Selection mechanism and area distribution in two-dimensional cellular structures

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Abstract
Evolving random cellular structures are observed to reach a universal scaling regime. A mean-field approach to finding fixed-point distributions in cell-side number is extended to distributions for the average area of cells with a given number of sides. This approach leads to simplified equations that can be analyzed analytically and numerically. The theory’s results are compared to experimental results on dynamics and distributions in soap froths and good agreement is achieved.