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

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 p...

Full description

Bibliographic Details
Main Author: Sonja Sauerbrei
Format: Article
Language:English
Published: MDPI AG 2009-12-01
Series:Entropy
Subjects:
Online Access:http://www.mdpi.com/1099-4300/12/1/1/
Description
Summary: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.
ISSN:1099-4300