{"id":"https://openalex.org/W7125247320","doi":"https://doi.org/10.3390/e28010126","title":"Orientation-Modulated Hyperuniformity in Frustrated Vicsek\u2013Kuramoto Systems","display_name":"Orientation-Modulated Hyperuniformity in Frustrated Vicsek\u2013Kuramoto Systems","publication_year":2026,"publication_date":"2026-01-21","ids":{"openalex":"https://openalex.org/W7125247320","doi":"https://doi.org/10.3390/e28010126","pmid":"https://pubmed.ncbi.nlm.nih.gov/41594033"},"language":"en","primary_location":{"id":"doi:10.3390/e28010126","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e28010126","pdf_url":null,"source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/e28010126","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112324365","display_name":"Yichen Lu","orcid":null},"institutions":[{"id":"https://openalex.org/I119045251","display_name":"Huaqiao University","ror":"https://ror.org/03frdh605","country_code":"CN","type":"education","lineage":["https://openalex.org/I119045251"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yichen Lu","raw_affiliation_strings":["Institute of Systems Science, Huaqiao University, Xiamen 361021, China","School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China"],"affiliations":[{"raw_affiliation_string":"Institute of Systems Science, Huaqiao University, Xiamen 361021, China","institution_ids":["https://openalex.org/I119045251"]},{"raw_affiliation_string":"School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China","institution_ids":["https://openalex.org/I119045251"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Tong Zhu","orcid":"https://orcid.org/0009-0002-2127-4951"},"institutions":[{"id":"https://openalex.org/I119045251","display_name":"Huaqiao University","ror":"https://ror.org/03frdh605","country_code":"CN","type":"education","lineage":["https://openalex.org/I119045251"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tong Zhu","raw_affiliation_strings":["College of Information Science and Technology, Huaqiao University, Xiamen 361021, China","Institute of Systems Science, Huaqiao University, Xiamen 361021, China"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Technology, Huaqiao University, Xiamen 361021, China","institution_ids":["https://openalex.org/I119045251"]},{"raw_affiliation_string":"Institute of Systems Science, Huaqiao University, Xiamen 361021, China","institution_ids":["https://openalex.org/I119045251"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101293060","display_name":"Yingshan Guo","orcid":null},"institutions":[{"id":"https://openalex.org/I119045251","display_name":"Huaqiao University","ror":"https://ror.org/03frdh605","country_code":"CN","type":"education","lineage":["https://openalex.org/I119045251"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yingshan Guo","raw_affiliation_strings":["College of Mechanical Engineering and Automation Science and Technology, Huaqiao University, Xiamen 361021, China","Institute of Systems Science, Huaqiao University, Xiamen 361021, China"],"affiliations":[{"raw_affiliation_string":"College of Mechanical Engineering and Automation Science and Technology, Huaqiao University, Xiamen 361021, China","institution_ids":["https://openalex.org/I119045251"]},{"raw_affiliation_string":"Institute of Systems Science, Huaqiao University, Xiamen 361021, China","institution_ids":["https://openalex.org/I119045251"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5123101741","display_name":"Yunyun Li","orcid":null},"institutions":[{"id":"https://openalex.org/I116953780","display_name":"Tongji University","ror":"https://ror.org/03rc6as71","country_code":"CN","type":"education","lineage":["https://openalex.org/I116953780"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunyun Li","raw_affiliation_strings":["MOE Key Laboratory of Advanced Micro-Structured Materials, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China"],"affiliations":[{"raw_affiliation_string":"MOE Key Laboratory of Advanced Micro-Structured Materials, School of Physics Science and Engineering, Tongji University, Shanghai 200092, China","institution_ids":["https://openalex.org/I116953780"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001598968","display_name":"Zhigang Zheng","orcid":null},"institutions":[{"id":"https://openalex.org/I119045251","display_name":"Huaqiao University","ror":"https://ror.org/03frdh605","country_code":"CN","type":"education","lineage":["https://openalex.org/I119045251"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhigang Zheng","raw_affiliation_strings":["College of Information