{"id":"https://openalex.org/W2939965333","doi":"https://doi.org/10.1137/19m1257305","title":"Variational Analysis of a Two-Dimensional Frustrated Spin System: Emergence and Rigidity of Chirality Transitions","display_name":"Variational Analysis of a Two-Dimensional Frustrated Spin System: Emergence and Rigidity of Chirality Transitions","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2939965333","doi":"https://doi.org/10.1137/19m1257305","mag":"2939965333"},"language":"en","primary_location":{"id":"doi:10.1137/19m1257305","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1257305","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1904.07792","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011286546","display_name":"Marco Cicalese","orcid":"https://orcid.org/0000-0003-3650-4078"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Marco Cicalese","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064641053","display_name":"Marwin Forster","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Marwin Forster","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5077087790","display_name":"Gianluca Orlando","orcid":"https://orcid.org/0000-0002-8283-4804"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gianluca Orlando","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-8283-4804","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5011286546"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3528,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.59022725,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"51","issue":"6","first_page":"4848","last_page":"4893"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9987000226974487,"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/T10591","display_name":"Theoretical and Computational Physics","score":0.9987000226974487,"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/T10194","display_name":"Nonlinear Partial Differential Equations","score":0.9768000245094299,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12100","display_name":"Advanced Mathematical Modeling in Engineering","score":0.9745000004768372,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/rigidity","display_name":"Rigidity (electromagnetism)","score":0.7165119647979736},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.623909592628479},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.6202453970909119},{"id":"https://openalex.org/keywords/square-lattice","display_name":"Square lattice","score":0.5598416924476624},{"id":"https://openalex.org/keywords/phase-transition","display_name":"Phase transition","score":0.5256791710853577},{"id":"https://openalex.org/keywords/ferromagnetism","display_name":"Ferromagnetism","score":0.48143455386161804},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.48085030913352966},{"id":"https://openalex.org/keywords/chirality","display_name":"Chirality (physics)","score":0.46652278304100037},{"id":"https://openalex.org/keywords/thermodynamic-limit","display_name":"Thermodynamic limit","score":0.4482005536556244},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.33315205574035645},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.28031423687934875},{"id":"https://openalex.org/keywords/ising-model","display_name":"Ising model","score":0.12307462096214294}],"concepts":[{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.7165119647979736},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.623909592628479},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6202453970909119},{"id":"https://openalex.org/C2777620828","wikidata":"https://www.wikidata.org/wiki/Q7582067","display_name":"Square lattice","level":3,"score":0.5598416924476624},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.5256791710853577},{"id":"https://openalex.org/C82217956","wikidata":"https://www.wikidata.org/wiki/Q184207","display_name":"Ferromagnetism","level":2,"score":0.48143455386161804},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.48085030913352966},{"id":"https://openalex.org/C124668440","wikidata":"https://www.wikidata.org/wiki/Q2305173","display_name":"Chirality (physics)","level":5,"score":0.46652278304100037},{"id":"https://openalex.org/C54021167","wikidata":"https://www.wikidata.org/wiki/Q1103484","display_name":"Thermodynamic limit","level":2,"score":0.4482005536556244},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.33315205574035645},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.28031423687934875},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.12307462096214294},{"id":"https://openalex.org/C52703039","wikidata":"https://www.wikidata.org/wiki/Q5101837","display_name":"Chiral symmetry