TY - JOUR
T1 - Large two-dimensional clusters of equal-area bubbles
T2 - The influence of the boundary in determining the minimum-energy configuration
AU - Cox, S. J.
AU - Graner, F.
N1 - Funding Information:
We thank Professor K. Brakke for his prompt and helpful responses and Professor F. Morgan for his support. This work benefited from a stay at the Isaac Newton Institute in Cambridge and financial support from the Ulysses France– Ireland exch ange sch eme.
Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2003/8/1
Y1 - 2003/8/1
N2 - Finite monodisperse two-dimensional clusters of bubbles are shown to behave like a crystal rather than a liquid. They attain their lowest-energy configuration when they find an arrangement close to a hexagonal lattice, as predicted by the Wulff construction. The deviation from hexagonal shape of the bubbles in a cluster and the variation in bubble pressure throughout the structure are calculated. It is shown that the effect of reducing the length of the boundary is negligible, explaining why configurations retaining the structure of the lattice will give the lowest energy.
AB - Finite monodisperse two-dimensional clusters of bubbles are shown to behave like a crystal rather than a liquid. They attain their lowest-energy configuration when they find an arrangement close to a hexagonal lattice, as predicted by the Wulff construction. The deviation from hexagonal shape of the bubbles in a cluster and the variation in bubble pressure throughout the structure are calculated. It is shown that the effect of reducing the length of the boundary is negligible, explaining why configurations retaining the structure of the lattice will give the lowest energy.
UR - http://www.scopus.com/inward/record.url?scp=0242271440&partnerID=8YFLogxK
U2 - 10.1080/1478643031000118003
DO - 10.1080/1478643031000118003
M3 - Article
AN - SCOPUS:0242271440
SN - 1478-6435
VL - 83
SP - 2573
EP - 2584
JO - Philosophical Magazine
JF - Philosophical Magazine
IS - 22
ER -