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

Nicholas Guttenberg, Nigel Goldenfeld, and Jonathan Dantzig
Phys. Rev. E 81, 065301(R) – Published 9 June 2010

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.

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  • Received 24 February 2010

DOI:https://doi.org/10.1103/PhysRevE.81.065301

©2010 American Physical Society

Authors & Affiliations

Nicholas Guttenberg1, Nigel Goldenfeld1, and Jonathan Dantzig2

  • 1Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080, USA
  • 2Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, 1206 West Green Street, Urbana, Illinois 61801-3080, USA

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Issue

Vol. 81, Iss. 6 — June 2010

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