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Abstract:
This paper represents an overview of our research on the decay of foams. Particularly, the statistics of bubble size distributions is the main topic of the discussion.
To understand in detail our results the reader is kindly advised to take note of our former papers: The Apollonian Decay of Beer Foam – Bubble Size Distribution and the Lattices of Young Diagrams and their Correlated Mixing Functions [11], On the Characterization of Foam Decay with Diagram Lattices and Majorization [12], Diffusion without Constraints [13], and Weak Majorization as an Approach to non-Equilibrium Foam Decay [14].
It is our opinion that due to the fact foams become more and more important referring to new materials, foods, and cosmetics, the study of the dynamics of wet decaying foams leads to a fundamental understanding of this interesting complex system that seems to consist of irregularly behaving bubbles.
One of our main emphases is put on the description of bubble size distributions by means of order structure (majorization). This mathematical concept leads to the discussion of significance of normalizing. Does it make sense to normalize a system that is characterized by a loss of bubbles? Or does normalizing lead to other important results? Perhaps, both variants are necessary to obtain different statements on foam decay.
