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2D-DFA as a tool for non-destructive characterisation of copper surface exposed to substitute ocean water

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  • López, J.L.
  • Veleva, L.

Abstract

Two-dimensional detrended fluctuation (2D-DFA) analysis has been carried out to correlate the Hurst index surface (h) with corresponding irregularities of the cooper surface, because of the localised corrosion attacks after exposure in substitute ocean water for a period of three months. The 2D-DFA was applied on SEM images, in order to calculate the Hurst index surface (h) and analyse the fractal properties of the copper surface. The Hurst index h was linked with the fractal dimension (DF). The results showed the existence of two surface range scales s-sizes, where the fluctuation function F2(s) for copper corroded surface exhibits power law behaviour, which is compatible with fractal properties. The calculated values of Hurst index surface (h) are compatible with persistent processes of corrosion attacks. The results suggest that the surface morphology of the formed layer changes because of the metal grain transition from more ordered arrangement to a highly random (disordered) grain array.

Suggested Citation

  • López, J.L. & Veleva, L., 2022. "2D-DFA as a tool for non-destructive characterisation of copper surface exposed to substitute ocean water," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 586(C).
    • Handle: RePEc:eee:phsmap:v:586:y:2022:i:c:s0378437121007639
    DOI: 10.1016/j.physa.2021.126490
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    References listed on IDEAS

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    1. Alvarez-Ramirez, Jose & Rodriguez, Eduardo & Cervantes, Ilse & Carlos Echeverria, Juan, 2006. "Scaling properties of image textures: A detrending fluctuation analysis approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(2), pages 677-698.
    2. Mahjani, Mohamad Ghassem & Moshrefi, Reza & Sharifi-Viand, Ahmad & Taherzad, Ahad & Jafarian, Majid & Hasanlou, Fatemeh & Hosseini, Maryam, 2016. "Surface investigation by electrochemical methods and application of chaos theory and fractal geometry," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 598-603.
    3. Mariani, M.C. & Florescu, I. & Beccar Varela, M.P. & Ncheuguim, E., 2010. "Study of memory effects in international market indices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1653-1664.
    4. Stanislaw Drozdz & Jaroslaw Kwapien & Pawel Oswiecimka & Rafal Rak, 2009. "Quantitative features of multifractal subtleties in time series," Papers 0907.2866, arXiv.org, revised Feb 2010.
    5. Alvarez-Ramirez, Jose & Echeverria, Juan C. & Rodriguez, Eduardo, 2008. "Performance of a high-dimensional R/S method for Hurst exponent estimation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(26), pages 6452-6462.
    6. Telesca, Luciano & Lasaponara, Rosa, 2006. "Vegetational patterns in burned and unburned areas investigated by using the detrended fluctuation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(2), pages 531-535.
    7. Oliveira Filho, F.M. & Leyva Cruz, J.A. & Zebende, G.F., 2019. "Analysis of the EEG bio-signals during the reading task by DFA method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 664-671.
    8. Kantelhardt, Jan W. & Zschiegner, Stephan A. & Koscielny-Bunde, Eva & Havlin, Shlomo & Bunde, Armin & Stanley, H.Eugene, 2002. "Multifractal detrended fluctuation analysis of nonstationary time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 87-114.
    9. Juan Luis Lopez & Jesus Guillermo Contreras, 2013. "Performance of multifractal detrended fluctuation analysis on short time series," Papers 1311.2278, arXiv.org.
    10. Sadegh Movahed, M. & Hermanis, Evalds, 2008. "Fractal analysis of river flow fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(4), pages 915-932.
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    Cited by:

    1. Alina Bărbulescu & Cristian Ștefan Dumitriu, 2023. "Fractal Characterization of Brass Corrosion in Cavitation Field in Seawater," Sustainability, MDPI, vol. 15(4), pages 1-14, February.

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