Science and Technology, Huaqiao University, Xiamen 361021, China","Institute of Systems Science, Huaqiao University, Xiamen 361021, China"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Technology, Huaqiao University, Xiamen 361021, China","institution_ids":["https://openalex.org/I119045251"]},{"raw_affiliation_string":"Institute of Systems Science, Huaqiao University, Xiamen 361021, China","institution_ids":["https://openalex.org/I119045251"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5112324365"],"corresponding_institution_ids":["https://openalex.org/I119045251"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":25.4124,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.98176562,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":98},"biblio":{"volume":"28","issue":"1","first_page":"126","last_page":"126"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11486","display_name":"Micro and Nano Robotics","score":0.8776999711990356,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11486","display_name":"Micro and Nano Robotics","score":0.8776999711990356,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.0737999975681305,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.0066999997943639755,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/frustration","display_name":"Frustration","score":0.7452999949455261},{"id":"https://openalex.org/keywords/phase-diagram","display_name":"Phase diagram","score":0.5928000211715698},{"id":"https://openalex.org/keywords/complementarity","display_name":"Complementarity (molecular biology)","score":0.5543000102043152},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.4999000132083893},{"id":"https://openalex.org/keywords/active-matter","display_name":"Active matter","score":0.4659999907016754},{"id":"https://openalex.org/keywords/anisotropy","display_name":"Anisotropy","score":0.4327000081539154},{"id":"https://openalex.org/keywords/quasicrystal","display_name":"Quasicrystal","score":0.3698999881744385}],"concepts":[{"id":"https://openalex.org/C38710091","wikidata":"https://www.wikidata.org/wiki/Q192242","display_name":"Frustration","level":2,"score":0.7452999949455261},{"id":"https://openalex.org/C85906118","wikidata":"https://www.wikidata.org/wiki/Q186693","display_name":"Phase diagram","level":3,"score":0.5928000211715698},{"id":"https://openalex.org/C202269582","wikidata":"https://www.wikidata.org/wiki/Q2644277","display_name":"Complementarity (molecular biology)","level":2,"score":0.5543000102043152},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4999000132083893},{"id":"https://openalex.org/C2775993382","wikidata":"https://www.wikidata.org/wiki/Q4677565","display_name":"Active matter","level":2,"score":0.4659999907016754},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.44350001215934753},{"id":"https://openalex.org/C85725439","wikidata":"https://www.wikidata.org/wiki/Q466686","display_name":"Anisotropy","level":2,"score":0.4327000081539154},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.42570000886917114},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4074999988079071},{"id":"https://openalex.org/C203101518","wikidata":"https://www.wikidata.org/wiki/Q263214","display_name":"Quasicrystal","level":2,"score":0.3698999881744385},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.36239999532699585},{"id":"https://openalex.org/C47822265","wikidata":"https://www.wikidata.org/wiki/Q854457","display_name":"Complex system","level":2,"score":0.35109999775886536},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.319599986076355},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.3109000027179718},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.2696000039577484},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.26589998602867126},{"id":"https://openalex.org/C89611455","wikidata":"https://www.wikidata.org/wiki/Q6804646","display_name":"Mechanism (biology)","level":2,"score":0.2565999925136566},{"id":"https://openalex.org/C50335755","wikidata":"https://www.wikidata.org/wiki/Q483247","display_name":"Phenomenon","level":2,"score":0.2549999952316284}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e28010126","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e28010126","pdf_url":null,"source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:41594033","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/41594033","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:15f7febfaf6047709b285db8fc8751d7","is_oa":true,"landing_page_url":"https://doaj.org/article/15f7febfaf6047709b285db8fc8751d7","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 