{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,6]],"date-time":"2026-10-06T01:10:26Z","timestamp":1791249026517,"version":"4.1.0"},"reference-count":69,"publisher":"Royal Society of Chemistry (RSC)","issue":"23","license":[{"start":{"date-parts":[[2026,5,28]],"date-time":"2026-05-28T00:00:00Z","timestamp":1779926400000},"content-version":"vor","delay-in-days":147,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/100010663","name":"H2020 European Research Council","doi-asserted-by":"publisher","award":["ERC-2019-ADG 884902 SoftML"],"award-info":[{"award-number":["ERC-2019-ADG 884902 SoftML"]}],"id":[{"id":"10.13039\/100010663","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["rsc.org"],"crossmark-restriction":true},"short-container-title":["Soft Matter"],"abstract":"<jats:p>Dodecagonal quasicrystals show cage-trapping dynamics like supercooled liquids, yet their vibrational modes display phase coherence and defect signatures akin to periodic crystals, a hybrid state bridging amorphous and ordered solids.<\/jats:p>","DOI":"10.1039\/d5sm00870k","type":"journal-article","created":{"date-parts":[[2026,5,28]],"date-time":"2026-05-28T11:33:29Z","timestamp":1779968009000},"page":"4057-4073","update-policy":"https:\/\/doi.org\/10.1039\/rsc_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Dynamical universality and vibrational divergence in 2D supercooled liquids, quasicrystals, and crystals"],"prefix":"10.1039","volume":"22","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7033-217X","authenticated-orcid":false,"given":"Edwin A.","family":"Bedolla-Montiel","sequence":"first","affiliation":[{"name":"Soft Condensed Matter & Biophysics, Debye Institute for Nanomaterials Science, Utrecht University, Princetonplein 1, 3584 CC Utrecht, Netherlands"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9166-6478","authenticated-orcid":false,"given":"Marjolein","family":"Dijkstra","sequence":"additional","affiliation":[{"name":"Soft Condensed Matter & Biophysics, Debye Institute for Nanomaterials Science, Utrecht University, Princetonplein 1, 3584 CC Utrecht, Netherlands"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"292","published-online":{"date-parts":[[2026]]},"reference":[{"issue":"8","key":"D5SM00870K\/cit1\/1","doi-asserted-by":"crossref","first-page":"791","DOI":"10.1016\/S1293-2558(00)01096-7","volume":"2","author":"Angell","year":"2000","journal-title":"Solid State Sci."},{"issue":"20","key":"D5SM00870K\/cit2\/1","doi-asserted-by":"crossref","first-page":"1951","DOI":"10.1103\/PhysRevLett.53.1951","volume":"53","author":"Shechtman","year":"1984","journal-title":"Phys. Rev. Lett."},{"issue":"6979","key":"D5SM00870K\/cit3\/1","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1038\/nature02368","volume":"428","author":"Zeng","year":"2004","journal-title":"Nature"},{"issue":"19","key":"D5SM00870K\/cit4\/1","doi-asserted-by":"crossref","first-page":"195502","DOI":"10.1103\/PhysRevLett.98.195502","volume":"98","author":"Hayashida","year":"2007","journal-title":"Phys. Rev. Lett."},{"issue":"7470","key":"D5SM00870K\/cit5\/1","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1038\/nature12514","volume":"502","author":"F\u00f6rster","year":"2013","journal-title":"Nature"},{"issue":"7","key":"D5SM00870K\/cit6\/1","doi-asserted-by":"crossref","first-page":"657","DOI":"10.1038\/nchem.2507","volume":"8","author":"Urgel","year":"2016","journal-title":"Nat. Chem."},{"issue":"10","key":"D5SM00870K\/cit7\/1","doi-asserted-by":"crossref","first-page":"4248","DOI":"10.1021\/jacs.9b00843","volume":"141","author":"Liu","year":"2019","journal-title":"J. Am. Chem. Soc."