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

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 selforganization 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]  R. Ganter,et al.  Physical phenomena in a coplanar macroscopic plasma display cell I. Infrared and visible emission , 2002 .

[2]  M Klein,et al.  Time-resolved imaging of spatiotemporal patterns in a one-dimensional dielectric-barrier discharge system. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  D. Dai,et al.  Inverse period-doubling bifurcation in an atmospheric helium dielectric barrier discharge , 2014 .

[4]  Ouyang Ji-ting,et al.  Striations in Plasma Display Panel , 2005 .

[5]  Brauer,et al.  Traveling pairs of spots in a periodically driven gas discharge system: collective motion caused by interaction , 2000, Physical review letters.

[6]  Cheung,et al.  Observations of intermittent chaos in plasmas. , 1988, Physical review letters.

[7]  N. Gherardi,et al.  Recent advances in the understanding of homogeneous dielectric barrier discharges , 2009 .

[8]  Xiaofei Zhao,et al.  Simulation of striation in large-gap coplanar plasma display panels , 2010 .

[9]  Lifang Dong,et al.  Hexagon and stripe patterns in dielectric barrier streamer discharge , 2004 .

[10]  Li Xuechen,et al.  Experimental Study on Spiral Patterns in Dielectric Barrier Discharge System , 2006 .

[11]  Yafeng He,et al.  Observation of spiral pattern and spiral defect chaos in dielectric barrier discharge in argon/air at atmospheric pressure. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  M. Novák.  Spatial period of moving striations as function of electric field strength in glow discharge , 1960 .

[13]  J. Ouyang,et al.  Pattern Formation in a One-Dimensional Dielectric-Barrier Discharge Using Coplanar Electrodes , 2011, IEEE Transactions on Plasma Science.

[14]  L. Tessier,et al.  Characterization of micro‐cell discharge in AC‐PDPs by spatio‐temporal optical emission spectroscopy , 2000 .

[15]  H. Wagner,et al.  Surface charge accumulation and discharge development in diffuse and filamentary barrier discharges operating in He, N2 and mixtures , 2012 .

[16]  Kelly S. Robinson,et al.  Analysis of two-dimensional microdischarge distribution in dielectric-barrier discharges , 2004 .

[17]  Hans-Georg Purwins,et al.  Simulations of self-organized filaments in a dielectric barrier glow discharge plasma , 1999 .

[18]  R. Brandenburg,et al.  Novel insights into the development of barrier discharges by advanced volume and surface diagnostics , 2013 .

[19]  Self-Organized Patterns in Gas-Discharge: Particle-Like Behaviour and Dissipative Solitons , 2008 .

[20]  Kunihide Tachibana,et al.  Observation of self-organized filaments in a dielectric barrier discharge of Ar gas , 2003 .

[21]  Mathias Bode,et al.  Interacting Pulses in Three-Component Reaction-Diffusion Systems on Two-Dimensional Domains , 1997 .

[22]  Phelps,et al.  Oscillations of low-current electrical discharges between parallel-plane electrodes. III. Models. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[23]  Nonlinear behaviors in a pulsed dielectric barrier discharge at atmospheric pressure , 2011 .

[24]  H. Purwins,et al.  Plasma spots in a gas discharge system: birth, scattering and formation of molecules , 2001 .

[25]  Lifang Dong,et al.  Self-Organized Gas-Discharge Patterns in a Dielectric-Barrier Discharge System , 2008, IEEE Transactions on Plasma Science.

[26]  H. Purwins,et al.  Concentric-ring patterns in a dielectric barrier discharge system. , 2003, Physical review letters.

[27]  R. Ganter,et al.  Diagnostics and modeling of a macroscopic plasma display panel cell , 2000 .

[28]  Weixing,et al.  Quasiperiodic transition to chaos in a plasma. , 1993, Physical review letters.

[29]  Modeling of asymmetric pulsed phenomena in dielectric-barrier atmospheric-pressure glow discharges , 2012 .

[30]  You-nian Wang,et al.  Experimental Observation and Computational Analysis of Striations in Electronegative Capacitively Coupled Radio-Frequency Plasmas. , 2016, Physical review letters.

[31]  S. Gurevich,et al.  Ionization fronts in planar dc discharge systems with high-ohmic electrode. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[32]  J. Boeuf,et al.  Pattern formation and dynamics of plasma filaments in dielectric barrier discharges , 2014 .

[33]  She,et al.  Controlling chaos in a discharge plasma. , 1994, Physical review letters.

[34]  U. Kogelschatz.  Dielectric-Barrier Discharges: Their History, Discharge Physics, and Industrial Applications , 2003 .

[35]  H. Störi,et al.  Plasma Sheath Dynamics in Dielectric Barrier-Free Atmospheric Pressure Radio-Frequency Glow Discharges , 2009 .

[36]  D. Bora,et al.  Cylindrical stationary striations in surface wave produced plasma columns of argon , 2007 .

[37]  E. Choi,et al.  Striations in a coplanar ac-plasma display panel , 2000 .

[38]  Cheung,et al.  Chaotic behavior and period doubling in plasmas. , 1987, Physical review letters.

