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Motivated by the question of how to pattern a surface in order to best speednucleation from solution, we build on the work of Page and Sear [Phys. Rev.Lett. 97, 65701 (2006)] and calculate rates and free energy profiles fornucleation in the 3d Ising model in the presence of cuboidal pores. Pores ofwell-chosen aspect ratio can dramatically speed nucleation relative to a planarsurface made of the same material, while badly-chosen pores provide no suchenhancement. For a given pore, the maximum nucleation rate is achieved when oneof its two horizontal dimensions attains a critical length, largelyirrespective of the other dimension (provided that the latter is large enough).This observation implies that patterning a surface in a raster-like fashion isa better strategy for speeding nucleation than e.g. scoring long grooves in it.

Patterning a surface so as to speed nucleation from solution