},{"issue":"7","key":"D5SM00870K\/cit8\/1","doi-asserted-by":"crossref","first-page":"1900624","DOI":"10.1002\/pssb.201900624","volume":"257","author":"F\u00f6rster","year":"2020","journal-title":"Phys. Status Solidi B"},{"issue":"7872","key":"D5SM00870K\/cit9\/1","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1038\/s41586-021-03700-2","volume":"596","author":"Noya","year":"2021","journal-title":"Nature"},{"issue":"1","key":"D5SM00870K\/cit10\/1","doi-asserted-by":"crossref","first-page":"7542","DOI":"10.1038\/s41467-022-35308-z","volume":"13","author":"Schenk","year":"2022","journal-title":"Nat. Commun."},{"issue":"38","key":"D5SM00870K\/cit11\/1","doi-asserted-by":"crossref","first-page":"26065","DOI":"10.1039\/D3CP03013J","volume":"25","author":"Li","year":"2023","journal-title":"Phys. Chem. Chem. Phys."},{"issue":"5","key":"D5SM00870K\/cit12\/1","doi-asserted-by":"crossref","first-page":"625","DOI":"10.1038\/s41557-023-01166-5","volume":"15","author":"Zeng","year":"2023","journal-title":"Nat. Chem."},{"issue":"14","key":"D5SM00870K\/cit13\/1","doi-asserted-by":"crossref","first-page":"2654","DOI":"10.1039\/D3SM00179B","volume":"19","author":"Fayen","year":"2023","journal-title":"Soft Matter"},{"issue":"3","key":"D5SM00870K\/cit14\/1","doi-asserted-by":"crossref","first-page":"465","DOI":"10.1038\/s41567-023-02364-1","volume":"20","author":"Plati","year":"2024","journal-title":"Nat. Phys."},{"issue":"3","key":"D5SM00870K\/cit15\/1","doi-asserted-by":"crossref","first-page":"424","DOI":"10.1038\/s41563-023-01706-x","volume":"23","author":"Zhou","year":"2024","journal-title":"Nat. Mater."},{"issue":"7135","key":"D5SM00870K\/cit16\/1","doi-asserted-by":"crossref","first-page":"517","DOI":"10.1038\/nature05620","volume":"446","author":"Matsui","year":"2007","journal-title":"Nature"},{"issue":"6037","key":"D5SM00870K\/cit17\/1","doi-asserted-by":"crossref","first-page":"1541","DOI":"10.1126\/science.1202977","volume":"332","author":"Levi","year":"2011","journal-title":"Science"},{"issue":"3","key":"D5SM00870K\/cit18\/1","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1038\/nphoton.2012.343","volume":"7","author":"Vardeny","year":"2013","journal-title":"Nat. Photonics"},{"issue":"3","key":"D5SM00870K\/cit19\/1","doi-asserted-by":"crossref","first-page":"226","DOI":"10.1038\/s41578-020-00263-y","volume":"6","author":"Yu","year":"2021","journal-title":"Nat. Rev. Mater."},{"issue":"5451","key":"D5SM00870K\/cit20\/1","doi-asserted-by":"crossref","first-page":"290","DOI":"10.1126\/science.287.5451.290","volume":"287","author":"Kegel","year":"2000","journal-title":"Science"},{"key":"D5SM00870K\/cit21\/1","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1103\/Physics.4.42","volume":"4","author":"Berthier","year":"2011","journal-title":"Physics"},{"issue":"22","key":"D5SM00870K\/cit22\/1","doi-asserted-by":"crossref","first-page":"4915","DOI":"10.1103\/PhysRevLett.80.4915","volume":"80","author":"Doliwa","year":"1998","journal-title":"Phys. Rev. Lett."},{"issue":"9","key":"D5SM00870K\/cit23\/1","doi-asserted-by":"crossref","first-page":"095704","DOI":"10.1103\/PhysRevLett.89.095704","volume":"89","author":"Weeks","year":"2002","journal-title":"Phys. Rev. Lett."},{"issue":"6","key":"D5SM00870K\/cit24\/1","doi-asserted-by":"crossref","first-page":"066501","DOI":"10.1088\/0034-4885\/75\/6\/066501","volume":"75","author":"Hunter","year":"2012","journal-title":"Rep. Prog. Phys."},{"issue":"12","key":"D5SM00870K\/cit25\/1","doi-asserted-by":"crossref","first-page":"12A538","DOI":"10.1063\/1.4769267","volume":"138","author":"Zhang","year":"2013","journal-title":"J. Chem. Phys."