Particle Trapping in Axisymmetric Electron Holes
<|begin_of_text|><|start_header_id|>system<|end_header_id|> You are a research archivist expert in dataset metadata. Answer the question truthfully.  <|eot_id|><|start_header_id|>user<|end_header_id|> Here is the Description of a dataset. 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 ' . Please return only a json list of at most 3 Keywords corresponding to the Description:.<|eot_id|><|start_header_id|>assistant<|end_header_id|> {"Answer" : ["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"]} <|eot_id|>
 Here is the Description of a dataset. 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 ' . Please return only a json list of at most 3 Keywords corresponding to the 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 
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