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Jiting OUYANG (欧阳吉庭), Ben LI (李犇), Feng HE (何锋), Dong DAI (戴栋). Nonlinear phenomena in dielectric barrier discharges: pattern, striation and chaos[J]. Plasma Science and Technology, 2018, 20(10): 103002. DOI: 10.1088/2058-6272/aad325
Citation: Jiting OUYANG (欧阳吉庭), Ben LI (李犇), Feng HE (何锋), Dong DAI (戴栋). Nonlinear phenomena in dielectric barrier discharges: pattern, striation and chaos[J]. Plasma Science and Technology, 2018, 20(10): 103002. DOI: 10.1088/2058-6272/aad325

Nonlinear phenomena in dielectric barrier discharges: pattern, striation and chaos

Funds: The authors thank National Natural Science Foundation of China for continuous financial support under Grant Nos. 10475007, 10875010, 11175017 and 51607074 and the State Education Ministry of China under Grant No. NCET-05-0176.
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  • Received Date: November 15, 2017
  • The nonlinear phenomenon is very popular in dielectric barrier discharge (DBD) plasmas. There are at least three kinds of spatial and temporal nonlinear phenomena appearing synchronously or asynchronously in DBDs, i.e. self-organized patterns, striations and chaos. This paper describes the recent research and progress in understanding the nature of these nonlinear phenomena. Patterns are macroscopic structures with certain spatial and/or temporal periodicities generated through self- organization of microscopic parameters. The physics of patterns in DBDs is mainly associated with lateral dynamic behaviors or the lateral non-local effect of charged particles resulting in the lateral development or non-uniformity of discharge. Striations are ionization waves with unique properties determined by transport phenomena, ionization processes and electron kinetics in current-carrying plasmas. The physics of striations in DBDs is mainly associated with the advances in non-local electron kinetics in spatially inhomogeneous plasmas. Chaos is a kind of random and non-periodic phenomenon occurring in a determined dynamic system, following a series of certain rules while exhibiting random locomotion, and is regarded as an intrinsic and ubiquitous phenomenon in a nonlinear dynamic system. An evolution trajectory including period-doubling bifurcation to chaos was observed in DBDs or DBD-derived plasmas. In a common sense, it is believed that the formation of all the three nonlinear phenomena in a DBD system should be related to the non-local transversal and/or longitudinal dynamics of space charges (i.e. non-local effect) or the localized electric field interaction. Future work is still needed on the underlying physics and should be directed to pursuing the unification of these nonlinear phenomena in DBD.
  • [1]
    Raizer Y P 1991 Gas Discharge Physics (Berlin: Springer)
    [2]
    Kogelschatz U 2002 IEEE Trans. Plasma Sci. 30 1400
    [3]
    Kogelschatz U 2003 Plasma Chem. Plasma Process 23 1
    [4]
    Wang X X 2009 High Volt. Eng. 35 1 (in Chinese)
    [5]
    Massines F et al 2009 Eur. Phys. J. Appl. Phys. 47 22805
    [6]
    Dong L F 2004 Dynamics of Gas Discharge Plasma (Baoding: Hebei University Press) (in Chinese)
