Periodic and turbulent behavior of solitary structures in distributed active media

Willebrand, H.; Hünteler, T.; Niedernostheide, F.‐J.; Dohmen, R.; Purwins, H.‐G.

doi:10.1103/physreva.45.8766

Cited by 76 publications

(36 citation statements)

References 23 publications

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“…R 1 A: Si, C: Cu Figure 12(a) [27,71,72,102,103] Travelling fs Increasing number of fs with increasing U 0 Reflection at boundary and at each other Formation of bound states (molecules) with well-defined distance Generation and annihilation Spatial-temporal chaos based on f motion c % 300 m/s D ¼ 0.5 À 1.0 mm DSs Same size and shape of fs at given parameters Same speed for noninteracting fs for given parameters Coexistence of stat. and travelling fs Example: Figure 15 4.…”

Section: Systems With High-ohmic Electrodementioning

confidence: 99%

See 1 more Smart Citation

Dissipative solitons

Purwins¹,

Bödeker²,

Amiranashvili³

2010

Advances in Physics

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220

193

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Section: Systems With High-ohmic Electrodementioning

confidence: 99%

“…and travelling fs Example: Figure 15 4. R 1 A: Si, C: Cu Figure 12(a) [71,72,102] Intermittent chaotic oscillations in the position of fs Periodic generation of fs at one boundary and annihilation at the other Fishbone-like pattern in the space time plot D % like entry 1,2 bound % 0.3 ms fishbone % 20 ms…”

Section: Systems With High-ohmic Electrodementioning

confidence: 99%

Dissipative solitons

Purwins¹,

Bödeker²,

Amiranashvili³

2010

Advances in Physics

Self Cite

220

193

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“…A selection of many-body patterns is depicted in fig 7. -From the point of view of SOPs filamentary patterns have also been investigated in 2-d ac systems ( [30][31][32][33][34][35]), in 1-d ac systems ([e.g. 36]) and in 1-d dc systems ( [37,38]). A summary of early experimental work on ac systems from the point of view of gas-discharge can be found in [3 9].…”

Section: Resultsmentioning

confidence: 99%

“…1 optoelectronically controlled soft-material preparation is possible. -It is evident that in 1-d devices pulse and data transmission is possible without significant change of the shape just as is the case with nerve pulse transmission [38]. -In [50,51], it has been proven that in a 2-d ac devices Voronoi diagrams can be constmcted in an analogue manner.…”

Section: S=s"mentioning

confidence: 99%

Self-Organized Patterns in Gas-Discharge: Particle-Like Behaviour and Dissipative Solitons

Purwins¹

2008

AIP Conference Proceedings

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The understanding of self-organise patterns in spatially extended nonlinear dissipative systems (SOPs) is one of the most challenging subjects in modem natural sciences. In the last 20 years it turned out that research in the field of low temperature gas-discharge can help to obtain insight into important aspect of SOPs. At the same time, due to the practical relevance of plasma systems one might expect interesting applications. In the present paper the focus is on selforganised filamentary patterns in planar dc and ac systems with high ohmic and dielectric barrier, respectively. -In the discharge plane of these systems filaments show up as spots which are also referred to as dissipative solitons (DSs). In many respect experimentally detected DSs exhibit particle-like behaviour. Among other things, isolated stationary or travelling DSs, stationary, travelling or rotating "molecules" and various kinds of many-body systems have been observed. Also scattering, generation and annihilation of DSs are frequent phenomena. -At least some of these patterns can be described quantitatively in terms of a drift diffusion model. It is also demonstrated that a simple reaction diffusion model allows for an intuitive understanding of many of the observed phenomena. At the same time this model is the basis for a theoretical foundation of the particle picture and the experimentally observed universal behaviour of SOPs. -Finally some hypothetical applications are discussed.

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“…If local kinetics is bistable, the global control of this kind causes spontaneous symmetry breaking on a global scale [21] due to immobilization of kinks. In electrochemical experiments [22,23] or glow discharge devices [24], the global controlling factor is the conservation of the total current. In both catalytic and electrochemical studies, oscillatory local kinetics, that would normally lead to a pattern of propagating waves (or coupled fast kinks) in a distributed system, generates standing waves under conditions of global control.…”

Section: Introductionmentioning

confidence: 99%