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Concentric-ring pattern is observed in an Ar/air mixture dielectric barrier discharge. The discharge images within one half voltage circle are taken by an intensified-charge coupled device camera, indicating that the discharge filaments are the basic units of the concentric-ring pattern. By comparing the six instantaneous images corresponding to three successive positive and negative half voltages, it is proved that the concentric-ring pattern seen with naked eyes is formed by the numerous discharge filaments located at different positions during successive acquisition intervals. With applied voltage increasing, concentric-ring pattern can transform into spiral, and then into concentric-ring pattern again. By analyzing the features of formation and transformation of these two patterns, it is inferred that the two patterns have similar dynamic mechanisms. Discharge powers of concentric-ring pattern and spiral are calculated respectively, and the results show that the power increases linearly approximately with applied voltage increasing. The correlation coefficients of concentric-ring pattern are compared with those of spiral, and the results show that the correlation coefficient of concentric-ring pattern is relatively low and irregular, while the correlation coefficient of spiral is relatively high and has an oscillatory characteristic.
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Keywords:
- dielectric barrier discharge /
- concentric-ring pattern /
- spiral pattern /
- formation mechanism
[1] Sinclair J, Walhout M 2012 Phys. Rev. Lett. 108 035005
[2] Astrov Y A, Lodygin A N, Portsel L M 2015 Phys. Rev. E 91 032909
[3] Zheng P C, Wang X M, Wang J M, Yu B, Liu H D, Zhang B, Yang R 2015 Plasma Sources Sci. Technol. 24 015010
[4] Stauss S, Muneoka H, Ebato N, Oshima F, Pai D Z, Terashima K 2013 Plasma Sources Sci. Technol. 22 025021
[5] Zhu P, Dong L F, Yang J, Gao Y N, Wang Y J, Li B 2015 Phys. Plasmas 22 023507
[6] Dong L F, Shen Z K, Li B, Bai Z G 2013 Phys. Rev. E 87 042914
[7] Guikema J, Miller N, Niehof J, Klein M, Walhout M 2000 Phys. Rev. Lett. 85 3817
[8] Wang Y J, Dong L F, Liu W B, He Y F, Li Y H 2014 Phys. Plasmas 21 073505
[9] Shang W L, Wang D Z 2007 Chin. Phys. Lett. 24 1992
[10] Duan X X, Ouyang J T, Zhao X F, He F 2009 Phys. Rev. E 80 016202
[11] Gurevich E L, Zanin A L, Moskalenko A S, Purwins H G 2003 Phys. Rev. Lett. 91 154501
[12] Dong L F, Yue H, He Y F, Fan W L, Xiao H, Chen J Y, Bai Z G 2010 Phys. Plasmas 17 082302
[13] Dong L F, Yue H, Fan W L, Li Y Y, Yang Y J, Xiao H 2011 Acta Phys. Sin. 60 065206 (in Chinese) [董丽芳, 岳晗, 范伟丽, 李媛媛, 杨玉杰, 肖红 2011 物理学报 60 065206]
[14] Hörning M 2012 Phys. Rev. E 86 031912
[15] Chen X J, Qiao C G, Wang L L, Zhou Z W, Tian T T, Tang G N 2013 Acta Phys. Sin. 62 128201 (in Chinese) [陈醒基, 乔成功, 王利利, 周振玮, 田涛涛, 唐国宁 2013 物理学报 62 128201]
[16] Zhang H, Hu B, Hu G 2003 Phys. Rev. E 68 026134
[17] Schwabe M, Konopka U, Bandyopadhyay P, Morfill G E 2011 Phys. Rev. Lett. 106 215004
