Hostname: page-component-77c89778f8-gq7q9 Total loading time: 0 Render date: 2024-07-24T00:57:43.916Z Has data issue: false hasContentIssue false
  • English
  • Français

Mixture distributions for the statistical time delay in synthetic air at low pressure

Published online by Cambridge University Press:  01 August 2014

Aleksandar P. Jovanović ,
Biljana Č. Popović ,
Vidosav Lj. Marković ,
Suzana N. Stamenković  and
Marjan N. Stankov
Aleksandar P. Jovanović*
Affiliation:
Department of Mathematics, Faculty of Sciences and Mathematics, University of Niš, PO Box 224, 18001 Niš, Serbia
Biljana Č. Popović
Affiliation:
Department of Mathematics, Faculty of Sciences and Mathematics, University of Niš, PO Box 224, 18001 Niš, Serbia
Vidosav Lj. Marković
Affiliation:
Department of Physics, Faculty of Sciences and Mathematics, University of Niš, PO Box 224, 18001 Niš, Serbia
Suzana N. Stamenković
Affiliation:
Department of Physics, Faculty of Sciences and Mathematics, University of Niš, PO Box 224, 18001 Niš, Serbia
Marjan N. Stankov
Affiliation:
Department of Physics, Faculty of Sciences and Mathematics, University of Niš, PO Box 224, 18001 Niš, Serbia
*
ae-mail: alexandar.bmf@gmail.com
Get access

Abstract

The mixture distributions for statistical time delay of electrical breakdown are proposed along with the generalized relation for the effective electron yield. The validity of the proposed model is tested by applying this distribution to experimental data measured in synthetic air at low pressure. Two samples without and with oxide surface are compared in order to determine physical processes leading to appearance of mixture distributions in the case of oxidized cathode. The obtained distributions are tested by Kolmogorov-Smirnov statistical hypothesis test in order to justify the use of mixture distributions. The physical interpretation of mixture distribution measured in the synthetic air is proposed, accompanied by the calculated values of the effective electron yield of initiating electrons in the gas gap.

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 67 , Issue 2 , August 2014 , 20801
Copyright
© EDP Sciences, 2014

