Nonlinear dynamics of electron flows with density gradient in spherical diodes

A variety of Pierce diodes formed by a pair of grounded concentric spheres with electrons streaming radially are investigated with particle-in-cell simulations and analytical models. The electrons flow parallel or antiparallel to a density gradient in convergent or divergent diodes, respectively. Th...

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Publicado: 2000
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1070664X_v7_n7_p2798_Alves
http://hdl.handle.net/20.500.12110/paper_1070664X_v7_n7_p2798_Alves
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling paper:paper_1070664X_v7_n7_p2798_Alves2023-06-08T16:04:43Z Nonlinear dynamics of electron flows with density gradient in spherical diodes A variety of Pierce diodes formed by a pair of grounded concentric spheres with electrons streaming radially are investigated with particle-in-cell simulations and analytical models. The electrons flow parallel or antiparallel to a density gradient in convergent or divergent diodes, respectively. The existence and stability (or instability) of laminar steady states with space charge and nonuniform velocity that are possible for a given set of diode parameters, are crucial to determine the outcome of the numerical experiments. The dispersion relation for the stability of the initial constant velocity states and the concomitant energy flow balance are examined in relation to the nonlinear dynamical evolution. Spherical diodes have properties that are common to a dual pair of diodes with reciprocal ratios of collector to emitter radii. Stable oscillatory electrostatic states, associated with Hopf bifurcations, are observed in the simulations. The breakdown of the laminar electron flow has completely different physical characteristics in divergent and convergent diodes. © 2000 American Institute of Physics. 2000 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1070664X_v7_n7_p2798_Alves http://hdl.handle.net/20.500.12110/paper_1070664X_v7_n7_p2798_Alves
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description A variety of Pierce diodes formed by a pair of grounded concentric spheres with electrons streaming radially are investigated with particle-in-cell simulations and analytical models. The electrons flow parallel or antiparallel to a density gradient in convergent or divergent diodes, respectively. The existence and stability (or instability) of laminar steady states with space charge and nonuniform velocity that are possible for a given set of diode parameters, are crucial to determine the outcome of the numerical experiments. The dispersion relation for the stability of the initial constant velocity states and the concomitant energy flow balance are examined in relation to the nonlinear dynamical evolution. Spherical diodes have properties that are common to a dual pair of diodes with reciprocal ratios of collector to emitter radii. Stable oscillatory electrostatic states, associated with Hopf bifurcations, are observed in the simulations. The breakdown of the laminar electron flow has completely different physical characteristics in divergent and convergent diodes. © 2000 American Institute of Physics.
title Nonlinear dynamics of electron flows with density gradient in spherical diodes
spellingShingle Nonlinear dynamics of electron flows with density gradient in spherical diodes
title_short Nonlinear dynamics of electron flows with density gradient in spherical diodes
title_full Nonlinear dynamics of electron flows with density gradient in spherical diodes
title_fullStr Nonlinear dynamics of electron flows with density gradient in spherical diodes
title_full_unstemmed Nonlinear dynamics of electron flows with density gradient in spherical diodes
title_sort nonlinear dynamics of electron flows with density gradient in spherical diodes
publishDate 2000
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1070664X_v7_n7_p2798_Alves
http://hdl.handle.net/20.500.12110/paper_1070664X_v7_n7_p2798_Alves
_version_ 1768545660367273984

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