{"id":"https://openalex.org/W7224774372","doi":"https://doi.org/10.48550/arxiv.2610.39929","title":"Ensemble-dependent effect of disorder on multicritical points in a system with long-range interactions","display_name":"Ensemble-dependent effect of disorder on multicritical points in a system with long-range interactions","publication_year":2026,"publication_date":"2026-10-29","ids":{"openalex":"https://openalex.org/W7224774372","doi":"https://doi.org/10.48550/arxiv.2610.39929"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.39929","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.39929","pdf_url":"https://arxiv.org/pdf/2610.39929","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"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.39929","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5000669398","display_name":"Nir Schreiber","orcid":"https://orcid.org/0000-0002-1774-2209","observed_orcids":["https://orcid.org/0000-0002-1774-2209"]},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Schreiber, Nir","raw_affiliation_strings":["Department of Mathematics , Bar Ilan University , Ramat Gan , Israel 5290002"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Bar Ilan University , Ramat Gan , Israel 5290002","institution_ids":["https://openalex.org/I13955877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102818883","display_name":"Reuven Cohen","orcid":"https://orcid.org/0000-0001-9189-4107","observed_orcids":["https://orcid.org/0000-0001-9189-4107"]},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Cohen, Reuven","raw_affiliation_strings":["Department of Mathematics , Bar Ilan University , Ramat Gan , Israel 5290002"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics , Bar Ilan University , Ramat Gan , Israel 5290002","institution_ids":["https://openalex.org/I13955877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I13955877"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9984999895095825,"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":0.9984999895095825,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.0003000000142492354,"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"}},{"id":"https://openalex.org/T11804","display_name":"Quantum many-body systems","score":0.0003000000142492354,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/blume-emery-griffiths-model","display_name":"Blume-Emery-Griffiths model","score":0.9649999737739563},{"id":"https://openalex.org/keywords/long-range-interactions","display_name":"long-range interactions","score":0.9309999942779541},{"id":"https://openalex.org/keywords/quenched-disorder","display_name":"quenched disorder","score":0.9869999885559082},{"id":"https://openalex.org/keywords/ensemble-inequivalence","display_name":"ensemble inequivalence","score":0.8980000019073486},{"id":"https://openalex.org/keywords/microcanonical-ensemble","display_name":"microcanonical ensemble","score":0.9089999794960022},{"id":"https://openalex.org/keywords/canonical-ensemble","display_name":"canonical ensemble","score":0.9990000128746033},{"id":"https://openalex.org/keywords/multicritical-point","display_name":"multicritical point","score":0.8730000257492065},{"id":"https://openalex.org/keywords/tricritical-point","display_name":"tricritical point","score":0.9789999723434448},{"id":"https://openalex.org/keywords/critical-endpoint","display_name":"critical end point","score":0.8370000123977661},{"id":"https://openalex.org/keywords/entropy-gap","display_name":"entropy gap","score":0.7739999890327454},{"id":"https://openalex.org/keywords/mean-field-hamiltonian","display_name":"mean-field Hamiltonian","score":0.6029999852180481},{"id":"https://openalex.org/keywords/free-energy","display_name":"free energy","score":0.5659999847412109}],"concepts":[{"id":"https://openalex.org/C28556851","wikidata":"https://www.wikidata.org/wiki/Q1077753","display_name":"Canonical ensemble","level":3,"score":0.8046000003814697},{"id":"https://openalex.org/C101683677","wikidata":"https://www.wikidata.org/wiki/Q1077769","display_name":"Microcanonical ensemble","level":4,"score":0.7964000105857849},{"id":"https://openalex.org/C43933239","wikidata":"https://www.wikidata.org/wiki/Q917476","display_name":"Thermodynamic beta","level":5,"score":0.6338000297546387},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5407000184059143},{"id":"https://openalex.org/C196093604","wikidata":"https://www.wikidata.org/wiki/Q6934620","display_name":"Multicritical