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 TVT, 2013, Volume 51, Issue 1, Pages 13–23 (Mi tvt50)

Plasma Investigations

Theory of the negative anode drop in low-pressure discharges

Ya. I. Londer, K. N. Ul'yanov

Lenin All-Russia Electrical Engineering Institute, Moscow, Russia

Abstract: A kinetic model of the anode region with a negative anode potential drop is proposed, which explicitly takes into account the ratio of the directed velocity of electrons in plasma $v_0$ to their thermal speed $v_T$ as a parameter of the electron velocity distribution function. A transcendent equation is derived for determination of the negative anode drop as a function of the ratio $v_0/v_T$. It is shown that, unlike the known Langmuir formula, the anode drop remains negative for any value of $v_0/v_T$. In the case of small values ($v_0/v_T\ll1$), the derived expression asymptotically reduces to the Langmuir formula. It is shown that the dependence of electron concentration on the potential differs from the Boltzmann law. The anode regions of the short high-current vacuum-arc discharge and the classical low-pressure discharge are considered as examples. For the vacuum-arc discharge, the current density distribution and the anode drop distribution over the anode surface under strong current contraction are calculated. For the low-pressure discharge, potential drops are calculated across the region of the inhomogeneous near-anode plasma and the space charge layer.

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English version:
High Temperature, 2013, 51:1, 7–16

Bibliographic databases:

Document Type: Article
UDC: 537.525.5

Citation: Ya. I. Londer, K. N. Ul'yanov, “Theory of the negative anode drop in low-pressure discharges”, TVT, 51:1 (2013), 13–23; High Temperature, 51:1 (2013), 7–16

Citation in format AMSBIB
\Bibitem{LonUly13} \by Ya.~I.~Londer, K.~N.~Ul'yanov \paper Theory of the negative anode drop in low-pressure discharges \jour TVT \yr 2013 \vol 51 \issue 1 \pages 13--23 \mathnet{http://mi.mathnet.ru/tvt50} \elib{http://elibrary.ru/item.asp?id=18446079} \transl \jour High Temperature \yr 2013 \vol 51 \issue 1 \pages 7--16 \crossref{https://doi.org/10.1134/S0018151X13010094} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000315044900002} \elib{http://elibrary.ru/item.asp?id=20434585} \scopus{http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84874058645} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. E. F. Prozorov, K. N. Ul'yanov, V. A. Fedorov, “Dynamics studies of cathode spots in a vacuum-arc discharge with ring electrodes”, High Temperature, 51:2 (2013), 153–159
2. Chikhachev A.S., “Ionno-elektronnyi ansambl v elektricheskom pole”, Uspekhi prikladnoi fiziki, 1:2 (2013), 189–192
3. Londer Ya.I., Ul'yanov K.N., “Effect of Atoms Evaporated From the Anode on the Structure of the Vacuum Arc Space Charge Sheath”, Plasma Phys. Rep., 40:4 (2014), 312–321
4. Ya. I. Londer, K. N. Ulyanov, “Numerical simulation of the anode region of a high-current vacuum-arc discharge and the Bohm criterion”, High Temperature, 52:6 (2014), 787–796
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