BROWSE

Related Scientist

Researcher

Alexey Andreanov
복잡계 이론물리 연구단
more info

Extreme lattices: symmetries and decorrelation

Cited 1 time in webofscience Cited 0 time in scopus
360 Viewed 30 Downloaded
Title
Extreme lattices: symmetries and decorrelation
Author(s)
A Andreanov; A Scardicchio; S Torquato
Publication Date
2016-11
Journal
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, v.2016, no., 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
ISSN
1742-5468
Appears in Collections:
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > Journal Papers (저널논문)
Files in This Item:
Extreme lattices_symmetries and decorrelation.pdfDownload

qrcode

  • facebook

    twitter

  • Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
해당 아이템을 이메일로 공유하기 원하시면 인증을 거치시기 바랍니다.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse