Breakdown of order in a self-organised barrier discharge

Open Access
Regular Article

Abstract

In this work, we investigate the transition of a hexagonal patterned self-organised barrier discharge into a stochastic distributed pattern during voltage reduction. The techniques of 2D Fourier transformation and, for the first time, the triple correlation function are used. Introducing measures for the angular and radial order it is possible to observe a supercritical bifurcation scenario for the decaying order. A chronological sequence of an angular and a radial breakdown of the pattern has been revealed. Possible limits of reproducibility and dependence on the frequency of the applied voltage are estimated.

Keywords

Plasma Physics 

References

  1. 1.
    U. Kogelschatz, Plasma Chem. Plasma Process. 23, 1 (2003)CrossRefGoogle Scholar
  2. 2.
    H.-E. Wagner, R. Brandenburg, K.V. Kozlov, A. Sonnenfeld, P. Michel, J.F. Behnke, Vacuum 71, 417 (2003)CrossRefGoogle Scholar
  3. 3.
    J.-P. Boeuf, J. Phys. D 36, R53 (2003)ADSCrossRefGoogle Scholar
  4. 4.
    G. Fridman, G. Friedman, A. Gutsol, A.B. Shekhter, V.N. Vasilets, A. Fridman, Plasma Process. Polym. 5, 503 (2008)CrossRefGoogle Scholar
  5. 5.
    K.-D. Weltmann, E. Kindel, T. von Woedtke, M. Hähnel, M. Stieber, R. Brandenburg, Pure Appl. Chem. 82, 1223 (2010)CrossRefGoogle Scholar
  6. 6.
    W. Breazeal, K.M. Flynn, E.G. Gwinn, Phys. Rev. E 52, 1503 (1995)ADSCrossRefGoogle Scholar
  7. 7.
    A.L. Zanin, E.L. Gurevich, A.S. Moskalenko, H.U. Bödeker, H.-G. Purwins, Phys. Rev. E 70, 036202 (2004)ADSCrossRefGoogle Scholar
  8. 8.
    L.F. Dong, Z. Yin, L. Wang, G. Fu, Y. He, Z. Chai, X. Li, Thin Solid Films 435, 120 (2003)ADSCrossRefGoogle Scholar
  9. 9.
    E.L. Gurevich, A.L. Zanin, A.S. Moskalenko, H.-G. Purwins, Phys. Rev. Lett. 91, 154501 (2003)ADSCrossRefGoogle Scholar
  10. 10.
    L.F. Dong, H. Yue, Y.F. He, W.L. Fan, H. Xiao, J.Y. Chen, Z.G. Bai, Phys. Plasmas 17, 082302 (2010)ADSCrossRefGoogle Scholar
  11. 11.
    L. Stollenwerk, S.V. Gurevich, J.G. Laven, H.-G. Purwins, Eur. Phys. J. D 42, 273 (2007)ADSCrossRefGoogle Scholar
  12. 12.
    L. Stollenwerk, S. Amiranashvili, J.-P. Boeuf, H.-G. Purwins, Eur. Phys. J. D 44, 133 (2007)ADSCrossRefGoogle Scholar
  13. 13.
    P. Ludwig, H. Thomsen, K. Balzer, A. Filinov, M. Bonitz, Plasma Phys. Control Fusion 52, 124013 (2010)ADSCrossRefGoogle Scholar
  14. 14.
    A. Schella, T. Miksch, A. Melzer, J. Schablinski, D. Block, A. Piel, H. Thomsen, P. Ludwig, M. Bonitz, Phys. Rev. E 84, 056402 (2011)ADSCrossRefGoogle Scholar
  15. 15.
    A. Chirokov, A. Gutsol, A. Fridman, K.D. Sieber, J.M. Grace, K.S. Robinson, Plasma Sources Sci. Technol. 13, 623 (2004)CrossRefGoogle Scholar
  16. 16.
    M. Frigo, S.G. Johnson, Proc. IEEE 2, 216 (2005)CrossRefGoogle Scholar
  17. 17.
    L. Stollenwerk, H.-G. Purwins, Contrib. Plasma Phys. 70, 22 (2005)Google Scholar
  18. 18.
    L. Stollenwerk, New J. Phys. 11, 103034 (2009)ADSCrossRefGoogle Scholar
  19. 19.
    I. Brauer, M. Bode, E. Ammelt, H.-G. Purwins, Phys. Rev. Lett. 84, 4104 (2000)ADSCrossRefGoogle Scholar

Copyright information

© The Author(s) 2012

Authors and Affiliations

  1. 1.Institute of PhysicsUniversity of GreifswaldGreifswaldGermany

Personalised recommendations