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Multifractal detrended fluctuation analysis of intensity time series of photons scattered by tracer particles within a polymeric gel

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  • Telesca, Luciano
  • Haro-Pérez, Catalina
  • Moreno-Torres, L. Rebeca
  • Ramirez-Rojas, Alejandro

Abstract

Some properties of spatial confinement of tracer colloidal particles within polyacrylamide dispersions are studied by means of the well-known dynamic light scattering (DLS) technique. DLS allows obtaining sequences of elapsed times of scattered photons. In this work, the aqueous polyacrylamide dispersion has no crosslinking and the volume fraction occupied by the tracer particles is 0.02 %. Our experimental setup provides two sequences of photons scattered by the same scattering volume that corresponds to two simultaneous experiments (Channel A and Channel B). By integration of these sequences, the intensity time series are obtained. We find that both channels are antipersistent with Hurst exponent, H∼0.43 and 0.36, respectively. The antipersistence of the intensity time series indicates a subdiffusive dynamics of the tracers in the polymeric network, which is in agreement with the time dependence of the tracer’s mean square displacement.

Suggested Citation

  • Telesca, Luciano & Haro-Pérez, Catalina & Moreno-Torres, L. Rebeca & Ramirez-Rojas, Alejandro, 2018. "Multifractal detrended fluctuation analysis of intensity time series of photons scattered by tracer particles within a polymeric gel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 994-1003.
    • Handle: RePEc:eee:phsmap:v:490:y:2018:i:c:p:994-1003
    DOI: 10.1016/j.physa.2017.08.080
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    References listed on IDEAS

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    1. 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.
    2. Juan Luis Lopez & Jesus Guillermo Contreras, 2013. "Performance of multifractal detrended fluctuation analysis on short time series," Papers 1311.2278, arXiv.org.
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