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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_1070664X_v7_n7_p2798_Alves |
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todo:paper_1070664X_v7_n7_p2798_Alves2023-10-03T16:02:37Z Nonlinear dynamics of electron flows with density gradient in spherical diodes Alves, M.V. Gnavi, G. Gratton, F.T. Ferro, S. Moreno, C.H. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 |
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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. |
| format |
JOUR |
| author |
Alves, M.V. Gnavi, G. Gratton, F.T. Ferro, S. Moreno, C.H. |
| spellingShingle |
Alves, M.V. Gnavi, G. Gratton, F.T. Ferro, S. Moreno, C.H. Nonlinear dynamics of electron flows with density gradient in spherical diodes |
| author_facet |
Alves, M.V. Gnavi, G. Gratton, F.T. Ferro, S. Moreno, C.H. |
| author_sort |
Alves, M.V. |
| title |
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 |
| url |
http://hdl.handle.net/20.500.12110/paper_1070664X_v7_n7_p2798_Alves |
| work_keys_str_mv |
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| _version_ |
1782028439006478336 |