Responses of an immobilized-catalyst Belousov–Zabotinsky reaction system to electric fields

Miyakawa, Kenji; Mizoguchi, Michiko

doi:10.1063/1.477368

Cited by 10 publications

(3 citation statements)

References 23 publications

(22 reference statements)

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“…Experiments were carried out with a localized reaction system in which the tris-(2,2Ј-bipyridine) ruthenium (II) complex ͓Ru͑bpy͒ 3 2+ ͔ was immobilized in cation exchange beads of submillimeter size [16,17]. The experimental setup is almost the same as those described in an earlier paper [14].…”

Section: Methodsmentioning

confidence: 99%

Noise-induced phase locking in coupled coherence-resonance oscillators

2004

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We investigate the effects of additive noise on coupled excitable chemical oscillators, particularly focusing on how oscillatory coupled modes can be induced by noise. We find that phase locking in the weak coupling regime occurs through coherence resonance, although the resulting phase locking modes are apparently similar to those in coupled deterministic oscillators. Experimental observations are approximately reproduced in a numerical simulation with a forced Oregonator reaction-diffusion model.

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Section: Methodsmentioning

confidence: 99%

Noise-induced phase locking in coupled coherence-resonance oscillators

2004

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“…Theoretical studies on the analysis of chemical wave propagation have suggested that an applied field may significantly alter wave propagation. , A DC electric field in the BZ reaction can alter the wave velocity, and it can also cause annihilation and splitting of the waves. , The spiral wave is forced to drift in the direction of the anode but with a perpendicular velocity component whose direction is determined by the chirality of the spiral. ,, The spiral can be dragged in this fashion and ultimately removed from the medium. An electric field can unpin a pinned spiral wave if the applied current is above a threshold current density .…”

Section: Introductionmentioning

confidence: 99%

Mechanism of Spiral Wave Unpinning in the Belousov–Zhabotinsky Reaction with a DC Electric Field

et al. 2022

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We study the mechanism of spiral wave unpinning in the Belousov–Zhabotinsky (BZ) reaction with a DC electric field. The unpinning is characterized by the phase of the spiral tip around the obstacle boundary at the time of unpinning. We systematically measure the unpinning phase as a function of the chirality of spiral rotation, the initial phase of the spiral, the size of the pinning obstacle, the direction, and the strength of the applied electric field. In both BZ experiments and simulations using the Oregonator model, we observe that the spiral wave always unpins at a fixed position with respect to the applied field. The wave unpins when the electric field component in the direction of the tip velocity of the spiral waves becomes equal to a threshold field strength. From these observations, we deduce a relation between the phase of unpinning, the size of the pinning obstacle, the strength, and the direction of the electric field, and it agrees with our observations. We conclude from our observations that a retarding ‘electric force’ on the chemical wave is responsible for the unpinning in the BZ medium. Our results indicate that the ‘electric force’ is more effective in unpinning when the wave moves away from the anode than when it is moving toward it.

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“…According to the physical preconditions, excitable media are critically dependent in their behaviour on small external forces (Sagues and Epstein 2003;Tabony 2006), and accordingly wave propagation in BZ-systems has been studied depending on a variety of such forces, as there are for example small currents, electro-magnetic fields (Blank and Soo 2003;Miyakawa and Mizoguchi 1998;Sontag 2006) and others (Schmidt and Müller 1997;Ševčíková et al 1996).…”

Section: Introductionmentioning

confidence: 99%

Properties of Wave Propagation in a Gel-type Belousov–Zhabothinsky Reaction under Micro-gravity

Hanke

Sieber

Spencer

et al. 2008

Microgravity Sci. Technol

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The Belousov-Zhabothinsky (BZ) reaction is a chemical reaction which exhibits spatial as well as temporal pattern formation. Being an excitable medium, it can be influenced by even small external forces. One of these small forces which under ground conditions permanently is given is gravity. The gravity dependence of the BZ-reaction has been investigated in some detail up to now, and it has been found that especially the propagation velocity of waves in thin layers of fluid BZ-medium depends significantly on gravity-amplitude and -orientation. This finding has been mainly assigned to an interaction of gravity with diffusion and convection in the medium at the wave front, and consequently it has been stated that the propagation of waves in gels of BZ-medium is not significantly gravity dependent. We have now done more detailed experiments and have been able to show that also in gels the propagation velocity of BZ-waves is altered by gravity, but less than in fluid systems. Experiments have been performed in a lab centrifuge, a sounding rocket experiment and a parabolic flight mission.

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Responses of an immobilized-catalyst Belousov–Zabotinsky reaction system to electric fields

Abstract: Effect of an external electric field on the diffusion-influenced geminate reversible reaction of a neutral particle and a charged particle in three dimensions. III. Ground-state ABCD reaction

Cited by 10 publications

References 23 publications

Noise-induced phase locking in coupled coherence-resonance oscillators

Noise-induced phase locking in coupled coherence-resonance oscillators

Mechanism of Spiral Wave Unpinning in the Belousov–Zhabotinsky Reaction with a DC Electric Field

Properties of Wave Propagation in a Gel-type Belousov–Zhabothinsky Reaction under Micro-gravity

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