Continuum-plasma solution surrounding nonemitting spherical bodies
The classical problem of the interaction of a nonemitting spherical body with a zero mean-free-path continuum plasma is solved numerically in the full range of physically allowed free parameters (electron Debye length to body radius ratio, ion to electron temperature ratio, and body bias), and analy...
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Language: | en_US |
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American Institute of Physic
2010
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Online Access: | http://hdl.handle.net/1721.1/55370 |
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author | Patacchini, Leonardo Hutchinson, Ian Horner |
author2 | Massachusetts Institute of Technology. Department of Nuclear Science and Engineering |
author_facet | Massachusetts Institute of Technology. Department of Nuclear Science and Engineering Patacchini, Leonardo Hutchinson, Ian Horner |
author_sort | Patacchini, Leonardo |
collection | MIT |
description | The classical problem of the interaction of a nonemitting spherical body with a zero mean-free-path continuum plasma is solved numerically in the full range of physically allowed free parameters (electron Debye length to body radius ratio, ion to electron temperature ratio, and body bias), and analytically in rigorously defined asymptotic regimes (weak and strong bias, weak and strong shielding, thin and thick sheath). Results include current-voltage characteristics as well as floating potential and capacitance, for both continuum and collisionless electrons. Our numerical computations show that for most combinations of physical parameters, there exists a closest asymptotic regime whose analytic solutions are accurate to 15% or better. |
first_indexed | 2024-09-23T14:07:03Z |
format | Article |
id | mit-1721.1/55370 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T14:07:03Z |
publishDate | 2010 |
publisher | American Institute of Physic |
record_format | dspace |
spelling | mit-1721.1/553702023-02-26T02:37:26Z Continuum-plasma solution surrounding nonemitting spherical bodies Patacchini, Leonardo Hutchinson, Ian Horner Massachusetts Institute of Technology. Department of Nuclear Science and Engineering Massachusetts Institute of Technology. Plasma Science and Fusion Center Hutchinson, Ian H. Hutchinson, Ian H. Patacchini, Leonardo The classical problem of the interaction of a nonemitting spherical body with a zero mean-free-path continuum plasma is solved numerically in the full range of physically allowed free parameters (electron Debye length to body radius ratio, ion to electron temperature ratio, and body bias), and analytically in rigorously defined asymptotic regimes (weak and strong bias, weak and strong shielding, thin and thick sheath). Results include current-voltage characteristics as well as floating potential and capacitance, for both continuum and collisionless electrons. Our numerical computations show that for most combinations of physical parameters, there exists a closest asymptotic regime whose analytic solutions are accurate to 15% or better. 2010-06-02T19:04:08Z 2010-06-02T19:04:08Z 2009-06 2009-05 Article http://purl.org/eprint/type/SubmittedJournalArticle 1070-664X 1089-7674 http://hdl.handle.net/1721.1/55370 Patacchini, Leonardo, and Ian H. Hutchinson. “Continuum-plasma solution surrounding nonemitting spherical bodies.” Physics of Plasmas 16.6 (2009): 062101-16. © 2009 American Institute of Physics en_US http://dx.doi.org/10.1063/1.3143038 Physics of Plasmas Attribution-Noncommercial-Share Alike 3.0 Unported http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf American Institute of Physic Ian Hutchinson |
spellingShingle | Patacchini, Leonardo Hutchinson, Ian Horner Continuum-plasma solution surrounding nonemitting spherical bodies |
title | Continuum-plasma solution surrounding nonemitting spherical bodies |
title_full | Continuum-plasma solution surrounding nonemitting spherical bodies |
title_fullStr | Continuum-plasma solution surrounding nonemitting spherical bodies |
title_full_unstemmed | Continuum-plasma solution surrounding nonemitting spherical bodies |
title_short | Continuum-plasma solution surrounding nonemitting spherical bodies |
title_sort | continuum plasma solution surrounding nonemitting spherical bodies |
url | http://hdl.handle.net/1721.1/55370 |
work_keys_str_mv | AT patacchinileonardo continuumplasmasolutionsurroundingnonemittingsphericalbodies AT hutchinsonianhorner continuumplasmasolutionsurroundingnonemittingsphericalbodies |