{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,15]],"date-time":"2026-10-15T13:47:43Z","timestamp":1792072063768,"version":"4.4.0"},"reference-count":54,"publisher":"Royal Society of Chemistry (RSC)","issue":"5","license":[{"start":{"date-parts":[[2021,12,14]],"date-time":"2021-12-14T00:00:00Z","timestamp":1639440000000},"content-version":"am","delay-in-days":347,"URL":"http:\/\/rsc.li\/journals-terms-of-use"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["11904410"],"award-info":[{"award-number":["11904410"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["rsc.org"],"crossmark-restriction":true},"short-container-title":["Soft Matter"],"abstract":"<p>Many scientists generally attribute the vibrational anomalies of disordered solids to the structural disorder, which, however, is still under intense debate.<\/p>","DOI":"10.1039\/d0sm01989e","type":"journal-article","created":{"date-parts":[[2020,12,14]],"date-time":"2020-12-14T11:35:36Z","timestamp":1607945736000},"page":"1330-1336","update-policy":"https:\/\/doi.org\/10.1039\/rsc_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["A structural approach to vibrational properties ranging from crystals to disordered systems"],"prefix":"10.1039","volume":"17","author":[{"given":"Xin","family":"Tan","sequence":"first","affiliation":[{"name":"School of Computer Science and Engineering"},{"name":"Central South University"},{"name":"Changsha 410083"},{"name":"China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ying","family":"Guo","sequence":"additional","affiliation":[{"name":"School of Automation"},{"name":"Central South University"},{"name":"Changsha 410083"},{"name":"China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Duan","family":"Huang","sequence":"additional","affiliation":[{"name":"School of Computer Science and Engineering"},{"name":"Central South University"},{"name":"Changsha 410083"},{"name":"China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ling","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Automation"},{"name":"Central South University"},{"name":"Changsha 410083"},{"name":"China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"292","published-online":{"date-parts":[[2021]]},"reference":[{"key":"D0SM01989E-(cit1)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"5665","DOI":"10.1103\/PhysRevB.34.5665","volume":"34","author":"Buchenau","year":"1986","journal-title":"Phys. Rev. B: Condens. Matter Mater. Phys."},{"key":"D0SM01989E-(cit2)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"757","DOI":"10.1016\/0038-1098(86)90854-9","volume":"57","author":"Malinovsky","year":"1986","journal-title":"Solid State Commun."},{"key":"D0SM01989E-(cit3)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"136","DOI":"10.1103\/PhysRevLett.81.136","volume":"81","author":"Schirmacher","year":"1998","journal-title":"Phys. Rev. Lett."},{"key":"D0SM01989E-(cit4)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"870","DOI":"10.1038\/nmat2293","volume":"7","author":"Shintani","year":"2008","journal-title":"Nat. Mater."},{"key":"D0SM01989E-(cit5)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"1939","DOI":"10.1126\/science.267.5206.1939","volume":"267","author":"Frick","year":"1995","journal-title":"Science"},{"key":"D0SM01989E-(cit6)\/*[position()=1]","first-page":"2181","volume":"105","author":"Chen","year":"2010","journal-title":"Phys. Rev. Lett."},{"key":"D0SM01989E-(cit7)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"3013","DOI":"10.1039\/c001360a","volume":"6","author":"Brito","year":"2010","journal-title":"Soft Matter"},{"key":"D0SM01989E-(cit8)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1038\/s41467-017-00106-5","volume":"8","author":"Zhang","year":"2017","journal-title":"Nat. Commun."},{"key":"D0SM01989E-(cit9)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1209\/0295-5075\/19\/3\/009","volume":"19","author":"Elliott","year":"1992","journal-title":"EPL"},{"key":"D0SM01989E-(cit10)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"1142","DOI":"10.1038\/srep01407","volume":"3","author":"Marruzzo","year":"2013","journal-title":"Sci. Rep."},{"key":"D0SM01989E-(cit11)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"175901","DOI":"10.1103\/PhysRevLett.116.175901","volume":"116","author":"Luo","year":"2016","journal-title":"Phys. Rev. Lett."},{"key":"D0SM01989E-(cit12)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"098301","DOI":"10.1103\/PhysRevLett.95.098301","volume":"95","author":"Silbert","year":"2005","journal-title":"Phys. Rev. Lett."},{"key":"D0SM01989E-(cit13)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"5628","DOI":"10.1039\/C4SM00561A","volume":"10","author":"DeGiuli","year":"2014","journal-title":"Soft Matter"},{"key":"D0SM01989E-(cit14)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"14052","DOI":"10.1073\/pnas.1412095111","volume":"111","author":"Ding","year":"2014","journal-title":"Proc. Natl. Acad. Sci. U. S. A."