Abstract For the first time, we perform comprehensive statistical and Fourier analysis (both spatial and temporal) of the vortex dynamics of fluids near a magnetized ferromagnetic surface under electrochemical etching and effect of an external magnetic field resulting in autocatalytic formation of spatiotemporal vortex structures. The used experimental technique allows avoiding any distortions in the nature of the reaction. By using the proposed methods of analysis, we obtain integral and time dependences of the frequency distributions of the motion of fluids over the volume of the medium under investigation. As a result of the statistical analysis, the areas with the most intense motion of reaction products are detected. We perform the analysis of the dynamics of these areas during the electrochemical reaction. By means of 1D and 2D Fourier transforms, we determine the characteristic time, spatial frequencies and the characteristic sizes of the optical inhomogeneities that occur during the electrochemical reaction.

中文翻译：

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外磁场中流体涡动力学的统计和傅立叶分析

摘要 我们第一次对磁化铁磁表面附近流体在电化学蚀刻和外部磁场作用下的涡流动力学进行全面的统计和傅立叶分析（空间和时间），从而导致时空涡流结构的自催化形成。所使用的实验技术可以避免反应性质的任何扭曲。通过使用建议的分析方法，我们获得了流体运动在所研究介质体积上的频率分布的积分和时间相关性。作为统计分析的结果，检测到反应产物运动最强烈的区域。我们在电化学反应过程中对这些区域的动力学进行了分析。