title: Emergence of foams from the breakdown of the phase field crystal model.
abstract: The phase field crystal (PFC) model captures the elastic and topological properties of crystals with a single scalar field at small undercooling. At large undercooling, new foamlike behavior emerges. We characterize this foam phase of the PFC equation and propose a modified PFC equation that may be used for the simulation of foam dynamics. This minimal model reproduces von Neumann's rule for two-dimensional dry foams and Lifshitz-Slyozov coarsening for wet foams. We also measure the coordination number distribution and find that its second moment is larger than previously reported experimental and theoretical studies of soap froths, a finding that we attribute to the wetness of the foam increasing with time.
authors.affiliation: Department of Physics, University of Illinois at Urbana-Champaign, Urbana, Illinois 61801-3080, USA.
authors.forename: Nicholas
authors.initials: N
authors.lastname: Guttenberg
authors.forename: Nigel
authors.initials: N
authors.lastname: Goldenfeld
authors.forename: Jonathan
authors.initials: J
authors.lastname: Dantzig