},{"key":"D0SM01989E-(cit15)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"225501","DOI":"10.1103\/PhysRevLett.106.225501","volume":"106","author":"Chumakov","year":"2011","journal-title":"Phys. Rev. Lett."},{"key":"D0SM01989E-(cit16)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1103\/PhysRevLett.112.025502","volume":"112","author":"Chumakov","year":"2014","journal-title":"Phys. Rev. Lett."},{"key":"D0SM01989E-(cit17)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"1255","DOI":"10.1103\/PhysRevLett.86.1255","volume":"86","author":"Taraskin","year":"2001","journal-title":"Phys. Rev. Lett."},{"key":"D0SM01989E-(cit18)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"15378","DOI":"10.1038\/srep15378","volume":"5","author":"Tong","year":"2015","journal-title":"Sci. Rep."},{"key":"D0SM01989E-(cit19)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"174207","DOI":"10.1103\/PhysRevB.98.174207","volume":"98","author":"Wang","year":"2018","journal-title":"Phys. Rev. B"},{"key":"D0SM01989E-(cit20)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"1361","DOI":"10.1080\/14786430310001644107","volume":"84","author":"Schober","year":"2004","journal-title":"Philos. Mag."},{"key":"D0SM01989E-(cit21)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"144303","DOI":"10.1103\/PhysRevB.94.144303","volume":"94","author":"Mizuno","year":"2016","journal-title":"Phys. Rev. B"},{"key":"D0SM01989E-(cit22)\/*[position()=1]","first-page":"012021","volume":"1036","author":"Schoenholz","year":"2018","journal-title":"J. Phys.: Conf. Ser."},{"key":"D0SM01989E-(cit23)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"108001","DOI":"10.1103\/PhysRevLett.114.108001","volume":"114","author":"Cubuk","year":"2015","journal-title":"Phys. Rev. Lett."},{"key":"D0SM01989E-(cit24)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"469","DOI":"10.1038\/nphys3644","volume":"12","author":"Schoenholz","year":"2016","journal-title":"Nat. Phys."},{"key":"D0SM01989E-(cit25)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1073\/pnas.1610204114","volume":"114","author":"Schoenholz","year":"2017","journal-title":"Proc. Natl. Acad. Sci. U. S. A."},{"key":"D0SM01989E-(cit26)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"1033","DOI":"10.1126\/science.aai8830","volume":"358","author":"Cubuk","year":"2017","journal-title":"Science"},{"key":"D0SM01989E-(cit27)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"022307","DOI":"10.1103\/PhysRevE.92.022307","volume":"92","author":"Sussman","year":"2015","journal-title":"Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys."},{"key":"D0SM01989E-(cit28)\/*[position()=1]","author":"Richard","unstructured":"D. Richard  ,  M.Ozawa ,  S.Patinet ,  E.Stanifer ,  B.Shang ,  S.Ridout ,  B.Xu ,  G.Zhang ,  P.Morse  and  J.-L.Barrat ,  et al. , 2020, arXiv preprint arXiv:2003.11629"},{"key":"D0SM01989E-(cit29)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"015701","DOI":"10.1103\/PhysRevLett.104.015701","volume":"104","author":"Yunker","year":"2010","journal-title":"Phys. Rev. Lett."},{"key":"D0SM01989E-(cit30)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"1564","DOI":"10.1063\/1.432380","volume":"64","author":"Rahman","year":"1976","journal-title":"J. Chem. Phys."},{"key":"D0SM01989E-(cit31)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1006\/jcph.1995.1039","volume":"117","author":"Plimpton","year":"1995","journal-title":"J. Comput. Phys."},{"key":"D0SM01989E-(cit32)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"578","DOI":"10.1038\/nphys3006","volume":"10","author":"Goodrich","year":"2014","journal-title":"Nat. Phys."},{"key":"D0SM01989E-(cit33)\/*[position()=1]","first-page":"55","volume":"9","author":"Binder","year":"2006","journal-title":"Mater. Today"},{"key":"D0SM01989E-(cit34)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"324","DOI":"10.1038\/nmat2634","volume":"9","author":"Tanaka","year":"2010","journal-title":"Nat. Mater."},{"key":"D0SM01989E-(cit35)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"022315","DOI":"10.1103\/PhysRevE.88.022315","volume":"88","author":"Chen","year":"2013","journal-title":"Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys."},{"key":"D0SM01989E-(cit36)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"108302","DOI":"10.1103\/PhysRevLett.107.108302","volume":"107","author":"Manning","year":"2011","journal-title":"Phys. Rev. Lett."},{"key":"D0SM01989E-(cit37)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"1924","DOI":"10.1126\/science.267.5206.1924","volume":"267","author":"Angell","year":"1995","journal-title":"Science"},{"key":"D0SM01989E-(cit38)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"126301","DOI":"10.1007\/s11467-017-0668-8","volume":"12","author":"Nie","year":"2017","journal-title":"Front. Phys."