Skip to main content Accessibility help

Study on electron emission by a spherical object: dynamics of trapped particles

  • G. Coppa (a1) and R. Mulas (a2)


In this paper, the dynamics of electrons emitted by a spherical object when the total charge of the system is constant is studied in detail. In particular, the condition for which the total electron charge presents damped oscillations is deduced rigorously by considering a perturbation with respect to the steady-state solution. The results obtained can be of utility in simulating the expansion of a spherical plasma by separating the ion and electron time scales.


Corresponding author

Email address for correspondence:


Hide All
Akimov, P. V., Schamel, H., Ender, A. Y. & Kuznetsov, V. I. 2003 Switching as a dynamical process in electron diodes. J. Appl. Phys. 93 (2), 12461256.10.1063/1.1531813
Akimov, P. V., Schamel, H., Kolinsky, H., Ender, A. Y. & Kuznetsov, V. I. 2001 The true nature of space-charge-limited currents in electron vacuum diodes: a Lagrangian revision with corrections. Phys. Plasmas 8 (8), 37883798.10.1063/1.1383287
Boella, E., Coppa, G., D’Angola, A. & Peiretti Paradisi, B. 2018 Gridless particle technique for Vlasov–Poisson system in problem with high degree of symmetry. Comput. Phys. Commun. 224, 136143.10.1016/j.cpc.2017.11.004
Child, C. D. 1911 Discharge from hot CaO. Phys. Rev. (Ser. I) 32, 492511.10.1103/PhysRevSeriesI.32.492
Colandrea, C.2018 Model to study the expansion of plasma contactor emitted by a magnetospheric spacecraft to mitigate charging effects. Master thesis, Politecnico di Torino, Torino, Italy.
Delzanno, G. L., Borovsky, J. E., Thomsen, M. F., Gilchrist, B. E. & Sanchez, E. 2016 Can an electron gun solve the outstanding problem of magnetosphere–ionosphere connectivity? J. Geophys. Res. 121 (7), 67696773.10.1002/2016JA022728
Ditmire, T., Donnelly, T., Rubenchik, A. M., Falcone, R. W. & Perry, M. D. 1996 Interaction of intense laser pulses with atomic clusters. Phys. Rev. A 53, 33793402.10.1103/PhysRevA.53.3379
Ender, A., Kolinsky, H., Kuznetsov, V. & Schamel, H. 2000 Collective diode dynamics: an analytical approach. Phys. Rep. 328 (1), 172.10.1016/S0370-1573(99)00092-7
Ender, A. Y. & Kuznetsov, V. I. 2014 Nonlinear oscillations in the Knudsen plasma diodes. J. Phys.: Conf. Ser. 510 (1), 012046.
Hendrickson, R. A., McEntire, R. W. & Winckler, J. R. 1975 Echo I: an experimental analysis of local effects and conjugate return echoes from an electron beam injected into the magnetosphere by a sounding rocket. Planet. Space Sci. 23, 14311444.10.1016/0032-0633(75)90039-2
Kuznetsov, V. I. & Ender, A. Y. 2010a Time-dependent regimes of a Bursian diode I: stability of steady solutions. Plasma Phys. Rep. 36 (3), 226235.10.1134/S1063780X10030049
Kuznetsov, V. I. & Ender, A. Y. 2010b Time-dependent regimes of a Bursian diode II: characteristic features of nonlinear oscillations. Plasma Phys. Rep. 36 (3), 236249.10.1134/S1063780X10030050
Langmuir, I. & Blodgett, K. B. 1924 Currents limited by space charge between concentric spheres. Phys. Rev. 24, 4959.10.1103/PhysRev.24.49
Peano, F., Peinetti, F., Mulas, R., Coppa, G. & Silva, L. O. 2006 Kinetics of the collisionless expansion of spherical nanoplasmas. Phys. Rev. Lett. 96, 175002.10.1103/PhysRevLett.96.175002
MathJax is a JavaScript display engine for mathematics. For more information see



Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed