Stable and Unstable Regimes of Plasma Diodes in the Presence of Electron Collisions
- Authors: Pramanik S.1, Kuznetsov V.I.2, Chakrabarti N.3
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Affiliations:
- Department of Applied Mathematics, University of Calcutta
- Ioffe Institute
- Saha Institute of Nuclear Physics
- Issue: Vol 64, No 10 (2019)
- Pages: 1452-1461
- Section: Plasma
- URL: https://journals.rcsi.science/1063-7842/article/view/204229
- DOI: https://doi.org/10.1134/S1063784219100189
- ID: 204229
Cite item
Abstract
A thermionic energy converter as the Pierce diode of which the interelectrode space is filled with a uniform background of immobile ions is considered. The features of stability of its time-independent solutions are investigated under electron collisions with background gas. The solutions are obtained analytically by the Lagrange method. A dispersion equation is derived using a perturbative approach. The aperiodic solutions of this equation, as well as the oscillatory ones, are obtained and their properties are studied too. The regions of unstable aperiodic modes are determined. It is shown that all the oscillatory modes are stable.
About the authors
S. Pramanik
Department of Applied Mathematics, University of Calcutta
Email: victor.kuznetsov@mail.ioffe.ru
India, Kolkata, 700009
V. I. Kuznetsov
Ioffe Institute
Author for correspondence.
Email: victor.kuznetsov@mail.ioffe.ru
Russian Federation, St. Petersburg, 194021
N. Chakrabarti
Saha Institute of Nuclear Physics
Email: victor.kuznetsov@mail.ioffe.ru
India, Kolkata, 700064