},{"issue":"16","key":"D5SM00870K\/cit26\/1","doi-asserted-by":"crossref","first-page":"164506","DOI":"10.1063\/1.4918807","volume":"142","author":"Zhang","year":"2015","journal-title":"J. Chem. Phys."},{"key":"D5SM00870K\/cit27\/1","first-page":"1","author":"Ishino","year":"2025","journal-title":"Nat. Mater."},{"key":"D5SM00870K\/cit28\/1","doi-asserted-by":"crossref","first-page":"97","DOI":"10.3389\/fphy.2018.00097","volume":"6","author":"Janssen","year":"2018","journal-title":"Front. Phys."},{"issue":"5","key":"D5SM00870K\/cit29\/1","doi-asserted-by":"crossref","first-page":"055104","DOI":"10.1063\/5.0245461","volume":"137","author":"Cao","year":"2025","journal-title":"J. Appl. Phys."},{"issue":"1","key":"D5SM00870K\/cit30\/1","doi-asserted-by":"crossref","first-page":"55","DOI":"10.1038\/s41467-024-54857-z","volume":"16","author":"Vaibhav","year":"2025","journal-title":"Nat. Commun."},{"issue":"1","key":"D5SM00870K\/cit31\/1","first-page":"011041","volume":"8","author":"Tong","year":"2018","journal-title":"Phys. Rev. X"},{"issue":"14","key":"D5SM00870K\/cit32\/1","doi-asserted-by":"crossref","first-page":"144502","DOI":"10.1063\/5.0004732","volume":"152","author":"Paret","year":"2020","journal-title":"J. Chem. Phys."},{"issue":"5","key":"D5SM00870K\/cit33\/1","doi-asserted-by":"crossref","first-page":"3345","DOI":"10.1103\/PhysRevB.34.3345","volume":"34","author":"Socolar","year":"1986","journal-title":"Phys. Rev. B:Condens. Matter Mater. Phys."},{"key":"D5SM00870K\/cit34\/1","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1140\/epje\/i2013-13025-0","volume":"36","author":"Kromer","year":"2013","journal-title":"Eur. Phys. J. E"},{"issue":"13","key":"D5SM00870K\/cit35\/1","doi-asserted-by":"crossref","first-page":"134206","DOI":"10.1103\/PhysRevB.82.134206","volume":"82","author":"Engel","year":"2010","journal-title":"Phys. Rev. B:Condens. Matter Mater. Phys."},{"issue":"9","key":"D5SM00870K\/cit36\/1","doi-asserted-by":"crossref","first-page":"921","DOI":"10.1209\/0295-5075\/21\/9\/008","volume":"21","author":"Kalugin","year":"1993","journal-title":"Europhys. Lett."},{"issue":"23","key":"D5SM00870K\/cit37\/1","doi-asserted-by":"publisher","first-page":"234503","DOI":"10.1063\/5.0270291","volume":"162","author":"Zhao","year":"2025","journal-title":"J. Chem. Phys."},{"issue":"8","key":"D5SM00870K\/cit38\/1","doi-asserted-by":"crossref","first-page":"1856","DOI":"10.1073\/pnas.1612964114","volume":"114","author":"Illing","year":"2017","journal-title":"Proc. Natl. Acad. Sci. U. S. A."},{"issue":"10","key":"D5SM00870K\/cit39\/1","doi-asserted-by":"crossref","first-page":"6966","DOI":"10.1103\/PhysRevB.48.6966","volume":"48","author":"Oxborrow","year":"1993","journal-title":"Phys. Rev. B:Condens. Matter Mater. Phys."},{"issue":"42","key":"D5SM00870K\/cit40\/1","doi-asserted-by":"crossref","first-page":"9560","DOI":"10.1039\/D1SM01242H","volume":"17","author":"Imp\u00e9ror-Clerc","year":"2021","journal-title":"Soft Matter"},{"key":"D5SM00870K\/cit41\/1","doi-asserted-by":"crossref","first-page":"108171","DOI":"10.1016\/j.cpc.2021.108171","volume":"271","author":"Thompson","year":"2022","journal-title":"Comput. Phys. Commun."},{"key":"D5SM00870K\/cit42\/1","doi-asserted-by":"publisher","DOI":"10.5281\/zenodo.10806852","author":"Plimpton","year":"2024","unstructured":"S. J.Plimpton ,  A.Kohlmeyer ,  A. P.Thompson ,  S. G.Moore  and  R.Berger , LAMMPS: Large-scale Atomic\/Molecular Massively Parallel Simulator, Zenodo,  2024 10.5281\/zenodo.10806852"},{"issue":"23","key":"D5SM00870K\/cit43\/1","doi-asserted-by":"crossref","first-page":"238002","DOI":"10.1103\/PhysRevLett.124.238002","volume":"124","author":"Arceri","year":"2020","journal-title":"Phys. Rev. Lett."