Voronoi foams

C. Moukarzel

Physica A: Statistical Mechanics and its Applications, 1993, vol. 199, issue 1, 19-30

Abstract: The Voronoi partition is generalized introducing a site-dependent multiplicative constant in the definition of distance. This allows the description of foams because the interfaces are now circle arcs (in two dimensions) instead of straight lines as in usual Voronoi partitions. A property of this construction is that the centers of the three circle arcs converging to a vertex are aligned. We show that this property is also satisfied in an equilibrated foam. The equilibrium conditions (under the fast dynamics) fix the values of the ai's in terms of the distances among points. We find that not all equilibrated foams can be described with this construction, but only a subset of them.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:199:y:1993:i:1:p:19-30

DOI: 10.1016/0378-4371(93)90093-J

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