Capillarity vector

The capillarity vector and the weighted mean curvature are discussed in more detail in Section C.3.2. 

C(n) is related to v(h) in the same way that the capillarity vector, , is related to 7(ri) and is constructed in the same way. The Wulff construction applied to v(n) produces the asymptotic growth shape. This and other relations between the Wulff construction and the common-tangent construction for phase equilibria are discussed by Cahn and Carter [16]. 

Another useful construct in the treatment of anisotropic interfaces is the capillarity vector, (n) [13]. This vector has the properties... 

The capillarity vector, (n), plays the same role as the interfacial energy multiplied by h [i.e., 7(n)n]. Just as the mean curvature was related to derivatives on the vector... 

This extension to all of space is used in the derivation of the Cahn-Hoffman -vectors—a convenient way to study capillarity when the interfacial energy depends on the inclination, n [7, 10]. 

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