point","level":4,"score":0.4749000072479248},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.4706000089645386},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4700999855995178},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.45210000872612},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.43309998512268066},{"id":"https://openalex.org/C196298200","wikidata":"https://www.wikidata.org/wiki/Q577705","display_name":"Critical point (mathematics)","level":2,"score":0.34929999709129333},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.3424000144004822},{"id":"https://openalex.org/C50311922","wikidata":"https://www.wikidata.org/wiki/Q898535","display_name":"Statistical ensemble","level":4,"score":0.33059999346733093},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.3124000132083893},{"id":"https://openalex.org/C85906118","wikidata":"https://www.wikidata.org/wiki/Q186693","display_name":"Phase diagram","level":3,"score":0.31189998984336853},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.31049999594688416},{"id":"https://openalex.org/C124589349","wikidata":"https://www.wikidata.org/wiki/Q3726376","display_name":"Configuration entropy","level":2,"score":0.27970001101493835},{"id":"https://openalex.org/C134121241","wikidata":"https://www.wikidata.org/wiki/Q899301","display_name":"Yield (engineering)","level":2,"score":0.27379998564720154},{"id":"https://openalex.org/C29235156","wikidata":"https://www.wikidata.org/wiki/Q1153553","display_name":"Grand canonical ensemble","level":3,"score":0.27230000495910645},{"id":"https://openalex.org/C51865526","wikidata":"https://www.wikidata.org/wiki/Q5379962","display_name":"Ensemble average","level":2,"score":0.2653000056743622},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25589999556541443},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.2556999921798706},{"id":"https://openalex.org/C2778401447","wikidata":"https://www.wikidata.org/wiki/Q7140637","display_name":"Partition function (quantum field theory)","level":2,"score":0.2531000077724457}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.39929","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.39929","pdf_url":"https://arxiv.org/pdf/2610.39929","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.2610.39929","doi":"https://doi.org/10.48550/arxiv.2610.39929","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.39929","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":"pmh:oai:arXiv.org:2610.39929","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.39929","pdf_url":"https://arxiv.org/pdf/2610.39929","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"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7224774372.pdf","grobid_xml":"https://content.openalex.org/works/W7224774372.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2052646173","https://openalex.org/W2743283387","https://openalex.org/W1524499514","https://openalex.org/W7098470014","https://openalex.org/W4406117292","https://openalex.org/W3187182048","https://openalex.org/W2567482119","https://openalex.org/W4385810925","https://openalex.org/W2969921122","https://openalex.org/W2164320708"],"abstract_inverted_index":{"We":[0,99],"introduce":[1],"two":[2,17,62],"variants":[3,18],"of":[4,60,74,104,112,116],"the":[5,16,26,35,42,57,61,65,79,102,107],"Blume--Emery--Griffiths":[6],"model":[7],"with":[8],"long-range,":[9],"mean-field-like":[10],"interactions":[11],"and":[12,39,48,54],"quenched":[13],"disorder.":[14],"Although":[15],"are":[19],"described":[20],"by":[21],"different":[22],"Hamiltonians,":[23],"they":[24,82],"yield":[25],"same":[27,36,43],"free":[28],"energy.":[29],"Moreover,":[30],"both":[31],"Hamiltonians":[32],"lead":[33],"to":[34,41],"average":[37],"energy":[38],"hence":[40],"microcanonical":[44,49,66],"entropy.":[45],"The":[46],"canonical":[47,80,94],"phase":[50],"boundaries":[51],"differ":[52],"markedly,":[53],"so":[55],"does":[56],"multicritical":[58],"behaviour":[59],"ensembles.":[63],"In":[64],"ensemble,":[67],"tricritical":[68],"points":[69],"appear":[70],"for":[71],"any":[72],"fraction":[73,87],"active":[75],"spins,":[76],"whereas":[77],"in":[78,106],"ensemble":[81,117],"emerge":[83],"only":[84],"when":[85],"this":[86],"is":[88],"sufficiently":[89],"large.":[90],"At":[91],"lower":[92],"fractions,":[93],"critical":[95],"endpoints":[96],"arise":[97],"instead.":[98],"also":[100],"report":[101],"formation":[103],"gaps":[105],"entropy":[108],"as":[109],"a":[110],"function":[111],"magnetization,":[113],"another":[114],"manifestation":[115],"inequivalence.":[118]},"counts_by_year":[],"updated_date":"2026-11-02T09:45:03.842371","created_date":"2026-10-31T00:00:00"}
