Journal
SOFT MATTER
Volume 8, Issue 33, Pages 8624-8635Publisher
ROYAL SOC CHEMISTRY
DOI: 10.1039/c2sm26038g
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Funding
- Center for Nanoscale Control of Geologic CO2
- U.S. D.O.E. Energy Frontier Research Center [DE-AC02-05CH11231]
- Molecular Foundry, Lawrence Berkeley National Laboratory [DE-AC02-05CH11231]
- Office of Science of the U.S. Department of Energy [DE-AC02-05CH11231]
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Motivated by the question of how to pattern a surface in order to best speed nucleation from solution, we build on the work of Page and Sear [Phys. Rev. Lett., 2006, 97, 65701] and calculate rates and free energy profiles for nucleation in the 3d Ising model in the presence of cuboidal pores. Pores of well-chosen aspect ratio can dramatically speed nucleation relative to a planar surface made of the same material, while badly chosen pores provide no such enhancement. For a given pore, the maximum nucleation rate is achieved when one of its two horizontal dimensions attains a critical length, largely irrespective of the other dimension (provided that the latter is large enough). This observation implies that patterning a surface with repeated copies of a well-chosen pore is a better strategy for speeding nucleation than e.g. scoring long grooves in it.
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