Relaxation Dynamics of Charge Patches Formed Inside an Insulating Capillary by Ion Impact
Abstract
The dynamics of the charge distribution produced at the inner surface of an insulating capillary by low energy ion impact are investigated theoretically in the case where the entrance, exit and outer capillary surface are grounded. Starting with the surface continuity equation, that describes the charge dynamics at the inner surface, we deduced an analytical solution of the continuity equation in the form of a linear combination of surface charge moments that satisfy the given boundary conditions. We determined the relaxation rate of each moment, which is given as a function of the dimensions and electrical properties of the capillary. We found an approximate expression of the time evolution of the electric potential and field generated by a charge patch during and after beam irradiation. The time evolution of the total charge is also described in detail. Our findings are illustrated with examples.
Recommended Citation
E. Giglio et al., "Relaxation Dynamics of Charge Patches Formed Inside an Insulating Capillary by Ion Impact," Nuclear Instruments and Methods in Physics Research, Section B: Beam Interactions with Materials and Atoms, vol. 460, pp. 234 - 239, Elsevier, Dec 2019.
The definitive version is available at https://doi.org/10.1016/j.nimb.2018.12.027
Department(s)
Physics
Keywords and Phrases
Capillary; Charge relaxation; Insulator; Multipole expansion; Surface charge dynamics
International Standard Serial Number (ISSN)
0168-583X
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 Elsevier, All rights reserved.
Publication Date
01 Dec 2019
Comments
Pacific Institute for Climate Solutions, Grant 2017-2.2.5-TÉT-FR-2017-00008