{"id":"https://openalex.org/W4409868331","doi":"https://doi.org/10.17537/2025.20.t13","title":"On the Thermalization of One-Dimensional lattices. II. Canonical Ensemble","display_name":"On the Thermalization of One-Dimensional lattices. II. Canonical Ensemble","publication_year":2025,"publication_date":"2025-04-25","ids":{"openalex":"https://openalex.org/W4409868331","doi":"https://doi.org/10.17537/2025.20.t13"},"language":"en","primary_location":{"id":"doi:10.17537/2025.20.t13","doi":"https://doi.org/10.17537/2025.20.t13","is_oa":true,"landing_page_url":"https://doi.org/10.17537/2025.20.t13","pdf_url":"https://www.matbio.org/article_pdf.php?id=599","source":{"id":"https://openalex.org/S2764758691","display_name":"Mathematical Biology and Bioinformatics","issn_l":"1994-6538","issn":["1994-6538"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Biology and Bioinformatics","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.matbio.org/article_pdf.php?id=599","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013678122","display_name":"George A Vinogradov","orcid":"https://orcid.org/0000-0001-7028-465X","observed_orcids":["https://orcid.org/0000-0001-7028-465X"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"G.A. Vinogradov","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5037321818","display_name":"V.D. Lakhno","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"V.D. Lakhno","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0468362,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"20","issue":"Suppl.","first_page":"t13","last_page":"t26"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.48190000653266907,"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"}},"topics":[{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.48190000653266907,"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/T11565","display_name":"Thermoelastic and Magnetoelastic Phenomena","score":0.06960000097751617,"subfield":{"id":"https://openalex.org/subfields/2211","display_name":"Mechanics of Materials"},"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.05000000074505806,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/thermalization","display_name":"thermalization","score":0.9900000095367432},{"id":"https://openalex.org/keywords/one-dimensional-lattice","display_name":"one-dimensional lattice","score":0.9890000224113464},{"id":"https://openalex.org/keywords/canonical-ensemble","display_name":"canonical ensemble","score":0.9950000047683716},{"id":"https://openalex.org/keywords/statistical-mechanics","display_name":"statistical mechanics","score":0.6299999952316284},{"id":"https://openalex.org/keywords/lattice-dynamics","display_name":"lattice dynamics","score":0.5379999876022339}],"concepts":[{"id":"https://openalex.org/C15359245","wikidata":"https://www.wikidata.org/wiki/Q1347805","display_name":"Thermalisation","level":2,"score":0.7403577566146851},{"id":"https://openalex.org/C28556851","wikidata":"https://www.wikidata.org/wiki/Q1077753","display_name":"Canonical ensemble","level":3,"score":0.6567838191986084},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4923809766769409},{"id":"https://openalex.org/C3018844941","wikidata":"https://www.wikidata.org/wiki/Q6718887","display_name":"Non canonical","level":2,"score":0.4190797209739685},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39958009123802185},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.39878344535827637},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.38811036944389343},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3472024202346802},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.17276692390441895},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09086686372756958},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.07717859745025635},{"id":"https://openalex.org/C95444343","wikidata":"https://www.wikidata.org/wiki/Q7141","display_name":"Cell biology","level":1,"score":0.0},{"id":"https://openalex.org/C19499675","wikidata":"https://www.wikidata.org/wiki/Q232207","display_name":"Monte Carlo method","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.17537/2025.20.t13","doi":"https://doi.org/10.17537/2025.20.t13","is_oa":true,"landing_page_url":"https://doi.org/10.17537/2025.20.t13","pdf_url":"https://www.matbio.org/article_pdf.php?id=599","source":{"id":"https://openalex.org/S2764758691","display_name":"Mathematical Biology and Bioinformatics","issn_l":"1994-6538","issn":["1994-6538"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Biology and Bioinformatics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.17537/2025.20.t13","doi":"https://doi.org/10.17537/2025.20.t13","is_oa":true,"landing_page_url":"https://doi.org/10.17537/2025.20.t13","pdf_url":"https://www.matbio.org/article_pdf.php?id=599","source":{"id":"https://openalex.org/S2764758691","display_name":"Mathematical Biology and Bioinformatics","issn_l":"1994-6538","issn":["1994-6538"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Biology and Bioinformatics","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[{"display_name":"Sustainable cities and communities","score":0.6200000047683716,"id":"https://metadata.un.org/sdg/11"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4409868331.pdf","grobid_xml":"https://content.openalex.org/works/W4409868331.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3096082195","https://openalex.org/W2072881373","https://openalex.org/W66511788","https://openalex.org/W2786740239","https://openalex.org/W2100644902","https://openalex.org/W3098826176","https://openalex.org/W2064976117","https://openalex.org/W2113622308","https://openalex.org/W2006287595","https://openalex.org/W4361268582"],"abstract_inverted_index":{"==================\u041c\u0410\u0422\u0415\u041c\u0410\u0422\u0418\u0427\u0415\u0421\u041a\u041e\u0415":[0],"\u041c\u041e\u0414\u0415\u041b\u0418\u0420\u041e\u0412\u0410\u041d\u0418\u0415":[1],"=================":[2],"\u041e":[3],"\u0442\u0435\u0440\u043c\u0430\u043b\u0438\u0437\u0430\u0446\u0438\u0438":[4],"\u043e\u0434\u043d\u043e\u043c\u0435\u0440\u043d\u044b\u0445":[5],"\u0440\u0435\u0448\u0435\u0442\u043e\u043a.II.\u041a\u0430\u043d\u043e\u043d\u0438\u0447\u0435\u0441\u043a\u0438\u0439":[6],"\u0430\u043d\u0441\u0430\u043c\u0431\u043b\u044c":[7],"\u0412\u0438\u043d\u043e\u0433\u0440\u0430\u0434\u043e\u0432":[8],"\u0413.\u0410.*":[9],"1":[10],",":[11],"\u041b\u0430\u0445\u043d\u043e":[12],"\u0412":[13]},"counts_by_year":[],"updated_date":"2026-09-22T06:50:58.402377","created_date":"2025-10-10T00:00:00"}
