Algorithmic design of self-assembling structures.

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.

authors

Cohn H,Kumar A

doi

10.1073/pnas.0901636106

subject

Has Abstract

pub_date

2009-06-16 00:00:00

pages

9570-5

issue

24

eissn

0027-8424

issn

1091-6490

pii

106/24/9570

journal_volume

106

pub_type

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