Kinetic background

GyroMaxwellian2D

A gyrotropic struphy.kinetic_background.base.Maxwellian depending on

two velocities $(v_{∥}, μ)$ , $n = 2$ , where $v_{∥} = v \cdot b_{0}$ and $μ = v_{⊥}^{2} / (2 B_{0})$ is the magnetic moment, with $B_{0}$ the background magnetic field strength.

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Phase space

Velocity dimension: 2
Velocity coordinates: vpara_mu
Axes: v∥ · μ
Volume form: yes — includes the velocity Jacobian

Velocity-space distribution

f₀ over (v∥, μ), at logical position η = (0.5, 0.5, 0.5).

f₀(v∥, μ)v∥–μ · 1.67e-10 to 7.93e-1

v∥: -5 to 5
μ: 0 to 5

Reduced profiles

The distribution along each velocity axis, with every other phase-space axis integrated out.

v∥-5 to 5 · peak 3.98e-1

μ0 to 5 · peak 2.00e+0

Parameters

Constructor defaults. Moments are given as a background value (a float or a callable) paired with an optional perturbation.

Parameter	Default	Perturbation	Description
`n`	`1`	`None`	Moments of the Maxwellian as tuples. The first entry defines the background (float for constant background or callable), the second entry defines a Perturbation (can be None).
`u_para`	`0`	`None`	Moments of the Maxwellian as tuples. The first entry defines the background (float for constant background or callable), the second entry defines a Perturbation (can be None).
`u_perp`	`0`	`None`	Moments of the Maxwellian as tuples. The first entry defines the background (float for constant background or callable), the second entry defines a Perturbation (can be None).
`vth_para`	`1`	`None`	Moments of the Maxwellian as tuples. The first entry defines the background (float for constant background or callable), the second entry defines a Perturbation (can be None).
`vth_perp`	`1`	`None`	Moments of the Maxwellian as tuples. The first entry defines the background (float for constant background or callable), the second entry defines a Perturbation (can be None).
`volume_form`	`true`	—	Whether to represent the Maxwellian as a volume form; if True it is multiplied by the Jacobian determinant \|v_perp\| of the polar coordinate transofrmation (default = False).
`B0`	`2`	—	Constant or callable background magnetic field strength (default = 2.0).
`uniform_on_disc`	`false`	—	Whether the density n is uniform on the disc.