},{"issue":"1","key":"D5SM00870K\/cit44\/1","doi-asserted-by":"crossref","first-page":"011506","DOI":"10.1103\/PhysRevE.74.011506","volume":"74","author":"Hamanaka","year":"2006","journal-title":"Phys. Rev. E:Stat., Nonlinear, Soft Matter Phys."},{"issue":"4","key":"D5SM00870K\/cit45\/1","doi-asserted-by":"crossref","first-page":"324","DOI":"10.1038\/nmat2634","volume":"9","author":"Tanaka","year":"2010","journal-title":"Nat. Mater."},{"issue":"19","key":"D5SM00870K\/cit46\/1","first-page":"194121","volume":"23","author":"Kawasaki","year":"2011","journal-title":"J. Phys.: Condens. Matter"},{"issue":"1","key":"D5SM00870K\/cit47\/1","doi-asserted-by":"crossref","first-page":"2955","DOI":"10.1038\/s41467-023-38547-w","volume":"14","author":"Wu","year":"2023","journal-title":"Nat. Commun."},{"issue":"1","key":"D5SM00870K\/cit48\/1","doi-asserted-by":"crossref","first-page":"014101","DOI":"10.1063\/1.2408420","volume":"126","author":"Bussi","year":"2007","journal-title":"J. Chem. Phys."},{"issue":"27","key":"D5SM00870K\/cit49\/1","first-page":"275103","volume":"32","author":"Padilla","year":"2020","journal-title":"J. Phys.: Condens. Matter"},{"issue":"3","key":"D5SM00870K\/cit50\/1","doi-asserted-by":"crossref","first-page":"eabj6731","DOI":"10.1126\/sciadv.abj6731","volume":"8","author":"Coli","year":"2022","journal-title":"Sci. Adv."},{"issue":"11","key":"D5SM00870K\/cit51\/1","doi-asserted-by":"crossref","first-page":"2152","DOI":"10.1039\/C7SM02429K","volume":"14","author":"Kryuchkov","year":"2018","journal-title":"Soft Matter."},{"issue":"4","key":"D5SM00870K\/cit52\/1","doi-asserted-by":"crossref","first-page":"048202","DOI":"10.1103\/PhysRevLett.132.048202","volume":"132","author":"Fayen","year":"2024","journal-title":"Phys. Rev. Lett."},{"issue":"22","key":"D5SM00870K\/cit53\/1","doi-asserted-by":"crossref","first-page":"1133","DOI":"10.1103\/PhysRevLett.17.1133","volume":"17","author":"Mermin","year":"1966","journal-title":"Phys. Rev. Lett."},{"issue":"29","key":"D5SM00870K\/cit54\/1","first-page":"6463","volume":"12","author":"Angell","year":"2000","journal-title":"J. Phys.: Condens. Matter"},{"key":"D5SM00870K\/cit55\/1","first-page":"100098","volume":"14","author":"Das","year":"2022","journal-title":"J. Non-Cryst. Solids:X"},{"issue":"48","key":"D5SM00870K\/cit56\/1","doi-asserted-by":"crossref","first-page":"9385","DOI":"10.1039\/C5SM01520K","volume":"11","author":"van der Meer","year":"2015","journal-title":"Soft Matter."},{"issue":"5","key":"D5SM00870K\/cit57\/1","doi-asserted-by":"crossref","first-page":"4626","DOI":"10.1103\/PhysRevE.51.4626","volume":"51","author":"Kob","year":"1995","journal-title":"Phys. Rev. E:Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top."},{"issue":"17","key":"D5SM00870K\/cit58\/1","doi-asserted-by":"crossref","first-page":"170201","DOI":"10.1103\/PhysRevLett.97.170201","volume":"97","author":"Bitzek","year":"2006","journal-title":"Phys. Rev. Lett."},{"issue":"6","key":"D5SM00870K\/cit59\/1","doi-asserted-by":"crossref","first-page":"2029","DOI":"10.1103\/PhysRevB.4.2029","volume":"4","author":"Zeller","year":"1971","journal-title":"Phys. Rev. B"},{"key":"D5SM00870K\/cit60\/1","author":"Ramos","year":"2022","unstructured":"M. A.Ramos  Low-temperature Thermal and Vibrational Properties of Disordered Solids: A Half-century of Universal anomalies of Glasses, World Scientific,  2022"},{"issue":"11","key":"D5SM00870K\/cit61\/1","doi-asserted-by":"crossref","first-page":"870","DOI":"10.1038\/nmat2293","volume":"7","author":"Shintani","year":"2008","journal-title":"Nat. Mater."},{"issue":"6","key":"D5SM00870K\/cit62\/1","doi-asserted-by":"crossref","first-page":"669","DOI":"10.1038\/s41567-022-01628-6","volume":"18","author":"Hu","year":"2022","journal-title":"Nat. Phys."