Dynamical behavior of defect filaments in the transition to defect-meditated dust acoustic wave turbulence

以作者查詢圖書館館藏

、以作者查詢臺灣博碩士

、以作者查詢全國書目

、勘誤回報

、線上人數：25

、訪客IP：18.119.213.129

姓名

蔡俊毅(Jun-Yi Tsai) 查詢紙本館藏

畢業系所

物理學系

論文名稱

(Dynamical behavior of defect filaments in the transition to defect-meditated dust acoustic wave turbulence)

相關論文

★ 二加一維鏈狀微粒電漿液體微觀運動與結構之實驗研究	★ 剪力下的庫倫流體微觀黏彈性反應
★ 強耦合微粒電漿中的結構與動力行為研究	★ 脈衝雷射誘發之雷漿塵爆
★ 強耦合微粒電漿中脈衝雷射引發電漿微泡	★ 二維強耦合微粒電漿方向序的時空尺度律
★ 二維微粒庫倫液體中集體激發微觀動力研究	★ 超薄二維庫侖液體的整齊行為
★ 超薄二維微粒電漿庫侖流的微觀運動行為	★ 微米狹縫中之脈衝雷射誘發二維氣泡相互作用
★ 介觀微粒庫倫液體之流變學	★ 二維神經網路系統之集體發火動力學行為
★ 大白鼠腦皮質層神經元網路之同步發放行為研究	★ 二維團簇腦神經網路之同步發火
★ 二維微粒電漿液體微觀結構之記憶行為	★ 微粒電漿中電漿微泡的生成與交互作用之動力行為研究

檔案

[Endnote RIS 格式]

[Bibtex 格式]

[相關文章]

[文章引用]

[完整記錄]

[館藏目錄]

[檢視]

[下載]

本電子論文使用權限為同意立即開放。
已達開放權限電子全文僅授權使用者為學術研究之目的，進行個人非營利性質之檢索、閱讀、列印。
請遵守中華民國著作權法之相關規定，切勿任意重製、散佈、改作、轉貼、播送，以免觸法。

摘要(中)

穩定平面波可在非線性耗散系統中自發產生。藉由調升系統外部驅動，穩定平面波相轉換至弱失穩波(weakly disordered wave)現象廣泛存在於各種非線性波動系統如聲學、光學、電漿、微粒電漿系統等。因調制失穩導致的振幅與相位調制，造成波面扭曲並伴生振幅為零且相位無法定義之拓樸缺陷絲(topological defect filament)。此等不規則的波動狀亦稱缺陷紊流波 (defect-mediated turbulence)，為介於規則波動與紊流波之中介狀態。
過去在類聲波發現，調制失穩造成之波面扭曲使波面撕裂並與鄰近扭曲波面重連造就對偶(正反手性)生成之單尺度螺旋聲渦螺旋(acoustic vortex)，並環繞於對應之對偶拓樸缺陷絲上。此等自發性對稱破缺產生之聲渦，為具調制失穩的三維非線性縱波中的普世行為。然而，過去鮮少著重於探討因調制失穩導致的穩定平面波至缺陷紊波相轉換，也鮮少討論缺陷紊流波中拓樸缺陷絲的交互作用、動力行為與環繞其周圍的扭曲波形變化之動力行為。
微粒電漿系統由微米尺度帶負電顆粒懸浮於低壓電漿中，可藉由調控系統驅動使產生縱向震盪之自發性微粒電漿聲波。此研究中則以微粒電漿聲紊波為實驗平台，探討上述未被仔細研究之時空間中波形演化。
在小系統增加外部驅動使其由穩定平面波相轉換至缺陷紊波發現，平面波能從邊界撕裂出單一左旋或右旋聲渦或從中間對偶產生之聲渦推擠至邊界並保留單聲渦。單聲渦在三維空間中的軌跡調制附近扭曲波形之振幅與相位，使波譜中主頻和倍頻產生邊帶尖點(sideband peak)。增強系統驅動後，其產生多個聲渦並進入缺陷紊流波狀態。多聲渦紊亂軌跡和數量上多尺度的擾動使波形扭曲，其對應波譜中的主頻和倍頻也形成平滑寬帶。在缺陷紊流波中發現，一個波長內同(異)轉的成對洞絲相斥(相吸)，且局部曲率在三維中為負(正)相關。波形形變造成的波面拉展，使波的局部振幅梯度成為低振幅洞位移的早期指標。

摘要(英)