[18] Liu F C, Wang X F, Li X C, Dong L F 2007 Chin. Phys. 16 2640
[19] Dong L F, Liu W B, Wang Y J, Zhang X P 2014 IEEE Trans. Plasma Sci. 42 2
[20] Ouyang Q 2010 Introduction to Nonlinear Science and Pattern Dynamics (Vol. 1) (Beijing: Peking University Press) p188 (in Chinese) [欧阳颀 2010 非线性科学与斑图动力学导论(第一版) (北京: 北京大学出版社) 第188页]
[21] Ginn B T, Steinbock O 2004 Phys. Rev. Lett. 93 158301
[22] Bansagi Jr T, Meyer K J, Steinbock O 2008 J. Chem. Phys. 128 094503
[23] Deng L Y, Zhang H, Li Y Q 2010 Phys. Rev. E 81 016204
[24] Dong L F, Mao Z G, Yin Z Q, Ran J X 2004 Appl. Phys. Lett. 84 5142
[25] Ning L, Hu Y, Ecke R E, Ahlers G 1993 Phys. Rev. Lett. 71 2216
[26] Encinas-Sanz F, Melle S, Calderón O G 2004 Phys. Rev. Lett. 93 213904
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[1] Sinclair J, Walhout M 2012 Phys. Rev. Lett. 108 035005
[2] Astrov Y A, Lodygin A N, Portsel L M 2015 Phys. Rev. E 91 032909
[3] Zheng P C, Wang X M, Wang J M, Yu B, Liu H D, Zhang B, Yang R 2015 Plasma Sources Sci. Technol. 24 015010
[4] Stauss S, Muneoka H, Ebato N, Oshima F, Pai D Z, Terashima K 2013 Plasma Sources Sci. Technol. 22 025021
[5] Zhu P, Dong L F, Yang J, Gao Y N, Wang Y J, Li B 2015 Phys. Plasmas 22 023507
[6] Dong L F, Shen Z K, Li B, Bai Z G 2013 Phys. Rev. E 87 042914
[7] Guikema J, Miller N, Niehof J, Klein M, Walhout M 2000 Phys. Rev. Lett. 85 3817
[8] Wang Y J, Dong L F, Liu W B, He Y F, Li Y H 2014 Phys. Plasmas 21 073505
[9] Shang W L, Wang D Z 2007 Chin. Phys. Lett. 24 1992
[10] Duan X X, Ouyang J T, Zhao X F, He F 2009 Phys. Rev. E 80 016202
[11] Gurevich E L, Zanin A L, Moskalenko A S, Purwins H G 2003 Phys. Rev. Lett. 91 154501
[12] Dong L F, Yue H, He Y F, Fan W L, Xiao H, Chen J Y, Bai Z G 2010 Phys. Plasmas 17 082302
[13] Dong L F, Yue H, Fan W L, Li Y Y, Yang Y J, Xiao H 2011 Acta Phys. Sin. 60 065206 (in Chinese) [董丽芳, 岳晗, 范伟丽, 李媛媛, 杨玉杰, 肖红 2011 物理学报 60 065206]
[14] Hörning M 2012 Phys. Rev. E 86 031912
[15] Chen X J, Qiao C G, Wang L L, Zhou Z W, Tian T T, Tang G N 2013 Acta Phys. Sin. 62 128201 (in Chinese) [陈醒基, 乔成功, 王利利, 周振玮, 田涛涛, 唐国宁 2013 物理学报 62 128201]
[16] Zhang H, Hu B, Hu G 2003 Phys. Rev. E 68 026134
[17] Schwabe M, Konopka U, Bandyopadhyay P, Morfill G E 2011 Phys. Rev. Lett. 106 215004
[18] Liu F C, Wang X F, Li X C, Dong L F 2007 Chin. Phys. 16 2640
[19] Dong L F, Liu W B, Wang Y J, Zhang X P 2014 IEEE Trans. Plasma Sci. 42 2
[20] Ouyang Q 2010 Introduction to Nonlinear Science and Pattern Dynamics (Vol. 1) (Beijing: Peking University Press) p188 (in Chinese) [欧阳颀 2010 非线性科学与斑图动力学导论(第一版) (北京: 北京大学出版社) 第188页]
[21] Ginn B T, Steinbock O 2004 Phys. Rev. Lett. 93 158301
[22] Bansagi Jr T, Meyer K J, Steinbock O 2008 J. Chem. Phys. 128 094503
[23] Deng L Y, Zhang H, Li Y Q 2010 Phys. Rev. E 81 016204
[24] Dong L F, Mao Z G, Yin Z Q, Ran J X 2004 Appl. Phys. Lett. 84 5142
[25] Ning L, Hu Y, Ecke R E, Ahlers G 1993 Phys. Rev. Lett. 71 2216
[26] Encinas-Sanz F, Melle S, Calderón O G 2004 Phys. Rev. Lett. 93 213904
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