Quasicrystalline three-dimensional foams
We present a numerical study of quasiperiodic foams, in which the bubbles are generated as duals of quasiperiodic Frank-Kasper phases. These foams are investigated as potential candidates to the celebrated Kelvin problem for the partition of three-dimensional space with equal volume bubbles and mini...
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Veröffentlicht in: | Journal of physics. Condensed matter 2017-03, Vol.29 (11), p.114001-114001 |
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creator | Cox, S J Graner, F Mosseri, R Sadoc, J-F |
description | We present a numerical study of quasiperiodic foams, in which the bubbles are generated as duals of quasiperiodic Frank-Kasper phases. These foams are investigated as potential candidates to the celebrated Kelvin problem for the partition of three-dimensional space with equal volume bubbles and minimal surface area. Interestingly, one of the computed structures falls close to (but still slightly above) the best known Weaire-Phelan periodic candidate. In addition we find a correlation between the normalized bubble surface area and the root mean squared deviation of the number of faces, giving an additional clue to understanding the main geometrical ingredients driving the Kelvin problem. |
doi_str_mv | 10.1088/1361-648X/aa5712 |
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Condensed matter</title><addtitle>JPhysCM</addtitle><addtitle>J. Phys.: Condens. Matter</addtitle><description>We present a numerical study of quasiperiodic foams, in which the bubbles are generated as duals of quasiperiodic Frank-Kasper phases. These foams are investigated as potential candidates to the celebrated Kelvin problem for the partition of three-dimensional space with equal volume bubbles and minimal surface area. Interestingly, one of the computed structures falls close to (but still slightly above) the best known Weaire-Phelan periodic candidate. In addition we find a correlation between the normalized bubble surface area and the root mean squared deviation of the number of faces, giving an additional clue to understanding the main geometrical ingredients driving the Kelvin problem.</description><subject>foams</subject><subject>Kelvin problem</subject><subject>quasicrystals</subject><subject>Sciences of the Universe</subject><issn>0953-8984</issn><issn>1361-648X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LAzEQhoMotlbvnqQ3i7h2skk2ybEUtUJBBAVvIdlNaMp-udkV-u_dsrUnEYYZGJ55YR6ErjE8YBBijkmCo4SKz7nWjOP4BI2Pq1M0BslIJKSgI3QRwhYAqCD0HI1iAYxJIcdo9tbp4NNmF1qd576003bTWBtlvrBl8FWp86mrdBEu0ZnTebBXhzlBH0-P78tVtH59flku1lFKKWsjQwQQDqkBzDlmlKeaC2JkZozUsRAupUQQjh2NMTiXgDNxzE3GDOsbEDJBd0PuRueqbnyhm52qtFerxVr5MnQKiEyElPwb9_BsgOum-upsaFXhQ2rzXJe26oLCgiX9nyDiHoUBTZsqhMa6YzgGtZep9ubU3pwaZPYnN4f0zhQ2Ox782uuB-wHwVa22Vdf0tsJ_ebd_4GmhYqkw7osCYFVnjvwAq_eIhA</recordid><startdate>20170322</startdate><enddate>20170322</enddate><creator>Cox, S J</creator><creator>Graner, F</creator><creator>Mosseri, R</creator><creator>Sadoc, J-F</creator><general>IOP Publishing</general><general>IOP Publishing [1989-....]</general><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope><scope>1XC</scope></search><sort><creationdate>20170322</creationdate><title>Quasicrystalline three-dimensional foams</title><author>Cox, S J ; Graner, F ; Mosseri, R ; Sadoc, J-F</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c445t-b380370cb01771547ca783b9dbb9a288fc438371f4210ff60fb227bd5b5bd5033</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>foams</topic><topic>Kelvin problem</topic><topic>quasicrystals</topic><topic>Sciences of the Universe</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Cox, S J</creatorcontrib><creatorcontrib>Graner, F</creatorcontrib><creatorcontrib>Mosseri, R</creatorcontrib><creatorcontrib>Sadoc, J-F</creatorcontrib><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><collection>Hyper Article en Ligne (HAL)</collection><jtitle>Journal of physics. 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These foams are investigated as potential candidates to the celebrated Kelvin problem for the partition of three-dimensional space with equal volume bubbles and minimal surface area. Interestingly, one of the computed structures falls close to (but still slightly above) the best known Weaire-Phelan periodic candidate. In addition we find a correlation between the normalized bubble surface area and the root mean squared deviation of the number of faces, giving an additional clue to understanding the main geometrical ingredients driving the Kelvin problem.</abstract><cop>England</cop><pub>IOP Publishing</pub><pmid>28055989</pmid><doi>10.1088/1361-648X/aa5712</doi><tpages>9</tpages><oa>free_for_read</oa></addata></record> |
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subjects | foams Kelvin problem quasicrystals Sciences of the Universe |
title | Quasicrystalline three-dimensional foams |
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