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

This article is cited in 4 scientific papers (total in 4 papers)

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
Received: 03.04.2012

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
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    Citing articles on Google Scholar: Russian citations, English citations
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    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  mathnet  crossref  isi  elib  elib
    2. Chikhachev A.S., “Ionno-elektronnyi ansambl v elektricheskom pole”, Uspekhi prikladnoi fiziki, 1:2 (2013), 189–192  elib
    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  crossref  adsnasa  isi  elib
    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  mathnet  crossref  crossref  isi  elib  elib
  • Teplofizika vysokikh temperatur Teplofizika vysokikh temperatur
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