28, Iss 1, p 126 (2026)","raw_type":"article"},{"id":"pmh:oai:pubmedcentral.nih.gov:12840445","is_oa":true,"landing_page_url":"https://pmc.ncbi.nlm.nih.gov/articles/PMC12840445/","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e28010126","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e28010126","pdf_url":null,"source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2569537234","display_name":null,"funder_award_id":"12375031","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2958493599","display_name":null,"funder_award_id":"11875135","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":50,"referenced_works":["https://openalex.org/W1431853149","https://openalex.org/W1966481755","https://openalex.org/W1992406658","https://openalex.org/W2015410655","https://openalex.org/W2021142303","https://openalex.org/W2029109287","https://openalex.org/W2030047754","https://openalex.org/W2032824428","https://openalex.org/W2033534647","https://openalex.org/W2041239905","https://openalex.org/W2072298344","https://openalex.org/W2074574519","https://openalex.org/W2091567533","https://openalex.org/W2095692935","https://openalex.org/W2118128488","https://openalex.org/W2134361208","https://openalex.org/W2145086490","https://openalex.org/W2230788525","https://openalex.org/W2304845716","https://openalex.org/W2444117622","https://openalex.org/W2560240422","https://openalex.org/W2603300613","https://openalex.org/W2617070764","https://openalex.org/W2785135064","https://openalex.org/W2911877643","https://openalex.org/W2982497370","https://openalex.org/W3006248385","https://openalex.org/W3017352144","https://openalex.org/W3023880728","https://openalex.org/W3037353734","https://openalex.org/W3117525895","https://openalex.org/W3158725599","https://openalex.org/W4221079656","https://openalex.org/W4240776791","https://openalex.org/W4281624919","https://openalex.org/W4283314820","https://openalex.org/W4377239904","https://openalex.org/W4388502184","https://openalex.org/W4392798934","https://openalex.org/W4399427193","https://openalex.org/W4400416035","https://openalex.org/W4402309045","https://openalex.org/W4402309955","https://openalex.org/W4410777413","https://openalex.org/W4414229791","https://openalex.org/W4414468825","https://openalex.org/W4414601471","https://openalex.org/W4414910862","https://openalex.org/W4416767153","https://openalex.org/W4417183829"],"related_works":[],"abstract_inverted_index":{"In":[0],"the":[1,52,56,61,84,107],"study":[2],"of":[3,86,110],"disordered":[4,10,146],"hyperuniformity,":[5],"which":[6],"bridges":[7],"ordered":[8],"and":[9,12,18,60,79,89,154],"states":[11,47,70,133],"has":[13],"broad":[14],"implications":[15],"in":[16,134],"physics":[17],"biology,":[19],"active":[20,90,135],"matter":[21],"systems":[22,153],"offer":[23],"a":[24,117,127],"rich":[25],"platform":[26],"for":[27,130],"spontaneous":[28],"pattern":[29],"formation.":[30],"This":[31,122],"work":[32,123],"investigates":[33],"frustrated":[34],"Vicsek-Kuramoto":[35],"systems,":[36],"where":[37],"frustration":[38,125],"induces":[39],"complex":[40],"collective":[41],"behaviors,":[42],"to":[43,151],"explore":[44],"how":[45,138],"hyperuniform":[46,132],"arise.":[48],"We":[49],"numerically":[50],"analyze":[51],"phase":[53],"diagram":[54],"via":[55],"structure":[57],"factor":[58],"S(q)":[59],"density":[62],"variance":[63],"\u27e8\u03b4\u03c12R\u27e9.":[64],"Results":[65],"show":[66],"that":[67,113],"recessive":[68],"lattice":[69],"exhibit":[71],"Class":[72],"I":[73],"hyperuniformity":[74,104],"under":[75],"high":[76],"coupling":[77],"strength":[78],"intermediate":[80],"frustration,":[81],"emerging":[82],"from":[83,106,145],"interplay":[85],"frustration-induced":[87],"periodicity":[88],"motion,":[91],"characterized":[92],"by":[93],"dynamic,":[94],"drifting":[95],"rotation":[96],"centers":[97],"rather":[98],"than":[99],"static":[100],"order.":[101],"Notably,":[102],"global":[103,143],"emerges":[105],"spatial":[108],"complementarity":[109],"orientation":[111],"subgroups":[112],"are":[114],"individually":[115],"non-hyperuniform,":[116],"phenomenon":[118],"termed":[119],"\"orientation-modulated":[120],"hyperuniformity\".":[121],"establishes":[124],"as":[126],"novel":[128],"mechanism":[129],"generating":[131],"matter,":[136],"highlighting":[137],"anisotropic":[139],"interactions":[140],"can":[141],"yield":[142],"order":[144],"components,":[147],"with":[148],"potential":[149],"relevance":[150],"biological":[152],"material":[155],"science.":[156]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2026-01-22T00:00:00"}
