Minimal Energy Clusters of Hard Spheres with Short Range Attractions

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Minimal Energy Clusters of Hard Spheres with Short Range Attractions

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Title: Minimal Energy Clusters of Hard Spheres with Short Range Attractions
Author: Arkus, Natalie; Manoharan, Vinothan N.; Brenner, Michael P.

Note: Order does not necessarily reflect citation order of authors.

Citation: Arkus, Natalie, Vinothan N. Manoharan, Michael P. Brenner. 2009. Minimal energy clusters of hard spheres with short range attractions. Physical Review Letters 103(11): 118303.
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Abstract: We calculate the ground states of hard-sphere clusters, in which n identical hard spherical particles bind by isotropic short-ranged attraction. Combining graph theoretic enumeration with basic geometry, we analytically solve for clusters of n<or=10 particles satisfying minimal rigidity constraints. For n<or=9 the ground state degeneracy increases exponentially with n, but for n>9 the degeneracy decreases due to the formation of structures with >3n-6 contacts. Interestingly, for n=10 and possibly at n=11 and n=12, the ground states of this system are subsets of hexagonal close-packed crystals. The ground states are not icosahedra at n=12 and n=13. We relate our results to the structure and thermodynamics of suspensions of colloidal particles with short-ranged attractions.
Published Version: http://dx.doi.org/10.1103/PhysRevLett.103.118303
Other Sources: https://www.seas.harvard.edu/brenner/Publications_files/packings_paper_8_23_09.pdf
Terms of Use: This article is made available under the terms and conditions applicable to Other Posted Material, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAA
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:3443104
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