    [7]
    Purwins H G 2008 AIP Conf. Proc. 993 67
    [8]
    Purwins H G, B?deker H U and Amiranashvili S 2010 Adv. Phys. 59 485
    [9]
    Kogelschatz U 2010 J. Phys. Conf. Ser. 257 012015
    [10]
    Raizer Y P and Mokrov M S 2013 Phys. Plasmas 20 101604
    [11]
    Brandenburg R 2017 Plasma Sources Sci. Technol. 26 053001
    [12]
    Trelles J P 2016 J. Phys. D: Appl. Phys. 49 393002
    [13]
    Purwins H G and Stollenwerk L 2014 Plasma Phys. Control. Fusion 56 123001
    [14]
    Turing A M 1952 Phil. Trans. R. Soc. London B 237 37
    [15]
    Callegari T, Bernecker B and Boeuf J P 2014 Plasma Sources Sci. Technol. 23 054003
    [16]
    Bernecker B, Callegari T and Boeuf J P 2011 J. Phys. D: Appl. Phys. 44 262002
    [17]
    Guikema J et al 2000 Phys. Rev. Lett. 85 3817
    [18]
    Klein M, Miller N and Walhout M 2001 Phys. Rev. E 64 026402
    [19]
    Duan X X et al 2011 IEEE Trans. Plasma Sci. 39 2074
    [20]
    Bernecker B et al 2009 Eur. Phys. J. Appl. Phys. 47 22808
    [21]
    Dong L F et al 2006 Phys. Rev. E 73 066206
    [22]
    Zhu P et al 2015 Phys. Plasmas 22 023507
    [23]
    Dong L F et al 2008 IEEE Trans. Plasma Sci. 36 1356
    [24]
    Dong L F et al 2004 Plasma Sources Sci. Technol. 13 164
    [25]
    Li B et al 2014 Europhys. Lett. 108 35002
    [26]
    Dong L F et al 2012 Phys. Rev. E 86 036211
    [27]
    Dong L F et al 2012 Phys. Plasmas 19 052304
    [28]
    Dong L F et al 2013 Phys. Rev. E 87 042914
    [29]
    Gurevich E L et al 2003 Phys. Rev. Lett. 91 154501
    [30]
    Purwins H G 2011 IEEE Trans. Plasma Sci. 39 2112
    [31]
    Dong L F et al 2007 New J. Phys. 9 330
    [32]
    Liu S H et al 2006 Chin. Phys. Lett. 23 3316
    [33]
    Dong L F et al 2012 Phys. Rev. E 86 056217
    [34]
    Zhu P et al 2014 IEEE Trans. Plasma Sci. 42 1990
    [35]
    Boeuf J P et al 2012 Appl. Phys. Lett. 100 244108
    [36]
    Zanin A L et al 2004 Phys. Rev. E 70 036202
    [37]
    Li B et al 2014 J. Phys. D: Appl. Phys. 47 055205
    [38]
    Brauer I et al 2000 Phys. Rev. Lett. 84 4104
    [39]
    Sato T et al 2011 IEEE Trans. Plasma Sci. 39 2202
    [40]
    Stollenwerk L 2009 New J. Phys. 11 103034
    [41]
    Stollenwerk L, Amiranashvili S and Purwins H G 2006 New J. Phys. 8 217
    [42]
    Astrov Y A and Purwins H G 2001 Phys. Lett. A 283 349
    [43]
    Li B et al 2014 Plasma Sources Sci. Technol. 23 054020
    [44]
    Dong L F et al 2005 Phys. Rev. E 72 046215
    [45]
    Dong L F et al 2012 Phys. Rev. E 85 066403
    [46]
    Duan X X et al 2009 Phys. Rev. E 80 016202
    [47]
    Abolmasov S N, Tachibana K and Shirafuji T 2011 IEEE Trans. Plasma Sci. 39 2090
    [48]
    Dong L F et al 2011 Phys. Plasmas 18 033506
    [49]
    Duan X X and Ouyang J T 2009 Trans. Beijing Inst. Technol. 29 1114 (in Chinese)
    [50]
    Wild R, Schumann T and Stollenwerk L 2014 Plasma Sources Sci. Technol. 23 054004
    [51]
    Li B and Ouyang J T 2016 Phys. Plasmas 23 113509
    [52]
    Qiao Y J, Li B and Ouyang J T 2016 Phys. Plasmas 23 013510
    [53]
    Stollenwerk L, Laven J G and Purwins H G 2007 Phys. Rev. Lett. 98 255001
    [54]