[39]  Xiaofei Zhao,et al.  Formation of striations in large-gap coplanar dielectric barrier discharge , 2012 .

[40]  L. Stollenwerk,et al.  Controlled structures in laterally patterned barrier discharges by illumination of the semiconductor electrode , 2014 .

[41]  Core dynamics of a multi-armed spiral pattern in a dielectric barrier discharge , 2007 .

[42]  Chung‐Hoo Park,et al.  Laser Thomson Scattering Measurements of Electron Density and Temperature Profiles of a Striated Plasma in a Plasma Display Panel (PDP)-Like Discharge , 2005 .

[43]  Y. Raǐzer,et al.  Physical mechanisms of self-organization and formation of current patterns in gas discharges of the Townsend and glow types , 2013 .

[44]  Benilov.  Theory of structures in near-electrode plasma regions. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[45]  N. Shirai,et al.  Atmospheric DC Glow Discharge Observed in Intersecting Miniature Gas Flows , 2008, IEEE Transactions on Plasma Science.

[46]  S. Blanco,et al.  Generation, annihilation, dynamics and self-organized patterns of filaments in dielectric barrier discharge plasmas , 2012 .

[47]  S. Amiranashvili,et al.  Dissipative solitons , 2010 .

[48]  Feng Shuo,et al.  Effect of Wall Charge on Striation in Plasma Display Cells , 2007 .

[49]  Lifang Dong,et al.  Simulation of stationary glow patterns in dielectric barrier discharges at atmospheric pressure , 2014 .

[50]  S. Amiranashvili,et al.  Forced random walks with memory in a glow mode dielectric barrier discharge , 2006 .

[51]  Juan Pablo Trelles,et al.  Pattern formation and self-organization in plasmas interacting with surfaces , 2016 .

[52]  Jean-Pierre Boeuf,et al.  Large-gap AC coplanar plasma display cells: macro-cell experiments and 3-D simulations , 2003 .

[53]  J. Boeuf.  Plasma display panels: physics, recent developments and key issues , 2003 .

[54]  R. Brandenburg,et al.  Striated microdischarges in an asymmetric barrier discharge in argon at atmospheric pressure. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[55]  Jae Koo Lee,et al.  The mechanism of striation formation in plasma display panels , 2005 .

[56]  L. Stollenwerk.  Interaction of current filaments in dielectric barrier discharges with relation to surface charge distributions , 2009 .

[57]  Lifang Dong,et al.  Numerical simulations of superlattice patterns in dielectric barrier discharges at atmospheric pressure , 2016 .

[58]  Klein,et al.  Spontaneous pattern formation in an effectively one-dimensional dielectric-barrier discharge system , 2000, Physical review letters.

[59]  Lifang Dong,et al.  Pattern formation based on the triple-layer coupling mechanism. , 2013, Physical review. E, Statistical, nonlinear, and soft matter physics.

[60]  J. Boeuf,et al.  Large gap plasma display cell with auxiliary electrodes: macro-cell experiments and two-dimensional modelling , 2003 .

[61]  H. Purwins.  Self-Organized Patterns in Planar Low-Temperature AC Gas Discharge , 2011, IEEE Transactions on Plasma Science.

[62]  Imaging of a macroscopic plasma display panel cell , 2002 .

[63]  B. Bernecker,et al.  Evidence of a new form of self-organization in DBD Plasmas: the quincunx structure , 2011 .

[64]  Dynamic model based on voltage transfer curve for pattern formation in dielectric barrier glow discharge , 2015 .

[65]  Dezhen Wang,et al.  Nonlinear behavior in the time domain in argon atmospheric dielectric-barrier discharges , 2008 .

[66]  C. Loan.  Computational Frameworks for the Fast Fourier Transform , 1992 .

[67]  W. Brok,et al.  Striations in a Low-Pressure RF-Driven Argon Plasma , 2006, IEEE Transactions on Plasma Science.

[68]  Effect of volume and surface charges on discharge structure of glow dielectric barrier discharge , 2013 .

[69]  V. Kolobov,et al.  Pattern Formations in Dielectric Barrier Discharges , 2011, IEEE Transactions on Plasma Science.

[70]  Y. Hao,et al.  Influence of gap width on discharge asymmetry in atmospheric pressure glow dielectric barrier discharges , 2011 .

[71]  Xiaofei Zhao,et al.  Evolution of Striation in Pulsed Glow Discharges , 2016 .

[72]  Bin Li,et al.  The Spatiotemporal Pattern Formed in an Atmospheric-Pressure Radio-Frequency Dielectric-Barrier-Discharge Oxygen Plasma , 2011, IEEE Transactions on Plasma Science.

[73]  A. Turing.  The chemical basis of morphogenesis , 1952, Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences.

[74]  Lifang Dong,et al.  Spatiotemporal characteristics of a patterned dielectric barrier discharge controlled by various mechanisms , 2014 .

[75]  S. Blanco,et al.  Hexagonal and honeycomb structures in Dielectric Barrier Discharges , 2009 .

[76]  Lifang Dong,et al.  Collective vibration of discharge current filaments in a self-organized pattern within a dielectric barrier discharge. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[77]  Feng Shuo,et al.  Mechanism of Striation in Dielectric Barrier Discharge , 2007 .

