%0 Book Section %1 statphys23_1012 %A Tindemans, S.H. %A Mulder, B.M. %B Abstract Book of the XXIII IUPAP International Conference on Statistical Physics %C Genova, Italy %D 2007 %E Pietronero, Luciano %E Loreto, Vittorio %E Zapperi, Stefano %K coated colloids crystal design dna statphys23 structures topic-7 %T Love thy neighbor: Designing ground states using short-range isotropic interactions %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1012 %X In recent years, the self-assembly of complex materials has been the focus of much research. An example of a promising model system in this field, both from a theoretical and an experimental perspective, consists of beads that are coated with DNA that has single-stranded 'sticky ends'. By changing the properties (sequence of the sticky end, length and surface coverage) of the DNA on each type of bead, one can in principle effectively and selectively tune the interactions between the different types of particles. These systems can be classified as multi-component mixtures of particles interacting through finite-ranged isotropic potentials. We address the fundamental question whether arbitrarily complex periodic structures can be self-assembled by the constituent particles in such a system, if the interactions are suitably chosen. We have studied this question for the ground state of two-dimensional lattice models for multi-species mixtures of particles. For this class of models, we show that the answer is affirmative when the interaction range extends only slightly beyond the nearest neighbors. For both square and triangular two-dimensional lattices, we present a simple algorithm to construct such a unique ground state. In addition, we present initial Monte Carlo simulation data that explore the thermal stability of such configurations. Finally, we address the issue of the optimality of this design, by considering the removal of redundancy in the number of species, through the consideration of the topologically inequivalent classes of minimal tilings of the lattices in question.

@incollection{statphys23_1012, abstract = {In recent years, the self-assembly of complex materials has been the focus of much research. An example of a promising model system in this field, both from a theoretical and an experimental perspective, consists of beads that are coated with DNA that has single-stranded 'sticky ends'. By changing the properties (sequence of the sticky end, length and surface coverage) of the DNA on each type of bead, one can in principle effectively and selectively tune the interactions between the different types of particles. These systems can be classified as multi-component mixtures of particles interacting through finite-ranged isotropic potentials. We address the fundamental question whether arbitrarily complex periodic structures can be self-assembled by the constituent particles in such a system, if the interactions are suitably chosen. We have studied this question for the ground state of two-dimensional lattice models for multi-species mixtures of particles. For this class of models, we show that the answer is affirmative when the interaction range extends only slightly beyond the nearest neighbors. For both square and triangular two-dimensional lattices, we present a simple algorithm to construct such a unique ground state. In addition, we present initial Monte Carlo simulation data that explore the thermal stability of such configurations. Finally, we address the issue of the optimality of this design, by considering the removal of redundancy in the number of species, through the consideration of the topologically inequivalent classes of minimal tilings of the lattices in question.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Tindemans, S.H. and Mulder, B.M.}, biburl = {https://www.bibsonomy.org/bibtex/20ebfa909b2b08d09190b0329f6197590/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {55b9669c9233be9b6e2e6fe7920b47ae}, intrahash = {0ebfa909b2b08d09190b0329f6197590}, keywords = {coated colloids crystal design dna statphys23 structures topic-7}, month = {9-13 July}, timestamp = {2007-06-20T10:16:36.000+0200}, title = {Love thy neighbor: Designing ground states using short-range isotropic interactions}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=1012}, year = 2007 }