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We have performed Surface Evolver simulations of two-dimensional hexagonal bubble clusters consisting of a central bubble of area λ surrounded by s shells or layers of bubbles of unit area. Clusters of up to twenty layers have been simulated, with λ varying between 0.01 and 100. In monodisperse clusters (i.e., for λ=1) [M.A. Fortes, F. Morgan, M. Fátima Vaz, Philos. Mag. Lett. 87 (2007) 561] both...
We assess the stability of simple two-dimensional clusters of bubbles relative to small displacements of the vertices, at fixed bubble areas. The clusters analysed are: (1) flower clusters consisting of a central bubble of area λ surrounded by N shells each containing n bubbles of unit area, (2) periodic chain clusters consisting of N “parallel” rows of n bubbles of unit area and width w. The energy...
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