Scaling state in froths deduced from a corrected von Neumann's law

Abstract

A corrected and generalized von Neumann's law is proposed, so that its statistical consequences agree with all experiments reported in the literature. It is shown that a froth's scaling state, concerning the surface area distribution, may be deduced from the stochastical independence between the number of sides distribution and the bubbles' surface area, and on the simple change of von Neumann's law from dA/ dt = k( n − 6) to dA/ dt = kA( n − 6).