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Period Multiplication in a Continuous Time Series of Radio-Frequency DBDs at Atmospheric Pressure

Published online by Cambridge University Press:  20 August 2015

Jiao Zhang ,
Yanhui Wang  and
Dezhen Wang
Jiao Zhang*
Affiliation:
State Key Laboratory of Materials Modification by Laser, Electron, and Ion Beams, School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China
Yanhui Wang*
Affiliation:
State Key Laboratory of Materials Modification by Laser, Electron, and Ion Beams, School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China
Dezhen Wang*
Affiliation:
State Key Laboratory of Materials Modification by Laser, Electron, and Ion Beams, School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, China
*
Email:summer_j@yahoo.cn
Corresponding author.Email:yanhui-w@sohu.com
Email:wangdez@dlut.edu.cn
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Abstract

As a spatially extended dissipative system with strong nonlinearity the radio-frequency (rf) dielectric-barrier discharges (DBDs) at atmospheric pressure possess complex spatiotemporal nonlinear behaviors. In this paper, the time-domain nonlinear behaviors of rf DBD in atmospheric argon are studied numerically by a one-dimensional fluid model. Simulation results show that, under appropriate controlling parameters, the rf DBD can undergo a transition from single-period state to chaos through period doubling bifurcation with increasing discharge time, i.e., the regular periodic oscillation and chaos can coexist in a long time series of the atmospheric-pressure rf DBD. With increasing applied voltage amplitude, the duration of the periodic oscillation reduces gradually and chaotic zone increases, and finally the whole discharge series becomes completely chaotic state. This is different from conventional period doubling route to chaos. Moreover, the spatial characteristics of rf period-doubling discharge and chaos, as well as the parameter range of various discharge behaviors occurring are also investigated in this paper.

Keywords

52.35.Kw52.65.Kj52.80.PiAtmospheric radio-frequency dischargeperiod-doubling bifurcationchaos
Type
Research Article
Information
Communications in Computational Physics , Volume 11 , Issue 4 , April 2012 , pp. 1226 - 1235
Copyright
Copyright © Global Science Press Limited 2012

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References

[1]Roth, J. R., Rahel, J., Dai, X. and Sherman, D. M., The physics and phenomenology of one atmosphere uniform glow discharge plasma (OAUGDP™) reactors for surface treatment applications, J. Phys. D: Appl. Phys., 38 (2005), 555–567.Google Scholar
[2]Moon, S. Y., Choe, W. and Kang, B. K., A uniform glow discharge plasma source at atmospheric pressure, Appl. Phys. Lett., 84 (2004), 188–190.CrossRefGoogle Scholar
[3]Stoffels, E., Flikweert, A. J., Stoffels, W. W. and Kroesen, G. M. W., Plasma needle: a nondestructive atmospheric plasma source for fine surface treatment of (bio)materials, Plasma Sources Sci. Technol., 11 (2002), 383–388.Google Scholar
[4]Guo, Y.-B. and Hong, F. C.-N., Radio-frequency microdischarge arrays for large-area cold atmospheric plasma generation, Appl. Phys. Lett., 82 (2003), 337–339.Google Scholar
[5]Takao, Y. and Ono, K., A miniature electrothermal thruster using microwave-excited plasmas: a numerical design consideration, Plasma Sources Sci. Technol., 15 (2006), 211–227.Google Scholar
[6]Shi, J. J. and Kong, M. G., Mechanisms of the and modes in radio-frequency atmospheric glow discharges, J. Appl. Phys., 97 (2005), 023306.CrossRefGoogle Scholar
[7]Shi, J. J. and Kong, M. G., Mode characteristics of radio-frequency atmospheric glow discharges, IEEE T. Plasma Sci., 33 (2005), 624–630.Google Scholar
[8]Shi, J. J., Liu, D. W. and Kong, M. G., Plasma stability control using dielectric barriers in radio-frequency atmospheric pressure glow discharges, Appl. Phys. Lett., 89 (2006), 081502.CrossRefGoogle Scholar
[9]Letellier, C., Bennoud, M and Martel, G., Intermittency and period-doubling cascade on tori in a bimode laser model, Chaos, Solitons and Fractals, 33 (2007), 782–794.CrossRefGoogle Scholar
[10]Braun, T., Lisboa, J. A. and Francke, R. E., Observation of deterministic chaos in electrical discharges in gases, Phys. Rev. Lett., 59 (1987), 613–616.Google Scholar
[11]Cheung, P. Y. and Wong, A. Y., Chaostic behavior and period doubling in plasmas, Phys. Rev. Lett., 59 (1987), 551–554.Google Scholar
[12]Greiner, F., Klinger, T., Klostermann, H. andPiel, A., Experiment and particle-in-cell simulation on self-oscillations and period doubling in thermionic discharge at low pressure, Phys. Rev. Lett., 70 (1993), 3071–3074.CrossRefGoogle ScholarPubMed
[13]Hayashi, T., Mixed-mode oscillations and chaos in a glow discharge, Phys. Rev. Lett., 84 (2000), 3334–3337.ˇGoogle Scholar
[14] D. D. Sijacˇić, Ebert, U. and Rafatov, I., Period doubling cascade in glow discharges: local versus global differential conductivity, Phys. Rev. E, 70 (2004), 056220.Google Scholar
[15]Wang, Y. H., Zhang, Y. T., Wang, D. Z. and Kong, M. G., Period multiplication and chaotic phenomena in atmospheric dielectric-barrier glow discharges, Appl. Phys. Lett., 90 (2007), 071501.Google Scholar
[16]Shi, H., Wang, Y. H. and Wang, D. Z., Nonlinear behavior in the time domain in argon atmo-spheric dielectric-barrier discharges, Phys. Plasmas, 15 (2008), 122306.Google Scholar
[17]Zhang, J., Wang, Y. H. and Wang, D. Z., Numerical study of period multiplication and chaotic phenomena in an atmospheric radio-frequency discharge, Phys. Plasmas, 17 (2010), 043507.Google Scholar
[18]Ward, A. L., Calculations of cathode-fall characteristics, J. Appl. Phys., 33 (1962), 2789–2794.Google Scholar
[19]Moravej, M., Yang, X., Barankin, M., Penelon, J., Babayan, S. E. and Hicks, R. F., Properties of an atmospheric pressure radio-frequency argon and nitrogen plasma, Plasma Sources Sci., 15 (2006), 204–210.Google Scholar
[20]Richards, A. D., Thompson, B. E. and Sawin, H. H., Continuum modeling of argon radio frequency glow discharges, Appl. Phys. Lett., 50 (1987), 492–194.Google Scholar
[21]Wang, Y. H. and Wang, D. Z., Influence of impurities on the uniform atmospheric-pressure discharge in helium, Phys. Plasmas, 12 (2005), 023503.CrossRefGoogle Scholar