Full text loading...
1-D test field for quasi-equilibrium analysis. Note that the distance between dipoles is 2L while the domain under consideration is 2D.
Density profile that results from an isotropic distribution of particles injected at position . The velocity space overlays show the behavior of particles along various points of the magnetic field line.
Graphic series depicting the thermalization process. (1) Particles within a differential element are isolated. (2) Differential population undergoes velocity space diffusion. Particles that enter the loss cone are lost to the domain boundaries. (3) Remaining particles are redistributed along the field line based on the original position of the differential element. (4) Differential profiles are integrated to find the post-collision profile. For clarity, profiles in (4) are not normalized.
Insertion shape functions, , calculated for Eq. (1) yield the normalized distribution along x given an insertion point .
Normalized density profile evolution for three separate initial condition profiles. The profiles converge after a few thermalization cycles regardless of the initial profile. The converged curve shows the invariance through 100 recursions. Markers are used for distinction and do not reflect the resolution.
Reduction fraction between successive thermalization cycles. As seen in Eq. (8), the convergence of the normalized density profiles leads to a constant reduction fraction.
Article metrics loading...