[78]  H. Purwins,et al.  Rotating hexagonal pattern in a dielectric barrier discharge system. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[79]  Lifang Dong,et al.  Motion of rotating pairs in a hexagonal superlattice pattern within dielectric barrier discharge. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[80]  U. Kogelschatz,et al.  Filamentary, patterned, and diffuse barrier discharges , 2002 .

[81]  J. Ouyang,et al.  Striation in large-gap coplanar plasma display cells , 2007 .

[82]  Lifang Dong,et al.  Vibration of Discharge Filaments in a Dielectric Barrier Discharge , 2014, IEEE Transactions on Plasma Science.

[83]  I. Rafatov.  Three-dimensional numerical modelling of temporal and spatial pattern formation in a dc-driven gas discharge-semiconductor system , 2016 .

[84]  Yafeng He,et al.  Square superlattice pattern in dielectric barrier discharge. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[85]  R. Eykholt,et al.  Estimating the Lyapunov-exponent spectrum from short time series of low precision. , 1991, Physical review letters.

[86]  Yuan,et al.  Chaos and bifurcations in periodic windows observed in plasmas. , 1989, Physical review letters.

[87]  P. Zhu,et al.  Honeycomb superlattice pattern in a dielectric barrier discharge in argon/air , 2015 .

[88]  Xiaofei Zhao,et al.  Pattern formation and boundary effect in dielectric barrier glow discharge. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[89]  Xiaofei Zhao,et al.  Simultaneous formation of striations and patterns in surface dielectric barrier discharge , 2013 .

[90]  T. Shirafuji,et al.  Mechanisms of Pattern Formation in Dielectric Barrier Discharges , 2011, IEEE Transactions on Plasma Science.

[91]  Jae Koo Lee,et al.  Striation phenomenon in the plasma display panel , 2001 .

[92]  Iu. P. Raizer.  Gas Discharge Physics , 1991 .

[93]  J. Boeuf,et al.  Measurement and 3D simulation of self-organized filaments in a barrier discharge. , 2006, Physical review letters.

[94]  H. Poincaré.  Sur l'équilibre d'une masse fluide animée d'un mouvement de rotation , 1885, Bulletin astronomique.

[95]  Young–Guon Kim,et al.  Discharge striations on a coplanar AC‐PDP , 2000 .

[96]  Vladimir Kolobov,et al.  Striations in rare gas plasmas , 2006 .

[97]  Kolobov,et al.  Transition from a Townsend discharge to a normal discharge via two-dimensional modeling. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[98]  Comparing investigation of pattern formation in glow and streamer DBD , 2016 .

[99]  A. Shvydky,et al.  Three-dimensional Monte Carlo/particle-in-cell studies of anode striations and cathode ionization wave in barrier-discharges in AC-PDP cell , 2006, IEEE Transactions on Plasma Science.

[100]  U. Kogelschatz,et al.  Collective phenomena in volume and surface barrier discharges , 2010 .

[101]  Ben Li,et al.  On the mechanism of pattern formation in glow dielectric barrier discharge , 2016 .

[102]  Numerical simulation of torus breakdown to chaos in an atmospheric-pressure dielectric barrier discharge , 2013 .

[103]  H. Purwins,et al.  Synergetic aspects of gas-discharge: lateral patterns in dc systems with a high ohmic barrier , 2014 .

[104]  H. Purwins,et al.  Spatially resolved surface-charge measurement in a planar dielectric-barrier discharge system. , 2007, Physical review letters.

[105]  Kazunori Takahashi,et al.  Observation of Stationary Plasma Striation and Collimated Plasma Transport in a 100-kHz Inductively Coupled Plasma Discharge , 2014, IEEE Transactions on Plasma Science.

[106]  Mathias Bode,et al.  Pattern formation in reaction-diffusion systems—dissipative solitons in physical systems , 1995 .

[107]  Keith Briggs,et al.  A precise calculation of the Feigenbaum constants , 1991 .

[108]  Evidence of homoclinic chaos in the plasma of a glow discharge. , 1992, Physical review letters.

[109]  Dezhen Wang,et al.  Simulation study of one-dimensional self-organized pattern in an atmospheric-pressure dielectric barrier discharge , 2015 .

[110]  Dezhen Wang,et al.  Numerical study of period multiplication and chaotic phenomena in an atmospheric radio-frequency discharge , 2010 .

[111]  Lifang Dong,et al.  Hexagonal superlattice pattern consisting of colliding filament pairs in a dielectric barrier discharge , 2012 .

[112]  Dezhen Wang,et al.  Period multiplication and chaotic phenomena in atmospheric dielectric-barrier glow discharges , 2007 .

[113]  J. Behnke,et al.  Nonlocal electron kinetics and densities of excited atoms in S and P striations , 2000 .

[114]  J. Behnke,et al.  Modelling of the homogeneous barrier discharge in helium at atmospheric pressure , 2003 .

[115]  A. Shvydky,et al.  Striations in dielectric barrier discharge systems with a hollow anode , 2006 .