Hexagon and stripe Turing structures in a gas discharge system

Astrov, Yu. A.; Ammelt, E.; Teperick, S.; Purwins, H.‐G.

doi:10.1016/0375-9601(95)00926-4

Cited by 73 publications

(53 citation statements)

References 16 publications

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“…Purwins and co-workers presented a number of papers on pattern formation in gas discharges and used phenomenological two or three component activator-inhibitor models (reaction diffusion models) to reproduce the observed luminous patterns [25]. A variety of self-organized patterns could be generated without using details about gas discharge physics.…”

Section: Modelling Of Pattern Formation In Vbdsmentioning

confidence: 99%

Collective phenomena in volume and surface barrier discharges

Kogelschatz

2010

J. Phys.: Conf. Ser.

105

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Abstract. Barrier discharges are increasingly used as a cost-effective configuration to produce non-equilibrium plasmas at atmospheric pressure. This way, copious amounts of electrons, ions, free radicals and excited species can be generated without significant heating of the background gas. In most applications the barrier is made of dielectric material. Major applications utilizing mainly dielectric barriers include ozone generation, surface cleaning and modification, polymer and textile treatment, sterilization, pollution control, CO 2 lasers, excimer lamps, plasma display panels (flat TV screens). More recent research efforts are devoted to biomedical applications and to plasma actuators for flow control. Sinusoidal feeding voltages at various frequencies as well as pulsed excitation schemes are used. Volume as well as surface barrier discharges can exist in the form of filamentary, regularly patterned or diffuse, laterally homogeneous discharges. The physical effects leading to collective phenomena in volume and surface barrier discharges are discussed in detail. Special attention is paid to selforganization of current filaments and pattern formation. Major similarities of the two types of barrier discharges are elaborated.

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Section: Modelling Of Pattern Formation In Vbdsmentioning

confidence: 99%

Collective phenomena in volume and surface barrier discharges

Kogelschatz

2010

J. Phys.: Conf. Ser.

105

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“…These models provide a general theoretical framework for describing pattern formation in systems from many diverse disciplines including (but not limited to) biology [2,3,8,6], chemistry [9,6], neuroscience [10], physics [11], and optics [12,13]. While standard reaction-diffusion models provide a good description of pattern formation in homogeneous media, few realistic physical and biological systems are spatially homogeneous.…”

Section: Introductionmentioning

confidence: 99%

Existence of Turing Instabilities in a Two-Species Fractional Reaction-Diffusion System

Henry¹,

Wearne²

2002

SIAM J. Appl. Math.

186

121

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Abstract. We introduce a two-species fractional reaction-diffusion system to model activatorinhibitor dynamics with anomalous diffusion such as occurs in spatially inhomogeneous media. Conditions are derived for Turing-instability induced pattern formation in these fractional activatorinhibitor systems whereby the homogeneous steady state solution is stable in the absence of diffusion but becomes unstable over a range of wavenumbers when fractional diffusion is present. The conditions are applied to a variant of the Gierer-Meinhardt reaction kinetics which has been generalized to incorporate anomalous diffusion in one or both of the activator and inhibitor variables. The anomalous diffusion extends the range of diffusion coefficients over which Turing patterns can occur. An intriguing possibility suggested by this analysis, which can arise when the diffusion of the activator is anomalous but the diffusion of the inhibitor is regular, is that Turing instabilities can exist even when the diffusion coefficient of the activator exceeds that of the inhibitor.

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“…An interesting series of experiments has been performed on such glow discharges with wide lateral extension [2][3][4][5][6][7][8][9][10][11][12][13] where the formed patterns were explored very systematically. The observed structures (stripes, hexagons, spirals, spots, homogeneous oscillations, etc.)…”

mentioning

confidence: 99%

“…In comparison to the other systems, the glow discharge system has the advantage of particular convenient experimental handling and time scales [14]. In addition to structures familiar from other physical systems, glow discharges continue to exhibit new structures that might be specific for this system [2][3][4][5][6][7][8][9][10][11][12][13]. We will focus on the experiment in Ref.…”

mentioning

confidence: 99%