{"id":"https://openalex.org/W7127076151","doi":"https://doi.org/10.1134/s1062873825714655","title":"Exact Solution for One-Dimensional Spin Models with Markov Property","display_name":"Exact Solution for One-Dimensional Spin Models with Markov Property","publication_year":2025,"publication_date":"2025-12-01","ids":{"openalex":"https://openalex.org/W7127076151","doi":"https://doi.org/10.1134/s1062873825714655"},"language":"en","primary_location":{"id":"doi:10.1134/s1062873825714655","doi":"https://doi.org/10.1134/s1062873825714655","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s1062873825714655","pdf_url":null,"source":{"id":"https://openalex.org/S138373423","display_name":"Bulletin of the Russian Academy of Sciences Physics","issn_l":"1062-8738","issn":["1062-8738","1934-9432"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1","poland-40","russia-white-list-3"],"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bulletin of the Russian Academy of Sciences: Physics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2511.22216","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002982407","display_name":"Yu. D. Panov","orcid":"https://orcid.org/0000-0001-5751-2400","observed_orcids":["https://orcid.org/0000-0001-5751-2400"]},"institutions":[{"id":"https://openalex.org/I130823665","display_name":"Ural Federal University","ror":"https://ror.org/00hs7dr46","country_code":"RU","type":"education","lineage":["https://openalex.org/I130823665"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Yu. D. Panov","raw_affiliation_strings":["Ural Federal University, 620002, Yekaterinburg, Russia"],"raw_orcid":"https://orcid.org/0000-0001-5751-2400","affiliations":[{"raw_affiliation_string":"Ural Federal University, 620002, Yekaterinburg, Russia","institution_ids":["https://openalex.org/I130823665"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5002982407"],"corresponding_institution_ids":["https://openalex.org/I130823665"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.3202562,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"89","issue":"S3","first_page":"S364","last_page":"S367"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.9932000041007996,"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":0.9932000041007996,"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/T11804","display_name":"Quantum many-body systems","score":0.0020000000949949026,"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"}},{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.001500000013038516,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/spin-chains","display_name":"spin chains","score":0.9430000185966492},{"id":"https://openalex.org/keywords/pseudospin-model","display_name":"pseudospin model","score":0.8809999823570251},{"id":"https://openalex.org/keywords/free-energy","display_name":"free energy","score":0.8360000252723694},{"id":"https://openalex.org/keywords/exact-solutions","display_name":"exact solutions","score":0.906000018119812},{"id":"https://openalex.org/keywords/finite-temperature","display_name":"finite temperature","score":0.8870000243186951}],"concepts":[{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.7527999877929688},{"id":"https://openalex.org/C520416788","wikidata":"https://www.wikidata.org/wiki/Q5419229","display_name":"Exact solutions in general relativity","level":2,"score":0.7260000109672546},{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.7178000211715698},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.6287999749183655},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6154999732971191},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.5594000220298767},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.5539000034332275},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5331000089645386},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.43700000643730164},{"id":"https://openalex.org/C199185054","wikidata":"https://www.wikidata.org/wiki/Q552299","display_name":"Chain (unit)","level":2,"score":0.3677999973297119},{"id":"https://openalex.org/C71987851","wikidata":"https://www.wikidata.org/wiki/Q7216430","display_name":"Impurity","level":2,"score":0.3495999872684479},{"id":"https://openalex.org/C19694890","wikidata":"https://www.wikidata.org/wiki/Q101667","display_name":"Hadron","level":2,"score":0.3368000090122223},{"id":"https://openalex.org/C123122884","wikidata":"https://www.wikidata.org/wiki/Q371730","display_name":"Well-defined","level":2,"score":0.3231000006198883},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3230000138282776},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.32249999046325684},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.2980000078678131},{"id":"https://openalex.org/C2992371110","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising spin","level":3,"score":0.2888000011444092},{"id":"https://openalex.org/C189973286","wikidata":"https://www.wikidata.org/wiki/Q176695","display_name":"Markov property","level":4,"score":0.2847000062465668},{"id":"https://openalex.org/C3020065929","wikidata":"https://www.wikidata.org/wiki/Q11379","display_name":"Total energy","level":3,"score":0.2840999960899353},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.28360000252723694},{"id":"https://openalex.org/C99874945","wikidata":"https://www.wikidata.org/wiki/Q188715","display_name":"Statistical mechanics","level":2,"score":0.2824999988079071},{"id":"https://openalex.org/C163836022","wikidata":"https://www.wikidata.org/wiki/Q6771326","display_name":"Markov model","level":3,"score":0.2802000045776367},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.2630999982357025},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.2615000009536743},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.25040000677108765}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1134/s1062873825714655","doi":"https://doi.org/10.1134/s1062873825714655","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s1062873825714655","pdf_url":null,"source":{"id":"https://openalex.org/S138373423","display_name":"Bulletin of the Russian Academy of Sciences Physics","issn_l":"1062-8738","issn":["1062-8738","1934-9432"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":["jufo-1","poland-40","russia-white-list-3"],"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Bulletin of the Russian Academy of Sciences: Physics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2511.22216","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2511.22216","pdf_url":"https://arxiv.org/pdf/2511.22216","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.2511.22216","doi":"https://doi.org/10.48550/arxiv.2511.22216","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2511.22216","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2511.22216","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2511.22216","pdf_url":"https://arxiv.org/pdf/2511.22216","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":[],"sustainable_development_goals_aurora":[{"display_name":"Affordable and clean energy","score":0.8900935053825378,"id":"https://metadata.un.org/sdg/7"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1507653385","https://openalex.org/W3041941121","https://openalex.org/W3090888052","https://openalex.org/W4221085965","https://openalex.org/W4308207627","https://openalex.org/W4387956674","https://openalex.org/W4391157559","https://openalex.org/W4403391824","https://openalex.org/W4403451654"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"For":[1],"one-dimensional":[2],"spin":[3],"and":[4],"pseudospin":[5],"models":[6],"that":[7],"allow":[8],"mapping":[9],"to":[10,40],"a":[11,21,46],"Markov":[12],"chain,":[13],"the":[14,18,33],"free":[15,34],"energy":[16,35],"of":[17,29,45],"system":[19],"at":[20],"finite":[22],"temperature":[23],"can":[24],"be":[25],"expressed":[26],"in":[27],"terms":[28],"bond":[30],"concentrations.":[31],"Minimizing":[32],"function":[36],"makes":[37],"it":[38],"possible":[39],"obtain":[41],"an":[42,59],"exact":[43],"solution":[44],"statistical":[47],"model.":[48],"A":[49],"dilute":[50],"Ising":[51],"chain":[52],"with":[53],"interacting":[54],"impurities":[55],"is":[56],"considered":[57],"as":[58],"example.":[60]},"counts_by_year":[],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2026-02-03T00:00:00"}