{"id":"https://openalex.org/W7212003003","doi":"https://doi.org/10.3390/liquids6040034","title":"Emergence of Nanoscale Modulation in Liquid Crystals from Short-Range Order Parameter Condensation","display_name":"Emergence of Nanoscale Modulation in Liquid Crystals from Short-Range Order Parameter Condensation","publication_year":2026,"publication_date":"2026-10-26","ids":{"openalex":"https://openalex.org/W7212003003","doi":"https://doi.org/10.3390/liquids6040034"},"language":"en","primary_location":{"id":"doi:10.3390/liquids6040034","doi":"https://doi.org/10.3390/liquids6040034","is_oa":true,"landing_page_url":"https://doi.org/10.3390/liquids6040034","pdf_url":null,"source":{"id":"https://openalex.org/S4210215429","display_name":"Liquids","issn_l":"2673-8015","issn":["2673-8015"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj"],"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Liquids","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/liquids6040034","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050262522","display_name":"Efim I Kats","orcid":"https://orcid.org/0000-0003-4955-0727","observed_orcids":["https://orcid.org/0000-0003-4955-0727"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"E.I. Kats","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5050262522"],"corresponding_institution_ids":[],"apc_list":{"value":1000,"currency":"CHF","value_usd":1207},"apc_paid":{"value":1000,"currency":"CHF","value_usd":1207},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.46986808,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":"4","first_page":"34","last_page":"34"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10306","display_name":"Liquid Crystal Research Advancements","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10306","display_name":"Liquid Crystal Research Advancements","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11737","display_name":"Advanced Materials and Mechanics","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10474","display_name":"Material Dynamics and Properties","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/twist-bend-nematic-phase","display_name":"twist-bend nematic phase","score":0.9850000143051147},{"id":"https://openalex.org/keywords/liquid-crystals","display_name":"liquid crystals","score":0.8730000257492065},{"id":"https://openalex.org/keywords/bent-core-molecules","display_name":"bent-core molecules","score":0.7239999771118164},{"id":"https://openalex.org/keywords/dimeric-molecules","display_name":"dimeric molecules","score":0.9309999942779541},{"id":"https://openalex.org/keywords/landau-theory","display_name":"Landau theory","score":0.7400000095367432},{"id":"https://openalex.org/keywords/nematic-order-parameter","display_name":"nematic order parameter","score":0.6610000133514404},{"id":"https://openalex.org/keywords/nematic-smectic-a-transition","display_name":"nematic-smectic A transition","score":0.7649999856948853},{"id":"https://openalex.org/keywords/de-gennes-theory","display_name":"de Gennes theory","score":0.9079999923706055},{"id":"https://openalex.org/keywords/goldstone-modes","display_name":"Goldstone modes","score":0.859000027179718},{"id":"https://openalex.org/keywords/spontaneous-symmetry-breaking","display_name":"spontaneous symmetry breaking","score":0.8679999709129333},{"id":"https://openalex.org/keywords/first-order-phase-transition","display_name":"first-order phase transition","score":0.8230000138282776},{"id":"https://openalex.org/keywords/orientational-correlations","display_name":"orientational correlations","score":0.6499999761581421}],"concepts":[{"id":"https://openalex.org/C13274807","wikidata":"https://www.wikidata.org/wiki/Q203989","display_name":"Liquid crystal","level":2,"score":0.8777999877929688},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.7200000286102295},{"id":"https://openalex.org/C45206210","wikidata":"https://www.wikidata.org/wiki/Q2415817","display_name":"Nanoscopic scale","level":2,"score":0.605400025844574},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.5626999735832214},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.534500002861023},{"id":"https://openalex.org/C2779569378","wikidata":"https://www.wikidata.org/wiki/Q25303768","display_name":"Phenomenological