With increasing driving, the transition from the ordered state to the weakly disordered state before entering the turbulence state is a universal phenomenon in many nonlinear wave systems such as acoustic, plasma, optical, and dusty plasma systems. Through modulation instability, the waveforms in the weakly disordered states are spatiotemporally modulated, causing the generation of defect filaments with null amplitudes and undefined phases. It also leads to the name defect mediated turbulence (DMT).
In the weakly disordered plane traveling waves such as acoustic and optical waves, defect filaments are winded by helical waves named acoustic vortices (AVs) and optical vortices, respectively. Previous studies in acoustic type waves found that the modulation instability causes waveform undulation and induces sequential rupture and reconnection of adjacent wave crest surfaces. It is the key to generate a pair of AVs with opposite helicities winding around a pair of defect filaments with opposite topological charges. Nevertheless, the transition from the ordered plane wave state to the DMT state with many fluctuating defect filaments and the generic dynamical behaviors of defect filaments, remain unexplored fundamental issues.
In this work, those issues are experimentally addressed in a self-excited dust acoustic wave (DAW) in the dusty plasma system composed of micro-size particles with negatively charged oscillating longitudinally and suspended in a low pressure discharge, by monitoring the spatiotemporal waveform evolution in the 2+1D space-time space.
It is found that, with increasing driving in a small size system, the sequential ruptures of the crest surfaces from the cluster boundary followed by their reconnection with adjacent ruptured crest surfaces, or repelling one of the pairwise generated defects out of the boundary is the key for the single AV generation. The gyration motion of this single AV in 2+1D space-time space modulates the amplitude and phase of neighbor distorted waveforms, causing the emergence of side band peaks at the main peak and its harmonics in the power spectrum. Further increasing driving makes the system enter the state with few short-lived AV and the DMT state with multiple AVs. Gradually increasing defect filament fluctuations and defect number in the transition to the DMT more strongly distort the nearby waveforms. It leads to the transition from the emergence of the distinct side band peaks to the broadened peaks in the power spectra of temporal dust density fluctuation. In the DMT state, two defect filaments with the same (opposite) topological charges repel (attract) each other within a wavelength scale. The local filament curvature in the space is also positively correlated in that scale. Furthermore, the local wave amplitude and phase gradient caused by the wave crest surface stretching due to waveform undulation can be used as an early indicator for the subsequent propagating velocity of the defect.

關鍵字(中)

★ 微粒電漿聲波
★ 聲渦

關鍵字(英)

★ dusty plasma
★ acoustic vortex
★ dust acoustic wave
★ defect-mediated turbulence
★ defect filament

論文目次

1. Introduction 1

2. Background and theory 5
2.1 Defect mediated turbulence wave in nonlinear extended media···· 5
2.2 Acoustic vortex and defect filament···· 6
2.3 Studies on unstable filaments····· 7
2.4 Dust acoustic wave···· 8
2.4.1 Dusty plasma···· 8
2.4.2 Dust acoustic wave···· 9
2.4.3 Defect filaments and acoustic vortices in DAWs···· 10

3. Experiment and data analysis····12
3.1 Experimental setup···· 12
3.2 Data analysis···· 15
3.2.1 Normalized dust density···· 15
3.2.2 Hilbert transformation···· 16

4. Result and discussion 18
4.1 Transition from ordered wave to defect-mediated turbulence wave 18
4.1.1 Waveform evolution from ordered wave state to the DMT state····23
4.1.2 Correlation between fluctuating defects and the local dust density fluctuation···· 23
4.1.3 Generation mechanism of the single defect filament···· 28
4.2 Dynamical Behavior of the defect filament in the DMT state 30
4.2.1 Dynamical behavior of the defect filaments···· 30
4.2.2 Distorted waveform evolution with fluctuated defect filaments 35
4.3 Correlation between defect generation and the surrounding waveform····40

