Bubble size-topology correlations in two-dimensional foams derived from surface energy minimization

We. obtain the number fractions x(i) the average areas <A>(i) and them average perimeters <P>(i) of i- sided bubbles in a two-dimensional foam by minimizing the total surface energy and assuming a simple relation between <P>(i) and <rootA>(i). Calculations for linear and Weibull distributions of the square root of the bubble area yield large deviations, particularly at small i, from Lewis's and Desch's laws, which linearly relate <A>(i) and <P>(i), respectively, to i. Nevertheless, we find good agreement with experimental results for x(i), <P>(i) and <A>(i) in foams.