2023.
^G.R. McKee, C.C. Petty, et al. Non-dimensional scaling of turbulence characteristics and turbulent diffusivity. Nuclear Fusion, 41(9):1235, 2001.
Gyrokinetics is a theoretical framework to study plasma behavior on perpendicular spatial scales comparable to the gyroradius and frequencies much lower...
_{g}={\frac {|q|B}{m}}.} Beam rigidity Cyclotron Magnetosphere particle motion Gyrokinetics Chen, Francis F. (1983). Introduction to Plasma Physics and Controlled...
Gyrokinetic ElectroMagnetic (GEM) is a gyrokinetic plasma turbulence simulation that uses the δ f {\displaystyle \delta f} particle-in-cell method. It...
plasma models: single particle, kinetic, fluid, hybrid kinetic/fluid, gyrokinetic and as system of many particles. The single particle model describes...
{1}{2}}\nabla ^{2}+V(x)+g|\psi |^{2}\right)\psi } Bose–Einstein condensate Gyrokinetics equation 1 + 5 ∂ h s ∂ t + ( v | | b ^ + V → d s + ⟨ V → ϕ ⟩ φ ) ⋅ ∇...
W.; Howes, G. G.; Quataert, E.; Tatsuno, T. (2009). "Astrophysical Gyrokinetics: Kinetic and Fluid Turbulent Cascades in Magnetized Weakly Collisional...
MHD Energy Principle and on the foundations of linear and nonlinear gyrokinetic theory essential to the analysis of microinstabilities and transport...
developed and maintained at General Atomics. It solves the 5-D coupled gyrokinetic-Maxwell equations using a combination of finite difference, finite element...
Global Information