5. Conclusion 43

6. Bibliography 45

參考文獻

[1] M. V. Goldman, Rev. Mod. Phys. 56, 709 (1984).
[2] H. Punzmann, M. G. Shats, and H. Xia, Phys. Rev. Lett. 103, 064502 (2009).
[3] Q. Ouyang and J.-M. Flesselles, Nature 379, 143 (1996).
[4] E. G. Turitsyna, S. V. Smirnov, S. Sugavanam, N. Tarasov, X. Shu, S. A. Babin, E. V. Podivilov, D. V. Churkin, G. Falkovich, and S. K. Turitsyn, Nature Photon 7, 783 (2013).
[5] D. Pierangeli, F. Di Mei, G. Di Domenico, A. J. Agranat, C. Conti, and E. DelRe, Phys. Rev. Lett. 117, 183902 (2016).
[6] J. Pramanik, B. M. Veeresha, G. Prasad, A. Sen, and P. K. Kaw, Physics Letters A 312, 84 (2003).
[7] Y.-Y. Tsai and L. I, Phys. Rev. E 90, 013106 (2014).
[8] Y.-Y. Tsai, M.-C. Chang, J.-Y. Tsai, and L. I, Plasma Phys. Control. Fusion 59, 054006 (2017).
[9] P.-C. Lin, W.-J. Chen, and L. I, Physics of Plasmas 27, 010703 (2020).
[10] J.-Y. Tsai, P.-C. Lin, and L. I, Phys. Rev. E 101, 023210 (2020).
[11] P. Coullet, L. Gil, and J. Lega, Phys. Rev. Lett. 62, 1619 (1989).
[12] I. S. Aranson and L. Kramer, Rev. Mod. Phys. 74, 45 (2002).
[13] A. S. Mikhailov and K. Showalter, Physics Reports 425, 79 (2006).
[14] O. Kimmoun, H. C. Hsu, B. Kibler, and A. Chabchoub, Phys. Rev. E 96, 022219 (2017).
[15] A. E. Kraych, P. Suret, G. El, and S. Randoux, Phys. Rev. Lett. 122, 054101 (2019).
[16] B. Van Ruymbeke, N. Latrache, C. Gabillet, and C. Colin, Phys. Rev. Fluids 5, 034302 (2020).
[17] K. O’Holleran, M. R. Dennis, and M. J. Padgett, Phys. Rev. Lett. 102, 143902 (2009).
[18] J. Romero, J. Leach, B. Jack, M. R. Dennis, S. Franke-Arnold, S. M. Barnett, and M. J. Padgett, Phys. Rev. Lett. 106, 100407 (2011).
[19] A. W. Baggaley, J. Laurie, and C. F. Barenghi, Phys. Rev. Lett. 109, 205304 (2012).
[20] R. Hänninen and A. W. Baggaley, PNAS 111, 4667 (2014).
[21] A. J. Taylor and M. R. Dennis, J. Phys. A: Math. Theor. 47, 465101 (2014).
[22] P. McGavin and D. I. Pontin, Phys. Rev. Fluids 3, 054701 (2018).
[23] V. S. Zykov and E. Bodenschatz, Annu. Rev. Condens. Matter Phys. 9, 435 (2018).
[24] Y. Shen, X. Wang, Z. Xie, C. Min, X. Fu, Q. Liu, M. Gong, and X. Yuan, Light: Science & Applications 8, 90 (2019).
[25] Q. Wang, Y. Li, Q. Ma, G. Guo, J. Tu, and D. Zhang, Journal of Applied Physics 123, 034901 (2018).
[26] Y. Shen, X. Wang, Z. Xie, C. Min, X. Fu, Q. Liu, M. Gong, and X. Yuan, Light: Science & Applications 8, 90 (2019).
[27] M. Cromb, G. M. Gibson, E. Toninelli, M. J. Padgett, E. M. Wright, and D.Faccio, Nat. Phys. 16, 1069 (2020).
[28] N. N. Rao, P. K. Shukla, and M. Y. Yu, Planetary and Space Science 38, 543 (1990).
[29] C.-T. Liao, L.-W. Teng, C.-Y. Tsai, C.-W. Io, and L. I, Phys. Rev. Lett. 100,185004 (2008).
[30] R. L. Merlino, B. Eliasson, and P. K. Shukla, in AIP Conference Proceedings (AIP, Trieste (Italy), 2009), pp. 141–152.
[31] L.-W. Teng, M.-C. Chang, Y.-P. Tseng, and L. I, Phys. Rev. Lett. 103, 245005 (2009).
[32] R. L. Merlino, J. Plasma Phys. 80, 773 (2014).
[33] K. E. Daniels, C. Beck, and E. Bodenschatz, Physica D: Nonlinear Phenomena 193, 208 (2004).
[34] Y. Uchiyama and H. Konno, Physics Letters A 378, 1350 (2014).
[35] E. Bodenschatz, W. Pesch, and G. Ahlers, Annual Review of Fluid Mechanics 32, 709 (2000).
[36] C. Beta, A. S. Mikhailov, H. H. Rotermund, and G. Ertl, EPL 75, 868 (2006).
[37] C. Qiao, H. Wang, and Q. Ouyang, Phys. Rev. E 79, 016212 (2009).
[38] K. Nanthakumar, G. P. Walcott, S. Melnick, J. M. Rogers, M. W. Kay, W. M. 47Smith, R. E. Ideker, and W. Holman, Heart Rhythm 1, 14 (2004).