breaking","level":3,"score":0.0},{"id":"https://openalex.org/C7602139","wikidata":"https://www.wikidata.org/wiki/Q6718","display_name":"Quark","level":2,"score":0.0},{"id":"https://openalex.org/C20621625","wikidata":"https://www.wikidata.org/wiki/Q6961432","display_name":"Nambu\u2013Jona-Lasinio model","level":4,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/19m1257305","is_oa":false,"landing_page_url":"https://doi.org/10.1137/19m1257305","pdf_url":null,"source":{"id":"https://openalex.org/S74141806","display_name":"SIAM Journal on Mathematical Analysis","issn_l":"0036-1410","issn":["0036-1410","1095-7154"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Mathematical Analysis","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1904.07792","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1904.07792","pdf_url":"https://arxiv.org/pdf/1904.07792","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"mag:2939965333","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1904.07792","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1904.07792","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1904.07792","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1904.07792","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1904.07792","pdf_url":"https://arxiv.org/pdf/1904.07792","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6773318802","display_name":null,"funder_award_id":"TRR 109","funder_id":"https://openalex.org/F4320320879","funder_display_name":"Deutsche Forschungsgemeinschaft"}],"funders":[{"id":"https://openalex.org/F4320308269","display_name":"Alexander von Humboldt-Stiftung","ror":"https://ror.org/012kf4317"},{"id":"https://openalex.org/F4320320879","display_name":"Deutsche Forschungsgemeinschaft","ror":"https://ror.org/018mejw64"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2939965333.pdf","grobid_xml":"https://content.openalex.org/works/W2939965333.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W585462275","https://openalex.org/W1561352860","https://openalex.org/W1965620463","https://openalex.org/W1969546038","https://openalex.org/W1971988375","https://openalex.org/W1972369472","https://openalex.org/W1976859962","https://openalex.org/W1990541396","https://openalex.org/W1992225844","https://openalex.org/W1998071727","https://openalex.org/W2029180430","https://openalex.org/W2030579135","https://openalex.org/W2032146169","https://openalex.org/W2041985247","https://openalex.org/W2042833347","https://openalex.org/W2054109329","https://openalex.org/W2066202614","https://openalex.org/W2076058492","https://openalex.org/W2086002908","https://openalex.org/W2104128370","https://openalex.org/W2107729689","https://openalex.org/W2318895797","https://openalex.org/W2536780884","https://openalex.org/W2561130723","https://openalex.org/W2574614690","https://openalex.org/W2581985288","https://openalex.org/W2585300264","https://openalex.org/W2586172299","https://openalex.org/W2595348797","https://openalex.org/W2608258593","https://openalex.org/W2610499938","https://openalex.org/W2807809673","https://openalex.org/W2937494803","https://openalex.org/W2963674667","https://openalex.org/W2963695997","https://openalex.org/W3101220530","https://openalex.org/W3103032061","https://openalex.org/W3104652957","https://openalex.org/W3168478707"],"related_works":["https://openalex.org/W2071766486","https://openalex.org/W2063456238","https://openalex.org/W2032977716","https://openalex.org/W2015543456","https://openalex.org/W2080715594","https://openalex.org/W2013335335","https://openalex.org/W2804938051","https://openalex.org/W2306579551","https://openalex.org/W2071008789","https://openalex.org/W2162438576","https://openalex.org/W2801236426","https://openalex.org/W2963232992","https://openalex.org/W2078486094","https://openalex.org/W1971626846","https://openalex.org/W2082021142","https://openalex.org/W2896228151","https://openalex.org/W2559341936","https://openalex.org/W1642281862","https://openalex.org/W3101809415","https://openalex.org/W2791255128"],"abstract_inverted_index":{"We":[0],"study":[1],"the":[2,7,12,16,19,24,30,37,41,45,49],"discrete-to-continuum":[3],"variational":[4],"limit":[5],"of":[6,18,33,36,48],"$J_{1}$-$J_{3}$":[8],"spin":[9],"model":[10],"on":[11],"square":[13],"lattice":[14,25],"in":[15],"vicinity":[17],"ferromagnet/helimagnet":[20],"transition":[21],"point":[22],"as":[23],"spacing":[26],"vanishes.":[27],"Carrying":[28],"out":[29],"$\\Gamma$-convergence":[31],"analysis":[32],"proper":[34],"scalings":[35],"energy,":[38],"we":[39],"prove":[40],"emergence":[42],"and":[43],"characterize":[44],"geometric":[46],"rigidity":[47],"chirality":[50],"phase":[51],"transitions.":[52]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
