Emergence of foams from the breakdown of the phase field crystal model

Details Emergence of foams from the breakdown of the phase field crystal model Emergence of foams from the breakdown of the phase field crystal model

2010-03-11

arxiv.org/abs/1003.2371v1

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 4 figures

Scientific paper

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 foam-like 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.

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