Finite gyroradius multidimensional electron hole equilibria
<|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:'Finite electron gyro-radius influences on the trapping and charge density distribution of electron holes of limited transverse extent are calculated analytically and explored by numerical orbit integration in low to moderate magnetic fields. Parallel trapping is shown to depend upon the gyro-averaged potential energy and to give rise to gyro-averaged charge deficit. Both types of average are expressible as convolutions with perpendicular Gaussians of width equal to the thermal gyro-radius. Orbit-following confirms these phenomena but also confirms for the first time in self-consistent potential profiles the importance of gyro-bounce-resonance detrapping and consequent velocity diffusion on stochastic orbits. The averaging strongly reduces the trapped electron deficit that can be sustained by any potential profile whose transverse width i' . 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" : ["charge density distributions","de-trapping","electron hole","gaussians","gyroradius","potential profiles","stochastic orbits","trapped electrons"]} <|eot_id|>
 Here is the Description of a dataset. Description:'Finite electron gyro-radius influences on the trapping and charge density distribution of electron holes of limited transverse extent are calculated analytically and explored by numerical orbit integration in low to moderate magnetic fields. Parallel trapping is shown to depend upon the gyro-averaged potential energy and to give rise to gyro-averaged charge deficit. Both types of average are expressible as convolutions with perpendicular Gaussians of width equal to the thermal gyro-radius. Orbit-following confirms these phenomena but also confirms for the first time in self-consistent potential profiles the importance of gyro-bounce-resonance detrapping and consequent velocity diffusion on stochastic orbits. The averaging strongly reduces the trapped electron deficit that can be sustained by any potential profile whose transverse width i' . Please return only a json list of at most 3 Keywords corresponding to the Description:.
Finite electron gyro-radius influences on the trapping and charge density distribution of electron holes of limited transverse extent are calculated analytically and explored by numerical orbit integration in low to moderate magnetic fields. Parallel trapping is shown to depend upon the gyro-averaged potential energy and to give rise to gyro-averaged charge deficit. Both types of average are expressible as convolutions with perpendicular Gaussians of width equal to the thermal gyro-radius. Orbit-following confirms these phenomena but also confirms for the first time in self-consistent potential profiles the importance of gyro-bounce-resonance detrapping and consequent velocity diffusion on stochastic orbits. The averaging strongly reduces the trapped electron deficit that can be sustained by any potential profile whose transverse width i
charge density distributions; de-trapping; electron hole; gaussians; gyroradius; potential profiles; stochastic orbits; trapped electrons