1. ZHAW digitalcollection
  2. School of Engineering
  3. Publikationen
  4. Publikationen School of Engineering
Full metadata record
DC FieldValueLanguage
dc.contributor.authorSchneider, Johannes Josef-
dc.contributor.authorBarrow, David Anthony-
dc.contributor.authorLi, Jin-
dc.contributor.authorWeyland, Mathias-
dc.contributor.authorFlumini, Dandolo-
dc.contributor.authorEggenberger Hotz, Peter-
dc.contributor.authorFüchslin, Rudolf Marcel-
dc.date.accessioned2024-03-22T09:39:53Z-
dc.date.available2024-03-22T09:39:53Z-
dc.date.issued2023-08-07-
dc.identifier.urihttps://digitalcollection.zhaw.ch/handle/11475/30319-
dc.description.abstractIn the so-called kissing number problem, the question of the maximum number of spheres of the same size that can touch a sphere in their midst without overlaps is investigated. While in one and two dimensions the kissing numbers can be easily determined as 2 and 6, respectively, the dispute between Isaac Newton and David Gregory from 1694 whether the kissing number in three dimensions is 12 or 13 could only be resolved in favor of Newton in 1953. Only for a few higher dimensions exact kissing numbers are known. We consider a bidisperse extension of the kissing number problem in three dimensions, where the sphere in the center has a larger radius than the surrounding spheres, and again pose the question of the maximum number of surrounding spheres that can touch the sphere in their midst without overlap. To determine this maximum number for various ratios between the radii of the center sphere and the surrounding spheres, we develop a heuristic optimization algorithm based on Simulated Annealing and its deterministic variant Threshold Accepting, which have been used to achieve excellent results in other sphere packing problems. This maximum number also serves as an upper bound for the number of contacts between spheres of different sizes in polydisperse systems with a given ratio between the radii of the largest and the smallest sphere.de_CH
dc.language.isoende_CH
dc.rightsLicence according to publishing contractde_CH
dc.subjectKissing numberde_CH
dc.subjectHeuristic optimizationde_CH
dc.subjectSimulated annealingde_CH
dc.subjectPacking problemde_CH
dc.subject.ddc510: Mathematikde_CH
dc.titleBidisperse extension of the kissing number problemde_CH
dc.typeKonferenz: Sonstigesde_CH
dcterms.typeTextde_CH
zhaw.departementSchool of Engineeringde_CH
zhaw.organisationalunitInstitut für Angewandte Mathematik und Physik (IAMP)de_CH
zhaw.conference.details28th International Conference on Statistical Physics (Statphys28), Tokyo, Japan, 7-11 August 2023de_CH
zhaw.funding.euinfo:eu-repo/grantAgreement/EC/H2020/824060//Artificial Cells with Distributed Cores to Decipher Protein Function/ACDCde_CH
zhaw.originated.zhawYesde_CH
zhaw.publication.statuspublishedVersionde_CH
zhaw.publication.reviewEditorial reviewde_CH
zhaw.funding.zhawACDC – Artificial Cells with Distributed Cores to Decipher Protein Functionde_CH
zhaw.author.additionalNode_CH
zhaw.display.portraitYesde_CH
Appears in collections:Publikationen School of Engineering

Files in This Item:
There are no files associated with this item.
Show simple item record
Schneider, J. J., Barrow, D. A., Li, J., Weyland, M., Flumini, D., Eggenberger Hotz, P., & Füchslin, R. M. (2023, August 7). Bidisperse extension of the kissing number problem. 28th International Conference on Statistical Physics (Statphys28), Tokyo, Japan, 7-11 August 2023.
Schneider, J.J. et al. (2023) ‘Bidisperse extension of the kissing number problem’, in 28th International Conference on Statistical Physics (Statphys28), Tokyo, Japan, 7-11 August 2023.
J. J. Schneider et al., “Bidisperse extension of the kissing number problem,” in 28th International Conference on Statistical Physics (Statphys28), Tokyo, Japan, 7-11 August 2023, Aug. 2023.
SCHNEIDER, Johannes Josef, David Anthony BARROW, Jin LI, Mathias WEYLAND, Dandolo FLUMINI, Peter EGGENBERGER HOTZ und Rudolf Marcel FÜCHSLIN, 2023. Bidisperse extension of the kissing number problem. In: 28th International Conference on Statistical Physics (Statphys28), Tokyo, Japan, 7-11 August 2023. Conference presentation. 7 August 2023
Schneider, Johannes Josef, David Anthony Barrow, Jin Li, Mathias Weyland, Dandolo Flumini, Peter Eggenberger Hotz, and Rudolf Marcel Füchslin. 2023. “Bidisperse Extension of the Kissing Number Problem.” Conference presentation. In 28th International Conference on Statistical Physics (Statphys28), Tokyo, Japan, 7-11 August 2023.
Schneider, Johannes Josef, et al. “Bidisperse Extension of the Kissing Number Problem.” 28th International Conference on Statistical Physics (Statphys28), Tokyo, Japan, 7-11 August 2023, 2023.


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