Algorithmic design of self-assembling structures Export

@article{citeulike:4887963, abstract = {10.1073/pnas.0901636106 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.}, author = {Cohn, Henry and Kumar, Abhinav}, booktitle = {Proceedings of the National Academy of Sciences}, citeulike-article-id = {4887963}, citeulike-linkout-0 = {http://dx.doi.org/10.1073/pnas.0901636106}, citeulike-linkout-1 = {http://www.pnas.org/content/106/24/9570.short.abstract}, citeulike-linkout-2 = {http://www.pnas.org/content/106/24/9570.short.full.pdf}, citeulike-linkout-3 = {http://view.ncbi.nlm.nih.gov/pubmed/19541660}, citeulike-linkout-4 = {http://www.hubmed.org/display.cgi?uids=19541660}, day = {16}, doi = {10.1073/pnas.0901636106}, journal = {Proceedings of the National Academy of Sciences}, keywords = {potentials, self-assembling}, month = {June}, number = {24}, pages = {9570--9575}, posted-at = {2009-07-07 18:54:43}, priority = {2}, title = {Algorithmic design of self-assembling structures}, url = {http://dx.doi.org/10.1073/pnas.0901636106}, volume = {106}, year = {2009} }

TY - JOUR ID - citeulike:4887963 L3 - citeulike-article-id:4887963 N2 - 10.1073/pnas.0901636106 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. IS - 24 JF - Proceedings of the National Academy of Sciences EP - 9575 TI - Algorithmic design of self-assembling structures VL - 106 T2 - Proceedings of the National Academy of Sciences SP - 9570 KW - potentials KW - self-assembling AU - Cohn, Henry AU - Kumar, Abhinav PY - 2009/06/16/ UR - http://dx.doi.org/10.1073/pnas.0901636106 ER -