Foam Decay with Incomparable Lorenz Curves

Abstract

The decay of beer foam is recorded by evaluating pictures, measuring the bubble sizes. We use Lorenz curves in order to avoid the problem of bubble size classification, which is naturally connected with the estimation of a classical distribution function. It turns out that consecutive Lorenz curves intersect which each other. The intersection of Lorenz curves is directly connected with Ruch’s idea of incomparable diagrams in the lattices of partitions. This observation suggests the existence of different, incomparable structures in decaying foam