Journal article ยท Preprint article
Algorithmic design of self-assembling structures
Microsoft Research New England, One Memorial Drive, Cambridge, MA 02142, USA. cohn@microsoft.com1
We study inverse statistical mechanics: how can one design a potential function so as to produce a specified ground state? In this article, we show that unexpectedly simple potential functions suffice for certain symmetrical configurations, and we apply techniques from coding and information theory to provide mathematical proof that the ground state has been achieved.
These potential functions are required to be decreasing and convex, which rules out the use of potential wells. Furthermore, we give an algorithm for constructing a potential function with a desired ground state.
Language: | English |
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Publisher: | National Academy of Sciences |
Year: | 2009 |
Pages: | 9570-5 |
ISSN: | 10916490 and 00278424 |
Types: | Journal article and Preprint article |
DOI: | 10.1073/pnas.0901636106 |