    Bogaczyk M et al 2012 J. Phys. D: Appl. Phys. 45 465202
    [55]
    Brandenburg R et al 2013 J. Phys. D: Appl. Phys. 46 464015
    [56]
    Brauer I et al 1999 J. Appl. Phys. 85 7569
    [57]
    Duan X X, He F and Ouyang J T 2012 Plasma Sources Sci. Technol. 21 015008
    [58]
    Ouyang J T et al 2012 Chin. Phys. Lett. 29 025201
    [59]
    Xu S W et al 2013 Phys. Plasmas 20 083515
    [60]
    Liu F C, He Y F and Dong L F 2014 Phys. Plasmas 21 123503
    [61]
    Liu F C et al 2016 Phys. Plasmas 23 032301
    [62]
    Zhang J, Wang Y H and Wang D Z 2015 Phys. Plasmas 22 043517
    [63]
    Stollenwerk L et al 2006 Phys. Rev. Lett. 96 255001
    [64]
    Bhoj A N and Kolobov V I 2011 IEEE Trans. Plasma Sci. 39 2152
    [65]
    Babaeva N Y and Kushner M J 2014 Plasma Sources Sci. Technol. 23 065047
    [66]
    Rafatov I 2016 Plasma Sources Sci. Technol. 25 065014
    [67]
    Liu Z W et al 2011 IEEE Trans. Plasma Sci. 39 2130
    [68]
    Laimer J, Puchhammer A and St?ri H 2009 Plasma Process. Polym. 6 S253
    [69]
    Bode M and Purwins H G 1995 Phys. D 86 53
    [70]
    Phelps A V, Petrovic Z L and Jelenkovic B M 1993 Phys. Rev. E 47 2825
    [71]
    Schenk C P et al 1997 Phys. Rev. Lett. 78 3781
    [72]
    Kolobov V and Fiala A 1994 Phys. Rev. E 50 3018
    [73]
    Amiranashvili S, Gurevich S V and Purwins H G 2005 Phys. Rev. E 71 066404
    [74]
    Benilov M S 1992 Phys. Rev. A 45 5901
    [75]
    Li B et al 2015 Phys. Plasmas 22 123508
    [76]
    Shirafuji T et al 2003 Appl. Phys. Lett. 83 2309
    [77]
    Chirokov A et al 2004 Plasma Sources Sci. Technol. 13 623
    [78]
    Abria M 1843 Ann. Chem. Phys. 7 462
    [79]
    Wullner A 1874 Prog. Ann. Phys. (Jubelband) 32
    [80]
    Spottiswood W 1876 Proc. R. Soc. London 25 73
    [81]
    Kolobov V I 2006 J. Phys. D: Appl. Phys. 39 R487
    [82]
    Okigawa A, Yoshioka T and Toki K 1999 Soc. Inf. Disp. Int. Symp. Dig. Tech. Pap. 30 276
    [83]
    Cho G et al 2000 J. Soc. Inf. Disp. 8 211
    [84]
    Yoshioka T et al 2000 J. Soc. Inf. Disp. 8 203
    [85]
    Ganter R et al 2002 J. Appl. Phys. 91 992
    [86]
    Boeuf J P 2003 J. Phys. D: Appl. Phys. 36 R53
    [87]
    Cho G et al 2000 J. Appl. Phys. 87 4113
    [88]
    Callegari T, Ganter R and Boeuf J P 2000 J. Appl. Phys. 88 3905
    [89]
    Ouyang J T et al 2007 Phys. Lett. A 360 619
    [90]
    Ouyang J T et al 2003 IEEE Trans. Plasma Sci. 31 422
    [91]
    Ouyang J T et al 2003 J. Phys. D: Appl. Phys. 36 1959
    [92]
    Zhao X F, He F and Ouyang J T 2012 Phys. Lett. A 376 2057
    [93]
    Novák M 1960 Czech. J. Phys. 10 954
    [94]
    Ouyang J T, Cao J and Miao J S 2005 Chin. Phys. Lett. 22 2892
    [95]
    Ouyang J T et al 2002 IEEE Trans. Plasma Sci. 30 186
    [96]
    Ouyang J T et al 2004 Chin. Phys. 13 1907
    [97]
    He F et al 2007 Plasma Sci. Technol. 9 198
    [98]
    Shon C H and Lee J K 2001 Phys. Plasmas 8 1070
    [99]
    Iza F et al 2005 J. Appl. Phys. 98 043302
    [100]
    Shvydky A et al 2005 IEEE Trans. Plasma Sci. 34 878
    [101]
    Khudik V N, Shvydky A and Theodosiou C E 2006 Phys. Plasmas 13 034501
    [102]
