电化学沉积中确定性混沌的实验证据

F. Argoul, A. Arneodo
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引用次数: 16

摘要

我们报告了锌在水介质中电沉积的静力学和动力学的实验研究,在枝晶和dla类金属团簇之间的中间状态。在生长过程中,在恒定的施加电流强度下,记录了电压的周期性和非周期性振荡。确定了倍周期分岔。对相图、庞加莱图和一维图的数据分析表明,这些电化学沉积物的分形几何特征是低维确定性混沌动力学的特征,对初始条件敏感。研究在DLA极限下明显更复杂的动力学记录是一个非常有前途的实验挑战,Nous提出了在水相二维环境中锌电沉积过程的实验结果。Les研究了中间介质、自然介质、自然介质、树突介质、自然介质、自然介质、自然介质、自然介质、自然介质、自然介质、自然介质、自然介质、自然介质、自然介质、自然介质、自然介质、自然介质、自然介质、自然介质、自然介质、自然介质、自然介质、分形介质、自然介质、自然介质、分形介质、自然介质、分形介质、模拟介质、自然介质、聚集介质、有限介质、扩散介质等(DLA模型)。动力学复合体的性质是一个初步的证据,实验的性质是混沌的,确定的性质是现象的,结构的,界面的,动力学的特征是一个自由的程度。“纬度动力学”的制度,再加上复合体的观察,和“极限”的DLA,是一个无挑战的实验,再加上推动者
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Experimental evidence for deterministic chaos in electrochemical deposition
We report an experimental study of the statics and dynamics of electrodeposition of zinc in an aqueous medium, in the intermediate regime between dendritic and DLA-like metallic clusters. During the growth process, periodic and nonperiodic oscillations of the voltage are recorded under constant applied current intensity. Period-doubling bifurcations are identified. Analysis of the data in terms of phase portraits, Poincare maps and 1-D maps shows that the fractal geometry of these electrochemical deposits is the signature of a low-dimensional deterministic chaotic dynamics which displays sensitivity to initial conditions. The study of the apparently more complex dynamics recorded in the DLA limit is a very promising experimental challenge Nous presentons ici les resultats d'une etude experimentale du processus d'electrodeposition de zinc en milieu aqueux bidimensionnel. Les regimes etudies sont intermediaires entre des croissances metalliques de nature dendritique et des croissances plus desordonnees similaires aux agregats fractals engendres par simulation numerique de modele d'agregation limitee par la diffusion de Witten et Sander (DLA model). L'etude de ces dynamiques complexes apporte une premiere evidence experimentale du caractere chaotique deterministe de ces phenomenes de structuration d'interface et la signature d'une dynamique a faible nombre de degres de liberte. L'etude dynamique de regimes encore plus complexes observes dans la limite DLA s'avere etre un challenge experimental des plus prometteurs
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