Entropy 2010, 12(1), 1-13; doi:10.3390/e12010001
Article

Lorenz Curves, Size Classification, and Dimensions of Bubble Size Distributions

Physikalische Chemie, Fritz-Haber-Institut der Max-Planck-Gesellschaft, Faradayweg 12, D-14195 Berlin, Germany
Received: 13 October 2009; Accepted: 11 December 2009 / Published: 25 December 2009
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Abstract: Lorenz curves of bubble size distributions and their Gini coefficients characterize demixing processes. Through a systematic size classification, bubble size histograms are generated and investigated concerning their statistical entropy. It turns out that the temporal development of the entropy is preserved although characteristics of the histograms like number of size classes and modality are remarkably reduced. Examinations by Rényi dimensions show that the bubble size distributions are multifractal and provide information about the underlying structures like self-similarity.
Keywords: Lorenz curve; Gini coefficient; bin width selection; Rényi dimensions; bubble size distributions

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MDPI and ACS Style

Sauerbrei, S. Lorenz Curves, Size Classification, and Dimensions of Bubble Size Distributions. Entropy 2010, 12, 1-13.

AMA Style

Sauerbrei S. Lorenz Curves, Size Classification, and Dimensions of Bubble Size Distributions. Entropy. 2010; 12(1):1-13.

Chicago/Turabian Style

Sauerbrei, Sonja. 2010. "Lorenz Curves, Size Classification, and Dimensions of Bubble Size Distributions." Entropy 12, no. 1: 1-13.

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