Algorithmic design of self-assembling structures.
basic_science · Level V
Where this comes from
- Record sourced from PubMed, PMID 19541660.
- Also identified by DOI 10.1073/pnas.0901636106 and PMC identifier 2701027.
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Abstract
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.