Curvature-driven Foam Coarsening on a Sphere: A Computer Simulation

Authors

Shawn D. Ryan, Cleveland State UniversityFollow
Xiaoyu Zheng, Kent State University
Peter Palffy-Muhoray, Kent State University

ORCID ID

Ryan, Shawn/0000-0003-2468-1827

Document Type

Article

Publication Date

2016

Publication Title

Physical Review E

Abstract

The von Neumann-Mullins law for the area evolution of a cell in the plane describes how a dry foam coarsens in time. Recent theory and experiment suggest that the dynamics are different on the surface of a three-dimensional object such as a sphere. This work considers the dynamics of dry foams on the surface of a sphere. Starting from first principles, we use computer simulation to show that curvature-driven motion of the cell boundaries leads to exponential growth and decay of the areas of cells, in contrast to the planar case where the growth is linear. We describe the evolution and distribution of cells to the final stationary state.

Comments

The work of all the authors was supported by NSF Grant DMS-1212046.

Repository Citation

Ryan, Shawn D.; Zheng, Xiaoyu; and Palffy-Muhoray, Peter, "Curvature-driven Foam Coarsening on a Sphere: A Computer Simulation" (2016). Mathematics and Statistics Faculty Publications. 299.
https://engagedscholarship.csuohio.edu/scimath_facpub/299

DOI

10.1103/PhysRevE.93.053301

Version

Publisher's PDF

Volume

93