Mean Field Theory of Foam Aging

We describe our work on the geometrical properties of a random foam as a function of the number of faces, based on Isotropic Plateau Polyhedra [1,2].~ Analytic values of specific area, the stretching moment, and curvature can be obtained for these geometrical constructs.~ The expression for curvature is a ratio of the volume to the area of the foam cell.~ Focusing on this quantity will allow a better description of the coarsening of a foam.~ Conclusions from this mean field study will be discussed. [1] Glicksman M., \textit{Phil. Mag.,} \textbf{85 }(2005) 3. [2] Hilgenfeldt S., Kraynik A., Reinelt D., and Sullivan J. \textit{Europhys. Lett}. \textbf{67} (2004) 484.