Accelerating fronts in an electrochemical system due to global coupling

Flätgen, Georg; Krischer, Katharina

doi:10.1103/physreve.51.3997

Cited by 76 publications

(70 citation statements)

References 24 publications

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“…The rotation of the ring ensured also a defined mass transport of H 2 , as well as Cu 2 and Cl ÿ ions from the bulk electrolyte to the reaction plane at the WE. Note, however, that the rotation did not interfere with the pattern formation, which occurs at the solid-liquid interface, i.e., within a boundary layer that is firmly attached to and rotates with the WE, as also confirmed in independent experiments [18]. The RE was placed in a separate compartment whose junction to the main cell was below the CE.…”

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confidence: 87%

Transitions to Electrochemical Turbulence

et al. 2005

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We report experimental evidence of transitions from limit cycle oscillations through a phase turbulent regime to space-time defect turbulence in a spatially (quasi-)one-dimensional electrochemical system with nonlocal coupling. The transitions are characterized in terms of the defect density, the KarhunenLoève decomposition dimension, and a measure of the degree of spatial correlation in the data. Furthermore, these quantities give the first experimental confirmation that the spatial coupling range in electrochemical systems indeed depends on the distance between the working and the counterelectrode.

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confidence: 87%

Transitions to Electrochemical Turbulence

et al. 2005

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“…[23] Such elements can have local or diffusive connections between them. For regular lattices and linear chains (i.e., for relatively simple networks), it is known that, under sufficiently weak coupling, the fronts fail to propagate, and thus stationary domains can be formed, [24,25,26,27] whereas at strong coupling the fronts spread [27,28] and a uniform state is eventually established. Recently, analogues phenomena were theoretically investigated for complex networks and the formation of stationary domains, sensitive to the network topology, was predicted based on a simple model of regular trees and onecomponent bistable elements.…”

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confidence: 99%

Self‐Organized Stationary Patterns in Networks of Bistable Chemical Reactions

et al. 2016

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Experiments with a network of bistable electrochemical reactions, organized in regular and non-regular tree networks, are presented to confirm an alternative to Turing mechanism for formation selforganized stationary patterns. The results show that the pattern formation can be described by identification of domains that can be activated individually or in combinations. The method was also demonstrated to localization of chemical reactions to network substructures and identification of critical sites whose activation results in complete activation of the system. While the experiments were performed with a specific nickel electrodissolution system, they reproduce all the salient dynamical behavior of a general network model with a single nonlinearity parameter. This indicates that the considered pattern formation mechanism is very robust and similar behavior can thus be expected in other natural or engineered networked systems, which exhibit, at least locally, a tree-like structure.In biological context, many chemical reactions take place in discrete units, e.g., in cells, that form a complex network. The interplays between local reaction kinetics (nodes), the physical processes that create coupling (link), and the architecture of the network in such systems can lead to a wealth of self-organized phenomena, including synchronization, [4,6,8] stationary Turing and oscillatory patterns, [9,10,11,12,13] or excitation waves. [14,15,16] Stationary patterns generated via the Turing[17] mechanism have been observed in experiments for both continuous [18] and networked [19] systems. Here, an alternative mechanism for emergence of stationary patterns in networks is experimentally explored. We focus on network-organized systems of bistable elements with diffusive connections between them. Bistable elements can be found in a broad class of chemical reactions (e.g., with autocatalysis [20,21]) but also in cellular [22] and engineered systems.[23] Such elements can have local or diffusive connections between them. For regular lattices and linear chains (i.e., for relatively simple networks), it is known that, under sufficiently weak coupling, the fronts fail to propagate, and thus stationary domains can be formed, [24,25,26,27] whereas at strong coupling the fronts spread [27,28] and a uniform state is eventually established. Recently, analogues phenomena were theoretically investigated for complex 1

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“…2 Because the potential distribution in the electrolyte depends on the conductivity and the cell geometry (i.e., size of the working electrode, geometrical positions of working, reference and counter electrodes), the strength and the scale of the coupling also are functions of these quantities. Several interesting spatiotemporal phenomena have been observed, e.g., accelerating fronts, 7,8 standing and traveling waves, 6,9-11 rotating waves, 12 spatial period-doublings, [13][14][15] spirals, [16][17][18] and Turing patterns. 5 With increasing the coupling strength in the oscillatory region transitions from unsynchronized periodic behavior through irregular and periodic clusters 19 to synchronized oscillations [19][20][21][22] have been observed.…”

Section: Introductionmentioning

confidence: 99%

Phase synchronization of nonidentical chaotic electrochemical oscillators

Kiss

Hudson

2002

Phys. Chem. Chem. Phys.

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Experiments on two coupled chaotic electrochemical oscillators with different frequencies are presented. We consider two types of coupling. The first is imposed through a set of external resistors. The second arises from the potential drop in the electrolyte and generally depends on cell geometry and reaction rate. Phase synchronization is observed with the addition of weak coupling of both types. Along with the onset of phase synchronization an increase in the amplitude of the mean current oscillations occurs. Simulations using a coupled form of an electrochemical model support the experimental findings.

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Accelerating fronts in an electrochemical system due to global coupling

Cited by 76 publications

References 24 publications

Transitions to Electrochemical Turbulence

Transitions to Electrochemical Turbulence

Self‐Organized Stationary Patterns in Networks of Bistable Chemical Reactions

Phase synchronization of nonidentical chaotic electrochemical oscillators

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