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Morgan, C.G., in Electrical Breakdown of Gases, edited by Meek, J.M., Craggs, J.D. (John Wiley & Sons, Chichester, 1978)Google Scholar
Marković, V.Lj., Jovanović, A.P., Stamenković, S.N., Popović, B.Č., Europhys. Lett. 100, 45002 (2012)CrossRef
Stamenković, S.N., Gocić, S.R., Marković, V.Lj., Jovanović, A.P., J. Appl. Phys. 110, 103304 (2011)CrossRef
Sobota, A., Gendre, M.F., Manders, F., van Veldhuizen, E.M., Haverlag, M., J. Phys. D: Appl. Phys. 44, 155205 (2011)CrossRef
Kudrle, V., LeDuc, E., Fitaire, M., J. Phys. D: Appl. Phys. 32, 2049 (1999)CrossRef
Marković, V.Lj., Gocić, S.R., Stamenković, S.N., Petrović, Z.Lj., Eur. Phys. J. Appl. Phys. 30, 51 (2005)CrossRef
Marković, V.Lj., Petrović, Z.Lj., Pejović, M.M., J. Chem. Phys. 100, 8514 (1994)CrossRef
Marković, V.Lj., Petrović, Z.Lj., Pejović, M.M., Plasma Sources Sci. Technol. 6, 240 (1997)CrossRef
Petrović, Z.Lj., Marković, V.Lj., Pejović, M.M., Gocić, S.R., J. Phys. D: Appl. Phys. 34, 1756 (2001)CrossRef
Zuber, K., Ann. Phys. 76, 231 (1925)CrossRef
von Laue, M., Ann. Phys. 76, 721 (1925)
Kiselev, J.V., in Proc. 7th Int. Conf. Phenomena in Ionized Gases, edited by Tošić, D. (Beograd: Gradjevinska knjiga, Belgrade, Yugoslavia, 1965), p. 838 [in Russian]Google Scholar
Jones, F.L., Proc. Phys. Soc. B 62, 366 (1949)CrossRef
Choi, P., Chuaqui, H., Favre, M., Colas, V., IEEE Trans. Plasma Sci. 23, 221 (1995)CrossRef
Astrov, Yu.A., Shuval-Sergeev, N.A., Beregulin, E.V., Lodygin, A.N., Portsel, L.M., J. Phys. D: Appl. Phys. 41, 135502 (2008)CrossRef
Marković, V.Lj., Gocić, S.R., Stamenković, S.N., J. Phys. D: Appl. Phys. 39, 3317 (2006)CrossRef
Marković, V.Lj., Gocić, S.R., Stamenković, S.N., J. Phys. D: Appl. Phys. 42, 015207 (2009)CrossRef
Osmokrović, P., Vujisić, M., Stanković, K., Vasić, A., Lončar, B., Plasma Sources Sci. Technol. 16, 643 (2007)CrossRef
Porteanu, H.E., Kühn, S., Gesche, R., Contrib. Plasma Phys. 49, 21 (2009)CrossRef
Dorozhkina, D., Semenov, V., Olsson, T., Anderson, D., Jordan, U., Puech, J., Lapierre, L., Lisak, M., Phys. Plasmas 13, 013506 (2006)CrossRef
Titerington, D.M., Smith, A.F.M., Makov, U.E., Statistical Analysis of Finite Mixture Distributions (John Wiley & Sons, Chichester, 1985)Google Scholar
Fonte, P., Ferreira-Marques, R., Peskov, V., Policarpo, A., Nucl. Instr. Meth. A 433, 513 (1999)CrossRef
Marković, V.Lj., Pejović, M.M., Petrović, Z.Lj., J. Phys. D: Appl. Phys. 27, 979 (1994)CrossRef
Johnson, N., Kotz, S., Balakrishnan, N., Continuous Univariate Distributions, volume 2, 2nd edition, (John Wiley & Sons, Inc., New York, 1995)Google Scholar
Marić, R., Stanković, K., Vujisić, M., Osmokrović, P., Vacuum 84, 1291 (2010)CrossRef
Schlitz, R.A., Yoon, K.H., Fredin, L.A., Ha, Y., Ratner, M.A., Marks, T.J., Lauhon, L.J., J. Phys. Chem. Lett. 1, 3292 (2010)CrossRef
Lu, C., Danzer, R., Fischer, F.D., Phys. Rev. E 65, 067102 (2005)CrossRef
Wu, S., Cheng, L., Dong, N., J. Mater. Eng. Perform. 15, 712 (2006)CrossRef
R’Mili, M., Godin, N., Lemon, J., Phys. Rev. E 85, 051106 (2012)CrossRef
Acheson, M., McElwee, E.M., The Sylvania Technologist 4, 38 (1951)
Mendenhall, W., Hader, R., Biometrika 45, 504 (1958)CrossRef
Stamenković, S.N., Marković, V.Lj., Gocić, S.R., Jovanović, A.P., Vacuum 89, 62 (2013)CrossRef
Marković, V.Lj., Gocić, S.R., Radović, M.K., Eur. Phys. J. Appl. Phys. 6, 303 (1999)CrossRef
Hogg, R., Craigg, A., Introduction to Mathematical Statistics, fifth edition, (Higher education press, Beijing, 2004)Google Scholar
Kolmogorov, A., G. Ist. Ital. Attuari. 4, 83 (1933)
Smirnov, N., Ann. Math. Stat. 19, 279 (1948)CrossRef
Berkhan, K., Bohm, G., Kolanoski, H., Schreiner, A., Schwanke, U., Souvorov, V., Stegmann, C., Uwer, U., Walter, M., Nucl. Instr. Meth. A 515, 185 (2003)CrossRef
Lide, D., CRC Handbook of Chemistry and Physics, 90th edn. (CRC Press, Boca Raton, FL, 2009)Google Scholar