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Long-range correlation analysis among non-stationary passive scalar series in the turbulent boundary layer

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  • Dongwei, Chen
  • Fei, Hu
  • Jingjing, Xu
  • lei, Liu

Abstract

In this paper, we investigated the cross correlations among non-stationary passive scalars series. Based on the detrended cross correlation analysis (DCCA), we found that there existed long-range cross correlations among these series. The DCCA exponents for each pair of passive scalars are all greater than 0.5. This implies that the cross correlation is persistent. Moreover, the degree of cross correlation between H2O and PM2.5 is greater compared to CO2 and PM2.5 as well as CO2 and H2O. The same analysis is also performed on randomly shuffled series. The calculated DCCA exponents fluctuate slightly over 0.5, which verifies that there indeed exist cross correlations among original series.

Suggested Citation

  • Dongwei, Chen & Fei, Hu & Jingjing, Xu & lei, Liu, 2019. "Long-range correlation analysis among non-stationary passive scalar series in the turbulent boundary layer," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 290-296.
    • Handle: RePEc:eee:phsmap:v:517:y:2019:i:c:p:290-296
    DOI: 10.1016/j.physa.2018.09.094
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    References listed on IDEAS

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    1. Marinho, E.B.S. & Sousa, A.M.Y.R. & Andrade, R.F.S., 2013. "Using Detrended Cross-Correlation Analysis in geophysical data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 2195-2201.
    2. de Oliveira Santos, Maíra & Stosic, Tatijana & Stosic, Borko D., 2012. "Long-term correlations in hourly wind speed records in Pernambuco, Brazil," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1546-1552.
    3. Ikeda, Taro, 2017. "A detrended cross correlation analysis for stock markets of the United States, Japan, and the Europe," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 484(C), pages 194-198.
    4. B. Podobnik & I. Grosse & D. Horvatić & S. Ilic & P. Ch. Ivanov & H. E. Stanley, 2009. "Quantifying cross-correlations using local and global detrending approaches," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 71(2), pages 243-250, September.
    5. Gvozdanovic, Igor & Podobnik, Boris & Wang, Duan & Eugene Stanley, H., 2012. "1/f behavior in cross-correlations between absolute returns in a US market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(9), pages 2860-2866.
    6. Pal, Debdatta & Mitra, Subrata K., 2018. "Interdependence between crude oil and world food prices: A detrended cross correlation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 1032-1044.
    7. Xi-Yuan Qian & Ya-Min Liu & Zhi-Qiang Jiang & Boris Podobnik & Wei-Xing Zhou & H. Eugene Stanley, 2015. "Detrended partial cross-correlation analysis of two nonstationary time series influenced by common external forces," Papers 1504.02435, arXiv.org, revised Apr 2015.
    Full references (including those not matched with items on IDEAS)

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