    Feng S, He F and Ouyang J T 2007 Chin. Phys. Lett. 24 2304
    [103]
    He F et al 2010 Phys. Plasmas 17 033510
    [104]
    Zhang P P, Tu Y and Yang L L 2011 Plasma Sources Sci. Technol. 20 065004
    [105]
    Hassaballa S et al 2005 Japan. J. Appl. Phys. 44 L442
    [106]
    Golubovskii Y B et al 2000 Phys. Rev. E 62 2707
    [107]
    Liu Y Y et al 2016 Plasma Sci. Technol. 18 30
    [108]
    Zhao X F, Xu S W and Ouyang J T 2013 Europhys. Lett. 103 55001
    [109]
    Zhao X F and Ouyang J T 2014 IEEE Trans. Plasma Sci. 42 2374
    [110]
    Hoder T et al 2011 Phys. Rev. E 84 046404
    [111]
    Shirai N, Ibuka S and Ishii S 2008 IEEE Trans. Plasma Sci. 36 960
    [112]
    Kumar R, Kulkarni S V and Bora D 2007 Phys. Plasmas 14 122101
    [113]
    Mulders H C J, Brok W J M and Stoffels W W 2008 IEEE Trans. Plasma Sci. 36 1380
    [114]
    Takahashi K and Ando A 2014 IEEE Trans. Plasma Sci. 42 2784
    [115]
    Liu Y X et al 2016 Phys. Rev. Lett. 116 255002
    [116]
    Cheung P Y and Wong A Y 1987 Phys. Rev. Lett. 59 551
    [117]
    Braun T, Lisboa J A and Gallas J A C 1992 Phys. Rev. Lett. 68 2770
    [118]
    Cheung P Y, Donovan S and Wong A Y 1988 Phys. Rev. Lett. 61 1360
    [119]
    Ding W X et al 1993 Phys. Rev. Lett. 70 170
    [120]
    Qin J et al 1989 Phys. Rev. Lett. 63 163
    [121]
    Ding W X et al 1994 Phys. Rev. Lett. 72 96
    [122]
    Wang Y H et al 2007 Appl. Phys. Lett. 90 071501
    [123]
    Zhang J, Wang Y H and Wang D Z 2013 Phys. Plasmas 20 082315
    [124]
    Zhang J, Wang Y H and Wang D Z 2010 Phys. Plasmas 17 043507
    [125]
    Shi H, Wang Y H and Wang D Z 2008 Phys. Plasmas 15 122306
    [126]
    Wang X Q et al 2012 Acta Phys. Sin. 61 230504 (in Chinese)
    [127]
    Dai D, Zhao X F and Wang Q M 2014 Europhys. Lett. 107 15002
    [128]
    Dai D, Wang Q M and Hao Y P 2013 Acta Phys. Sin. 62 135204 (in Chinese)
    [129]
    Dai D, Hou H X and Hao Y P 2011 Appl. Phys. Lett. 98 131503
    [130]
    Zhang D Z, Wang Y H and Wang D Z 2013 Phys. Plasmas 20 063504
    [131]
    Golubovskii Y B et al 2003 J. Phys. D: Appl. Phys. 36 39
    [132]
    Ha Y, Wang H J and Wang X F 2012 Phys. Plasmas 19 012308
    [133]
    Zhang D Z, Wang Y H and Wang D Z 2017 Chin. Phys. B 26 065206
    [134]
    Walsh J L et al 2012 Plasma Sources Sci. Technol. 21 034008
    [135]
    Zhang J, Wang Y H and Wang D Z 2011 Thin Solid Films 519 7020
    [136]
    Poincaré H 1885 Acta Math. 7 259
    [137]
    Jackson E A 1989 Perspectives of Nonlinear Dynamics (Cambridge: Cambridge University Press)
    [138]
    Glendinning P 1994 Stability, Instability and Chaos (Cambridge: Cambridge University Press)
    [139]
    Briggs K 1991 Math. Comput. 57 435
    [140]
    Zeng X, Eykholt R and Pielke R A 1991 Phys. Rev. Lett. 66 3229
    [141]
    Kantz H and Schreiber T 2004 Nonlinear Time Series Analysis 2nd edn (Cambridge: Cambridge University Press)
    [142]
    Walsh J L et al 2010 J. Phys. D: Appl. Phys. 43 075201
    [143]
    Van Loan C 1987 Computational Frameworks for the Fast Fourier Transform (Philadelphia Society for Industrial and Applied Mathematics)
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