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Extreme lattices: symmetries and decorrelation

Cited 4 time in webofscience Cited 3 time in scopus
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Title
Extreme lattices: symmetries and decorrelation
Author(s)
A Andreanov; A Scardicchio; S Torquato
Subject
Energy landscapes, Structural correlations, Spin glasses, Random/ordered microstructures
Publication Date
2016-11
Journal
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, v.2016, pp.113301
Publisher
IOP PUBLISHING LTD
Abstract
We study statistical and structural properties of extreme lattices, which are the local minima in the density landscape of lattice sphere packings in d-dimensional Euclidean space Rd. Specifically, we ascertain statistics of the densities and kissing numbers as well as the numbers of distinct symmetries of the packings for dimensions 8 through 13 using the stochastic Voronoi algorithm. The extreme lattices in a fixed dimension of space d (d 8) are dominated by typical lattices that have similar packing properties, such as packing densities and kissing numbers, while the best and the worst packers are in the long tails of the distribution of the extreme lattices. We also study the validity of the recently proposed decorrelation principle, which has important implications for sphere packings in general. The degree to which extreme-lattice packings decorrelate as well as how decorrelation is related to the packing density and symmetry of the lattices as the space dimension increases is also investigated. © 2016 IOP Publishing Ltd and SISSA Medialab srl
URI
https://pr.ibs.re.kr/handle/8788114/3039
DOI
10.1088/1742-5468/2016/11/113301
ISSN
1742-5468
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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