},{"key":"D0SM01989E-(cit39)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"36002","DOI":"10.1209\/0295-5075\/109\/36002","volume":"109","author":"Manning","year":"2015","journal-title":"EPL"},{"key":"D0SM01989E-(cit40)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"6139","DOI":"10.1021\/acs.jpcb.6b02144","volume":"120","author":"Cubuk","year":"2016","journal-title":"J. Phys. Chem. B"},{"key":"D0SM01989E-(cit41)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1073\/pnas.1610204114","volume":"114","author":"Schoenholz","year":"2017","journal-title":"Proc. Natl. Acad. Sci. U. S. A."},{"key":"D0SM01989E-(cit42)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"042304","DOI":"10.1103\/PhysRevE.89.042304","volume":"89","author":"Rottler","year":"2014","journal-title":"Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys."},{"key":"D0SM01989E-(cit43)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"022903","DOI":"10.1103\/PhysRevE.99.022903","volume":"99","author":"Harrington","year":"2019","journal-title":"Phys. Rev. E"},{"key":"D0SM01989E-(cit44)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"10943","DOI":"10.1073\/pnas.1807176115","volume":"115","author":"Sharp","year":"2018","journal-title":"Proc. Natl. Acad. Sci. U. S. A."},{"key":"D0SM01989E-(cit45)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"7192","DOI":"10.1103\/PhysRevE.57.7192","volume":"57","author":"Falk","year":"1998","journal-title":"Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys."},{"key":"D0SM01989E-(cit46)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"010602","DOI":"10.1103\/PhysRevE.101.010602","volume":"101","author":"Landes","year":"2020","journal-title":"Phys. Rev. E"},{"key":"D0SM01989E-(cit47)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"56001","DOI":"10.1209\/0295-5075\/90\/56001","volume":"90","author":"Xu","year":"2010","journal-title":"Europhys. Lett."},{"key":"D0SM01989E-(cit48)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"108301","DOI":"10.1103\/PhysRevLett.107.108301","volume":"107","author":"Chen","year":"2011","journal-title":"Phys. Rev. Lett."},{"key":"D0SM01989E-(cit49)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"188303","DOI":"10.1103\/PhysRevLett.107.188303","volume":"107","author":"Ghosh","year":"2011","journal-title":"Phys. Rev. Lett."},{"key":"D0SM01989E-(cit50)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"035501","DOI":"10.1103\/PhysRevLett.117.035501","volume":"117","author":"Lerner","year":"2016","journal-title":"Phys. Rev. Lett."},{"key":"D0SM01989E-(cit51)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"9767","DOI":"10.1073\/pnas.1709015114","volume":"114","author":"Mizuno","year":"2017","journal-title":"Proc. Natl. Acad. Sci. U. S. A."},{"key":"D0SM01989E-(cit52)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"267205","DOI":"10.1103\/PhysRevLett.115.267205","volume":"115","author":"Baity-Jesi","year":"2015","journal-title":"Phys. Rev. Lett."},{"key":"D0SM01989E-(cit53)\/*[position()=1]","doi-asserted-by":"crossref","first-page":"085502","DOI":"10.1103\/PhysRevLett.125.085502","volume":"125","author":"Richard","year":"2020","journal-title":"Phys. Rev. Lett."},{"key":"D0SM01989E-(cit54)\/*[position()=1]","author":"Bonfanti","unstructured":"S. Bonfanti  ,  R.Guerra ,  C.Mondal ,  I.Procaccia  and  S.Zapperi , arXiv preprint arXiv:2003.07614, 2020"}],"container-title":["Soft Matter"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/pubs.rsc.org\/en\/content\/articlepdf\/2021\/SM\/D0SM01989E","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,7,2]],"date-time":"2026-07-02T05:18:07Z","timestamp":1782969487000},"score":1,"resource":{"primary":{"URL":"https:\/\/pubs.rsc.org\/sm\/article\/17\/5\/1330-1336\/708328"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021]]},"references-count":54,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2021,2,15]]}},"URL":"https:\/\/doi.org\/10.1039\/d0sm01989e","relation":{},"ISSN":["1744-683X","1744-6848"],"issn-type":[{"value":"1744-683X","type":"print"},{"value":"1744-6848","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021]]},"assertion":[{"value":"This document is Similarity Check deposited","name":"similarity_check","explanation":{"URL":"https:\/\/www.crossref.org\/services\/similarity-check\/"},"group":{"name":"similarity_check","label":"SIMILARITY CHECK"}},{"value":"Supplementary Information","URL":"https:\/\/doi.org\/10.1039\/D0SM01989E","name":"related_data","group":{"name":"related_data","label":"RELATED DATA"}},{"value":"Single-blind","order":2,"name":"peer_review_method","group":{"name":"peer_review_method","label":"PEER REVIEW METHOD"}},{"value":"Received 9 November 2020; Accepted 25 November 2020;  Advance Article published 14 December 2020;  Version of Record published 15 February 2021","order":1,"name":"history","group":{"name":"publication_history","label":"PUBLICATION HISTORY"}}]}}