[39] P. Pathmanathan and R. A. Gray, BioMed Research International 2015, e720575 (2015).
[40] Y.-Y. Tsai, J.-Y. Tsai, and L. I, Nature Phys 12, 573 (2016).
[41] P.-C. Lin and L. I, Phys. Rev. Research 2, 023090 (2020).
[42] J.-L. Thomas and R. Marchiano, Phys. Rev. Lett. 91, 244302 (2003).
[43] C. Wilson and M. J. Padgett, New J. Phys. 12, 023018 (2010).
[44] X. Jiang, Y. Li, B. Liang, J. Cheng, and L. Zhang, Phys. Rev. Lett. 117, 034301 (2016).
[45] H. Esfahlani, H. Lissek, and J. R. Mosig, Phys. Rev. B 95, 024312 (2017).
[46] A. P. Finne, T. Araki, R. Blaauwgeers, V. B. Eltsov, N. B. Kopnin, M. Krusius, L. Skrbek, M. Tsubota, and G. E. Volovik, Nature 424, 1022 (2003).
[47] T. Török, M. A. Berger, and B. Kliem, A&A 516, A49 (2010).
[48] F. Hussain and K. Duraisamy, Physics of Fluids 23, 021701 (2011).
[49] A. W. Baggaley, J. Laurie, and C. F. Barenghi, Phys. Rev. Lett. 109, 205304 (2012).
[50] C. F. Barenghi, L. Skrbek, and K. R. Sreenivasan, PNAS 111, 4647 (2014).
[51] R. Hänninen and A. W. Baggaley, PNAS 111, 4667 (2014).
[52] A. J. Taylor and M. R. Dennis, J. Phys. A: Math. Theor. 47, 465101 (2014).
[53] L. Li, J. Zhang, H. Peter, E. Priest, H. Chen, L. Guo, F. Chen, and D. Mackay, Nature Physics 12, 847 (2016).
[54] P. McGavin and D. I. Pontin, Phys. Rev. Fluids 3, 054701 (2018).
[55] V. S. Zykov and E. Bodenschatz, Annu. Rev. Condens. Matter Phys. 9, 435 (2018).
[56] S. Xiong and Y. Yang, Journal of Fluid Mechanics 874, 952 (2019).
[57] E. Falcon, G. Michel, G. Prabhudesai, A. Cazaubiel, M. Berhanu, N. Mordant, S. Aumaître, and F. Bonnefoy, Phys. Rev. Lett. 125, 134501 (2020).
[58] J. Yao and F. Hussain, Journal of Fluid Mechanics 883, (2020).
[59] I. Marusic and S. Broomhall, Annual Review of Fluid Mechanics 53, 1 (2021).
[60] P. A. Davidson, Turbulence: An Introduction for Scientists and Engineers (Oxford University Press, Oxford, UK ; New York, 2004).
[61] P.-C. Lin and L. I, Phys. Rev. Lett. 120, 135004 (2018).
[62] S. Nazarenko, Wave Turbulence, Vol. 825 (Springer Berlin Heidelberg, Berlin, Heidelberg, 2011).
[63] B. Chapman, Glow discharge process: sputtering and plasma etching (John Wiley & Sons, Inc., 1980)
[64] M. Salimullah and A. Sen, Physics Letters A 163, 82 (1992).
[65] J. H. Chu, J.-B. Du, and L. I, J. Phys. D: Appl. Phys. 27, 296 (1994).
[66] R. L. Merlino, B. Eliasson, and P. K. Shukla, in AIP Conference Proceedings 49(AIP, Trieste (Italy), 2009), pp. 141–152.
[67] P. K. Shukla and B. Eliasson, Rev. Mod. Phys. 81, 25 (2009).
[68] Y. Nakamura, H. Bailung, and P. K. Shukla, Phys. Rev. Lett. 83, 1602 (1999).
[69] P. Bandyopadhyay, G. Prasad, A. Sen, and P. K. Kaw, Phys. Rev. Lett. 101, 065006 (2008).
[70] J. Heinrich, S.-H. Kim, and R. L. Merlino, Phys. Rev. Lett. 103, 115002 (2009).
[71] V. Nosenko, S. K. Zhdanov, S.-H. Kim, J. Heinrich, R. L. Merlino, and G. E. Morfill, Europhys. Lett. 88, 65001 (2009).
[72] K. O. Menzel, O. Arp, and A. Piel, Phys. Rev. Lett. 104, 235002 (2010).
[73] T. M. Flanagan and J. Goree, Physics of Plasmas 18, 013705 (2011).
[74] J. D. Williams, Phys. Rev. E 89, 023105 (2014).
[75] W. M. Moslem, R. Sabry, S. K. El-Labany, and P. K. Shukla, Phys. Rev. E 84, 066402 (2011).
[76] P. K. Shukla and B. Eliasson, Phys. Rev. E 86, 046402 (2012).
[77] N. D’Angelo, J. Phys. D: Appl. Phys. 28, 1009 (1995).
[78] S. Knist, F. Greiner, F. Biss, and A. Piel, Contributions to Plasma Physics 51, 769 (2011).
[79] Y.-W. Liu, Hilbert Transform and Applications (IntechOpen, 2012).

指導教授

伊林(Lin I)

審核日期

2021-7-13

推文