},{"issue":"14","key":"D5SM00870K\/cit63\/1","doi-asserted-by":"crossref","first-page":"145501","DOI":"10.1103\/PhysRevLett.122.145501","volume":"122","author":"Baggioli","year":"2019","journal-title":"Phys. Rev. Lett."},{"issue":"13","key":"D5SM00870K\/cit64\/1","doi-asserted-by":"crossref","first-page":"8849","DOI":"10.1103\/PhysRevB.62.8849","volume":"62","author":"Brand","year":"2000","journal-title":"Phys. Rev. B:Condens. Matter Mater. Phys."},{"issue":"1","key":"D5SM00870K\/cit65\/1","doi-asserted-by":"crossref","first-page":"210","DOI":"10.1016\/S0022-3093(01)00629-9","volume":"287","author":"Brand","year":"2001","journal-title":"J. Non-Cryst. Solids"},{"issue":"5","key":"D5SM00870K\/cit66\/1","doi-asserted-by":"crossref","first-page":"636","DOI":"10.1103\/PhysRevLett.66.636","volume":"66","author":"Laird","year":"1991","journal-title":"Phys. Rev. Lett."},{"key":"D5SM00870K\/cit67\/1","doi-asserted-by":"publisher","DOI":"10.5281\/zenodo.16965771","author":"Bedolla","year":"2025","unstructured":"E.Bedolla , Striking Similarities in Dynamics and Vibrations of 2D Quasicrystals and Supercooled Liquids, Zenodo,  2025 10.5281\/zenodo.16965771"},{"issue":"1","key":"D5SM00870K\/cit68\/1","doi-asserted-by":"crossref","first-page":"011503","DOI":"10.1103\/PhysRevE.78.011503","volume":"78","author":"Eckmann","year":"2008","journal-title":"Phys. Rev. E:Stat., Nonlinear, Soft Matter Phys."},{"issue":"13","key":"D5SM00870K\/cit69\/1","doi-asserted-by":"crossref","first-page":"2700","DOI":"10.1039\/C4SM02459A","volume":"11","author":"Zhou","year":"2015","journal-title":"Soft Matter"}],"container-title":["Soft Matter"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/pubs.rsc.org\/en\/content\/articlepdf\/2026\/SM\/D5SM00870K","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,7,7]],"date-time":"2026-07-07T18:44:56Z","timestamp":1783449896000},"score":1,"resource":{"primary":{"URL":"https:\/\/pubs.rsc.org\/sm\/article\/22\/23\/4057-4073\/1224850"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026]]},"references-count":69,"journal-issue":{"issue":"23","published-print":{"date-parts":[[2026,6,17]]}},"URL":"https:\/\/doi.org\/10.1039\/d5sm00870k","relation":{"has-review":[{"id-type":"doi","id":"10.1039\/D5SM00870K\/v2\/decision1","asserted-by":"object"},{"id-type":"doi","id":"10.1039\/D5SM00870K\/v2\/response1","asserted-by":"object"},{"id-type":"doi","id":"10.1039\/D5SM00870K\/v2\/review1","asserted-by":"object"},{"id-type":"doi","id":"10.1039\/D5SM00870K\/v2\/review3","asserted-by":"object"},{"id-type":"doi","id":"10.1039\/D5SM00870K\/v2\/review2","asserted-by":"object"},{"id-type":"doi","id":"10.1039\/D5SM00870K\/v3\/decision1","asserted-by":"object"},{"id-type":"doi","id":"10.1039\/D5SM00870K\/v1\/decision1","asserted-by":"object"},{"id-type":"doi","id":"10.1039\/D5SM00870K\/v3\/review2","asserted-by":"object"},{"id-type":"doi","id":"10.1039\/D5SM00870K\/v3\/review1","asserted-by":"object"},{"id-type":"doi","id":"10.1039\/D5SM00870K\/v4\/decision1","asserted-by":"object"},{"id-type":"doi","id":"10.1039\/D5SM00870K\/v1\/review2","asserted-by":"object"},{"id-type":"doi","id":"10.1039\/D5SM00870K\/v1\/review1","asserted-by":"object"},{"id-type":"doi","id":"10.1039\/D5SM00870K\/v4\/response1","asserted-by":"object"},{"id-type":"doi","id":"10.1039\/D5SM00870K\/v1\/review3","asserted-by":"object"},{"id-type":"doi","id":"10.1039\/D5SM00870K\/v3\/response1","asserted-by":"object"}]},"ISSN":["1744-683X","1744-6848"],"issn-type":[{"value":"1744-683X","type":"print"},{"value":"1744-6848","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026]]}}}