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Finite gyroradius multidimensional electron hole equilibria

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

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Title Finite gyroradius multidimensional electron hole equilibria
 
Identifier https://doi.org/10.7910/DVN/HHFQGO
 
Creator Hutchinson, I.H.
 
Publisher Harvard Dataverse
 
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 is comparable to the gyro-radius rg. It effectively prevents equilibrium widths smaller than rg for times longer than a quarter parallel-bounce-period. Avoiding gyro-bounce resonance detrapping is even more restrictive, except for very small potential amplitudes, but it takes multiple bounce-periods to act. Quantitative criteria are given for both types of orbit loss.
 
Subject Physics
charge density distributions
de-trapping
electron hole
gaussians
gyroradius
potential profiles
stochastic orbits
trapped electrons