model","level":2,"score":0.4975999891757965},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.47780001163482666},{"id":"https://openalex.org/C123079801","wikidata":"https://www.wikidata.org/wiki/Q750240","display_name":"Modulation (music)","level":2,"score":0.4691999852657318},{"id":"https://openalex.org/C201144084","wikidata":"https://www.wikidata.org/wiki/Q1626812","display_name":"Landau theory","level":3,"score":0.4666999876499176},{"id":"https://openalex.org/C2776133180","wikidata":"https://www.wikidata.org/wiki/Q18204993","display_name":"Soft modes","level":4,"score":0.44749999046325684},{"id":"https://openalex.org/C85906118","wikidata":"https://www.wikidata.org/wiki/Q186693","display_name":"Phase diagram","level":3,"score":0.43689998984336853},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.41780000925064087},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.4074000120162964},{"id":"https://openalex.org/C24916182","wikidata":"https://www.wikidata.org/wiki/Q4902686","display_name":"Biaxial nematic","level":3,"score":0.39890000224113464},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.376800000667572},{"id":"https://openalex.org/C204795200","wikidata":"https://www.wikidata.org/wiki/Q903282","display_name":"Symmetry breaking","level":2,"score":0.365200012922287},{"id":"https://openalex.org/C159467904","wikidata":"https://www.wikidata.org/wiki/Q2001702","display_name":"Chemical physics","level":1,"score":0.33970001339912415},{"id":"https://openalex.org/C64042099","wikidata":"https://www.wikidata.org/wiki/Q1116835","display_name":"Goldstone","level":2,"score":0.3384999930858612},{"id":"https://openalex.org/C200093464","wikidata":"https://www.wikidata.org/wiki/Q166583","display_name":"Condensation","level":2,"score":0.33739998936653137},{"id":"https://openalex.org/C2987642246","wikidata":"https://www.wikidata.org/wiki/Q5452196","display_name":"First order","level":2,"score":0.3314000070095062},{"id":"https://openalex.org/C38976095","wikidata":"https://www.wikidata.org/wiki/Q752641","display_name":"Asymmetry","level":2,"score":0.3203999996185303},{"id":"https://openalex.org/C104862878","wikidata":"https://www.wikidata.org/wiki/Q1770567","display_name":"Topological defect","level":2,"score":0.3066999912261963},{"id":"https://openalex.org/C96834759","wikidata":"https://www.wikidata.org/wiki/Q750463","display_name":"Phase modulation","level":3,"score":0.3052000105381012},{"id":"https://openalex.org/C32909587","wikidata":"https://www.wikidata.org/wiki/Q11369","display_name":"Molecule","level":2,"score":0.2930999994277954},{"id":"https://openalex.org/C131584629","wikidata":"https://www.wikidata.org/wiki/Q4308705","display_name":"Coupling (piping)","level":2,"score":0.2669000029563904},{"id":"https://openalex.org/C2781288168","wikidata":"https://www.wikidata.org/wiki/Q6840037","display_name":"Microscopic theory","level":2,"score":0.2637999951839447},{"id":"https://openalex.org/C5637370","wikidata":"https://www.wikidata.org/wiki/Q402478","display_name":"Thermal fluctuations","level":2,"score":0.26100000739097595},{"id":"https://openalex.org/C2779291638","wikidata":"https://www.wikidata.org/wiki/Q1455736","display_name":"Local symmetry","level":2,"score":0.25189998745918274},{"id":"https://openalex.org/C11135259","wikidata":"https://www.wikidata.org/wiki/Q2477027","display_name":"Length scale","level":2,"score":0.251800000667572}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/liquids6040034","doi":"https://doi.org/10.3390/liquids6040034","is_oa":true,"landing_page_url":"https://doi.org/10.3390/liquids6040034","pdf_url":null,"source":{"id":"https://openalex.org/S4210215429","display_name":"Liquids","issn_l":"2673-8015","issn":["2673-8015"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj"],"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Liquids","raw_type":"journal-article"},{"id":"doi:10.20944/preprints202609.0672.v1","doi":"https://doi.org/10.20944/preprints202609.0672.v1","is_oa":true,"landing_page_url":"https://doi.org/10.20944/preprints202609.0672.v1","pdf_url":null,"source":{"id":"https://openalex.org/S6309402219","display_name":"Preprints.org","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"posted-content"},{"id":"pmh:oai:arXiv.org:2609.30916","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