Wulff Shape

An equilibrium minimal surface for a crystal or drop which has the least anisotropic surface free energy for a given volume. It is the anisotropic analog of a sphere. In the case of a sessile drop, the Wulff shapes becomes the Winterbottom shape (Dunlop and Magnen 1999, p. 31).

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Dunlop, F. and Magnen, J. "A Wulff Shape from Constructive Field Theory." In Mathematical Results in Statistical Mechanics, Marseilles, France, July 27-31 1998 (Ed. S. Miracle-Solé, J. Ruis, and V. Zagrebnov). Singapore: World Scientific, pp. 31-52, 1999.Winterbottom, W. L. "Equilibrium Shape of a Small Particle in Contact with a Foreign Substrate." Acta Metal. 15, 303-310, 1967.Wulff, G. "Zur Frage der Geschwindigkeit des Wachstums und der Auflösung der Krystallflagen." Z. Kryst. Mineral. 34, 449, 1901.

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Wulff Shape

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Weisstein, Eric W. "Wulff Shape." From MathWorld--A Wolfram Web Resource.

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