%0 Book Section %1 statphys23_0517 %A Eloranta, K. %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 archimedean core dense hard model packing statphys23 tiling topic-2 %T Dense packing on uniform lattices %U http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=517 %X We study the Hard Core Model on the graphs obtained from Archimedean tilings. Our particular aim in choosing these graphs is to obtain insight to the geometry of the densest packings in a uniform discrete set-up. We establish density bounds, optimal configurations reaching them in most cases, and introduce a probabilistic cellular automaton that generates the legal configurations. Its rule involves a parameter which can be naturally characterised as packing pressure. It can have a critical value but from packing point of view just as interesting are the noncritical cases. These phenomena are related to the exponential size of the set of densest packings and more specifically whether these packings are maximally symmetric, simple laminated or essentially random packings.

@incollection{statphys23_0517, abstract = {We study the Hard Core Model on the graphs obtained from Archimedean tilings. Our particular aim in choosing these graphs is to obtain insight to the geometry of the densest packings in a uniform discrete set-up. We establish density bounds, optimal configurations reaching them in most cases, and introduce a probabilistic cellular automaton that generates the legal configurations. Its rule involves a parameter which can be naturally characterised as packing pressure. It can have a critical value but from packing point of view just as interesting are the noncritical cases. These phenomena are related to the exponential size of the set of densest packings and more specifically whether these packings are maximally symmetric, simple laminated or essentially random packings.}, added-at = {2007-06-20T10:16:09.000+0200}, address = {Genova, Italy}, author = {Eloranta, K.}, biburl = {https://www.bibsonomy.org/bibtex/28373fd020052599737a1ef0820318d59/statphys23}, booktitle = {Abstract Book of the XXIII IUPAP International Conference on Statistical Physics}, editor = {Pietronero, Luciano and Loreto, Vittorio and Zapperi, Stefano}, interhash = {499c19a4666a5c85460b54be903b3ae8}, intrahash = {8373fd020052599737a1ef0820318d59}, keywords = {archimedean core dense hard model packing statphys23 tiling topic-2}, month = {9-13 July}, timestamp = {2007-06-20T10:16:22.000+0200}, title = {Dense packing on uniform lattices}, url = {http://st23.statphys23.org/webservices/abstract/preview_pop.php?ID_PAPER=517}, year = 2007 }