期刊
SOFT MATTER
卷 7, 期 6, 页码 2332-2335出版社
ROYAL SOC CHEMISTRY
DOI: 10.1039/c0sm01205j
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资金
- Office of Basic Energy Sciences, U.S. Department of Energy [DE-FG02-04-ER46108]
- Natural Sciences and Engineering Research Council of Canada
We have previously used inverse statistical-mechanical methods to optimize isotropic pair interactions with multiple extrema to yield low-coordinated crystal classical ground states (e. g., honeycomb and diamond structures) in d-dimensional Euclidean space R-d. Here we demonstrate the counterintuitive result that no extrema are required to produce such low-coordinated classical ground states. Specifically, we show that monotonic convex pair potentials can be optimized to yield classical ground states that are the square and honeycomb crystals in R-2 over a non-zero number density range. Such interactions may be feasible to achieve experimentally using colloids and polymers.
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