.30916","pdf_url":"https://arxiv.org/pdf/2609.30916","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.30916","doi":"https://doi.org/10.48550/arxiv.2609.30916","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.30916","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.3390/liquids6040034","doi":"https://doi.org/10.3390/liquids6040034","is_oa":true,"landing_page_url":"https://doi.org/10.3390/liquids6040034","pdf_url":null,"source":{"id":"https://openalex.org/S4210215429","display_name":"Liquids","issn_l":"2673-8015","issn":["2673-8015"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj"],"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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Liquids","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7212003003.pdf","grobid_xml":"https://content.openalex.org/works/W7212003003.grobid-xml"},"referenced_works_count":16,"referenced_works":["https://openalex.org/W641235655","https://openalex.org/W1518694232","https://openalex.org/W1632182214","https://openalex.org/W1966706206","https://openalex.org/W2001853042","https://openalex.org/W2046022991","https://openalex.org/W2052891955","https://openalex.org/W2119395683","https://openalex.org/W2123805297","https://openalex.org/W2133635683","https://openalex.org/W2134335456","https://openalex.org/W2952787435","https://openalex.org/W3032508826","https://openalex.org/W3138481751","https://openalex.org/W4388395150","https://openalex.org/W4406017954"],"related_works":["https://openalex.org/W2001853042","https://openalex.org/W3022357044","https://openalex.org/W4243698153","https://openalex.org/W4200344188","https://openalex.org/W2752138588","https://openalex.org/W2134335456","https://openalex.org/W2607556863","https://openalex.org/W4214504887","https://openalex.org/W2802432821","https://openalex.org/W3027376677"],"abstract_inverted_index":{"Nanoscale-modulated":[0],"nematic":[1,25,56,62,70,92],"phases":[2],"formed":[3],"by":[4,73],"bent-core":[5],"and":[6,163,168,197],"dimeric":[7],"molecules":[8],"raise":[9],"the":[10,60,67,74,90,116,125,131,135,138,150,155,164,171,185,193],"question":[11],"of":[12,89,103,115,124,154],"how":[13,170],"a":[14,32,38,45,53,104,181],"new":[15],"periodic":[16],"structure":[17],"can":[18],"emerge":[19],"within":[20],"an":[21,86],"already":[22],"orientationally":[23],"ordered":[24],"state.":[26,140],"In":[27],"this":[28],"note":[29],"we":[30],"discuss":[31,160],"Landau":[33],"phenomenological":[34,182],"interpretation":[35],"in":[36,147],"which":[37],"short-range":[39,118],"orientational":[40],"order":[41,107,119,195],"parameter":[42,196],"condenses":[43],"at":[44],"finite":[46],"wave":[47],"vector.":[48],"The":[49,79,109,141],"resulting":[50,142],"state":[51],"is":[52,81,85,112,145],"helicoidal,":[54],"nanoscale-modulated":[55,139],"associated":[57,165],"here":[58],"with":[59,66],"polar-twisted":[61],"(NPT),":[63],"rather":[64,121],"than":[65,122],"macroscopic":[68,95,188],"twist\u2013bend":[69],"(NTB)":[71],"proposed":[72],"late":[75],"R.":[76],"B.":[77],"Meyer.":[78],"distinction":[80],"essential:":[82],"Meyer\u2019s":[83],"NTB":[84,189],"elasticity-based":[87],"modulation":[88,102],"apolar":[91],"director":[93],"on":[94],"length":[96,198],"scales,":[97],"whereas":[98],"NPT":[99],"describes":[100],"molecular-scale":[101],"locally":[105],"polar":[106],"parameter.":[108],"central":[110],"idea":[111],"that":[113,192],"condensation":[114,174],"additional":[117],"parameter,":[120],"softening":[123],"conventional":[126],"Frank":[127],"elasticity":[128],"itself,":[129],"provides":[130],"primary":[132],"mechanism":[133],"for":[134],"transition":[136],"to":[137,149],"finite-wave-vector":[143,173],"ordering":[144],"analogous":[146],"spirit":[148],"de":[151],"Gennes":[152],"description":[153],"nematic\u2013smectic-A":[156],"transition.":[157],"We":[158],"further":[159],"fluctuation":[161],"effects":[162],"Goldstone":[166],"mode,":[167],"indicate":[169],"same":[172],"framework":[175],"may":[176],"also":[177],"be":[178],"viewed":[179],"as":[180],"route":[183],"toward":[184],"theoretically":[186],"predicted":[187],"state,":[190],"provided":[191],"relevant":[194],"scale":[199],"are":[200],"changed.":[201]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-09-10T00:00:00"}
