Experimental evidence for deterministic chaos in electrochemical deposition

Argoul, Françoise; Arnéodo, A.

doi:10.1051/jphys:0199000510210247700

Cited by 22 publications

(7 citation statements)

References 55 publications

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“…The preferred growth of certain individualized species (here deposited trees) is similar to the possibilty of individualization of species in biology [27], ecology [28], and cosmology [29], and is known to occur in chaotic systems. Experimental evidence for deterministic chaos in the electrochemical deposition of zinc was indeed proved in a study by Argoul and Arneodo [30].…”

Section: Discussionmentioning

confidence: 92%

Density, fractal angle, and fractal dimension in linear Zn electrodeposition morphology

Saab¹,

Sultan

2005

Journal of Non-Equilibrium Thermodynamics

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In this paper, we explore some aspects of the formation of tree-like structures (dendrites) with branching and ramifications in Zn electrodeposition systems. A special cell is designed wherein dendrites are grown between two parallel electrodes. All measurements are carried out at fixed voltage (9.5 V). As the concentration is varied at that fixed potential, the fractal box-count dimension is exactly anti-correlated with the pattern density. The latter is measured by the fraction covered by the electrodeposits, of a total area delimited by the cathode and the farthest dendritic tip. At relatively high concentration, the obtuse angle of lateral branching and the box dimension show a good correlation. The pattern density decreases with interelectrode distance, thus displaying a perfect correlation with the dependence of the current on the latter parameter. The time evolution of the pattern density exhibits an interesting oscillation caused by the preferential growth of individualized trees.

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Section: Discussionmentioning

confidence: 92%

Density, fractal angle, and fractal dimension in linear Zn electrodeposition morphology

Saab¹,

Sultan

2005

Journal of Non-Equilibrium Thermodynamics

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“…Oxidation of H 2 [19][20][21][22][23] Cu [53][54][55][56][57][58][59][60][61][62] Zn [88][89][90][91][92][93] Oxidation of HCHO [24,25] Fe [63][64][65][66][67][68][69][70][71] Sn [94][95][96][97][98] Oxidation of HCOOH [26][27][28][29][30][31][32] Co [72][73][74][75] Au [99,100] Oxidation of CO [33,34] Ni …”

Section: Dynamic Self-organization In Electrochemical Reactionsmentioning

confidence: 99%

Self‐Organized Formation of Layered Nanostructures by Oscillatory Electrodeposition

Nakanishi

2008

Nanostructured Materials in Electrochemistry

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Solid surfaces with ordered nanostructures, such as layers, dots, holes, and grooves (or ridges), have provided unique microelectronic, optical, magnetic, and micromechanical properties, as summarized in a recent review [1]. Focused photon-, electron-, ion-, and molecular-beam lithography (top-down method) have been widely used for creating desired nanostructures at the surface. However, these techniques are now facing serious problems, such as difficulties in mass production and cost increases due to the use of expensive, specialized apparatus. In the hope of overcoming those problems associated with the conventional techniques, a self-organization method (bottom-up method) has recently attracted much attention.In general, self-organization methods in chemistry can be categorized into two different types. One type is self-organization under thermodynamically equilibrium conditions, in which the ordered structures are formed on the basis of specific properties of intermolecular forces. Self-assembled structures, such as lipidbilayers, close-packed layers of nanospheres, and monolayers of thiol molecules on gold surfaces, are the representative examples. Many studies have been performed on this type of self-organization, as summarized in reviews [2][3][4][5][6][7][8][9][10]. At present, the main issues to be tackled for these methods are to improve their regularity and to be able to place nanostructures of desired size at desired locations. In the other type of self-organization, the ordered structures are formed under thermodynamically nonequilibrium conditions. A wide variety of dynamic spatiotemporal orders, such as oscillations and spatiotemporal patterns, appear in a self-organization manner [10][11][12][13].The spatiotemporal patterns in the dynamic self-organization phenomena have some unique and attractive properties for producing materials of ordered structures: j267 Nanostructured Materials in Electrochemistry. Edited by Ali Eftekhari . The patterns appear spontaneously, without any external control. . The observed patterns have a long-range order. . Various ordered patterns are obtained simply by changing experimental parameters.In fact, several studies have been performed on the application of dynamic selforganization for the formation of ordered structures. For example, the self-organized formation of 2-dimensional (2D) ordered patterns on nano-and micro-meter scales have been achieved by use of , etching [15,16], and dewetting processes [17,18]. These ordered 2D patterns on solid surfaces have already been used in practical applications as templates for constructing three-dimensional (3D) structures and substrates for the incubation of biological cells. 268j 6 Self-Organized Formation of Layered Nanostructures by Oscillatory Electrodeposition 274j 6 Self-Organized Formation of Layered Nanostructures by Oscillatory Electrodeposition

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“…We consider here the electrodeposition of zinc dendrites from zinc sulfate solutions without added electrolyte [27,28,40,42]. For high electric field and high zinc sulfate concentration, the growth velocity of the zinc metal oscillates periodically or chaotically in time after some induction regime, whose duration depends upon the zinc sulfate concentration, the current intensity and the zinc electrode initial surface itself.…”

Section: Qualitative Descriptionmentioning

confidence: 99%

“…Therefore, they fail to provide any direct insight into the dynamical properties of the growth process. Even though the geometrical 0167-2789/93/$ 06.00 (~) 1993-Elsevier Science Publishers B.V. All rights reserved structure of these fractal aggregates is somehow a footprint of their past evolution, the intricate coupling [17] between space and time which governs these growth processes requires that geometrical analysis be complemented by a dynamical study [27,28].…”

Section: Introductionmentioning

confidence: 99%

Experimental evidence for homoclinic chaos in an electrochemical growth process

Argoul

Huth

Merzeau

et al. 1993

Physica D: Nonlinear Phenomena

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Experimental investigations of galvanostatic electrochemical growth processes in steady thin layer electrolytes are reported. For some control parameter values, the measurement of the cell potential versus time provides periodic and aperiodic oscillations. The deterministic character of these potential signals is demonstrated using standard dynamical systems theory tools such as time-delay phase portrait reconstructions, Poincar6 maps and one-dimensional maps. A transient period-doubling transition is described. The homoclinic nature of the chaotic behavior is emphasized. The origin of the spatio-temporal behavior is discussed in terms of the competition between the electrochemical process (reduction of metallic ions) and the transport processes (migration, diffusion and convection). Analysis of video images shows that the oscillations in growth rate are in phase across the entire cell width (up to 40 mm) and are in phase with the oscillations in the cell potential.

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Experimental evidence for deterministic chaos in electrochemical deposition

Cited by 22 publications

References 55 publications

Density, fractal angle, and fractal dimension in linear Zn electrodeposition morphology

Density, fractal angle, and fractal dimension in linear Zn electrodeposition morphology

Self‐Organized Formation of Layered Nanostructures by Oscillatory Electrodeposition

Experimental evidence for homoclinic chaos in an electrochemical growth process

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