Record Details

Particle Trapping in Axisymmetric Electron Holes

Harvard Dataverse (Africa Rice Center, Bioversity International, CCAFS, CIAT, IFPRI, IRRI and WorldFish)

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Title Particle Trapping in Axisymmetric Electron Holes
 
Identifier https://doi.org/10.7910/DVN/JJMRHV
 
Creator Hutchinson, I.H.
 
Publisher Harvard Dataverse
 
Description Electron orbits are calculated in solitary two-dimensional axisymmetric electrostatic potential structures, typical of plasma electron holes, in order to establish the conditions for the particles to remain trapped. Analytic calculations of the evolution of the parallel energy caused by the perturbing radial electric field (breaking magnetic-moment invariance) are shown to agree well with full numerical orbit integration Poincare plots. The predominant mechanism of detrapping is resonance between the gyro frequency in the parallel magnetic field and harmonics of the parallel bounce frequency. A region of phase-space adjacent to the trapped-passing boundary in parallel energy is generally stochastic because of island overlap of different harmonics, but except for very strong radial electric field perturbation, more deeply trapped orbits have well-defined islands and are permanently confined. A simple universal quantitative algorithm is given, and its results plotted as a function of magnetic field strength and hole radial scale-length, determining the phase space volume available to sustain the electron hole by depression of the permanently trapped distribution function.
 
Subject Physics
analytic calculations
axisymmetric electron holes
electron hole
electron orbits
hole radial scale length
magnetic field strength
magnetic moment invariance
numerical orbit integration Poincare plots
parallel bounce frequency
parallel energy
parallel magnetic field
particle trapping
permanently trapped distribution function
perturbing radial electric field
phase space volume
plasma electron holes
simple universal quantitative algorithm
solitary two-dimensional axisymmetric electrostatic potential structures
strong radial electric field perturbation
trapped orbits
trapped-passing boundary