Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2984577500', 'doi': 'https://doi.org/10.1103/physreve.101.022111', 'title': 'Partial equivalence of statistical ensembles in a simple spin model with discontinuous phase transitions', 'display_name': 'Partial equivalence of statistical ensembles in a simple spin model with discontinuous phase transitions', 'publication_year': 2020, 'publication_date': '2020-02-10', 'ids': {'openalex': 'https://openalex.org/W2984577500', 'doi': 'https://doi.org/10.1103/physreve.101.022111', 'mag': '2984577500', 'pmid': 'https://pubmed.ncbi.nlm.nih.gov/32168570'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1103/physreve.101.022111', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210235286', 'display_name': 'Physical review. E', 'issn_l': '2470-0045', 'issn': ['2470-0045', '2470-0053', '2470-0061'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320261', 'host_organization_name': 'American Physical Society', 'host_organization_lineage': ['https://openalex.org/P4310320261'], 'host_organization_lineage_names': ['American Physical Society'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['arxiv', 'crossref', 'datacite', 'pubmed'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'http://arxiv.org/pdf/1911.00287', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5000314333', 'display_name': 'Agata Fronczak', 'orcid': 'https://orcid.org/0000-0002-4301-3288'}, 'institutions': [{'id': 'https://openalex.org/I108403487', 'display_name': 'Warsaw University of Technology', 'ror': 'https://ror.org/00y0xnp53', 'country_code': 'PL', 'type': 'education', 'lineage': ['https://openalex.org/I108403487']}], 'countries': ['PL'], 'is_corresponding': False, 'raw_author_name': 'Agata Fronczak', 'raw_affiliation_strings': ['Faculty of Physics, Warsaw University of Technology, Koszykowa 75, PL-00-662 Warsaw, Poland'], 'affiliations': [{'raw_affiliation_string': 'Faculty of Physics, Warsaw University of Technology, Koszykowa 75, PL-00-662 Warsaw, Poland', 'institution_ids': ['https://openalex.org/I108403487']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5007475743', 'display_name': 'Piotr Fronczak', 'orcid': 'https://orcid.org/0000-0003-4452-9718'}, 'institutions': [{'id': 'https://openalex.org/I108403487', 'display_name': 'Warsaw University of Technology', 'ror': 'https://ror.org/00y0xnp53', 'country_code': 'PL', 'type': 'education', 'lineage': ['https://openalex.org/I108403487']}], 'countries': ['PL'], 'is_corresponding': False, 'raw_author_name': 'Piotr Fronczak', 'raw_affiliation_strings': ['Faculty of Physics, Warsaw University of Technology, Koszykowa 75, PL-00-662 Warsaw, Poland'], 'affiliations': [{'raw_affiliation_string': 'Faculty of Physics, Warsaw University of Technology, Koszykowa 75, PL-00-662 Warsaw, Poland', 'institution_ids': ['https://openalex.org/I108403487']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5036459769', 'display_name': 'Grzegorz Siudem', 'orcid': 'https://orcid.org/0000-0002-9391-6477'}, 'institutions': [{'id': 'https://openalex.org/I108403487', 'display_name': 'Warsaw University of Technology', 'ror': 'https://ror.org/00y0xnp53', 'country_code': 'PL', 'type': 'education', 'lineage': ['https://openalex.org/I108403487']}], 'countries': ['PL'], 'is_corresponding': False, 'raw_author_name': 'Grzegorz Siudem', 'raw_affiliation_strings': ['Faculty of Physics, Warsaw University of Technology, Koszykowa 75, PL-00-662 Warsaw, Poland'], 'affiliations': [{'raw_affiliation_string': 'Faculty of Physics, Warsaw University of Technology, Koszykowa 75, PL-00-662 Warsaw, Poland', 'institution_ids': ['https://openalex.org/I108403487']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.206, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 2, 'citation_normalized_percentile': {'value': 0.327258, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 69, 'max': 73}, 'biblio': {'volume': '101', 'issue': '2', 'first_page': None, 'last_page': None}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12261', 'display_name': 'Statistical Mechanics and Entropy', 'score': 0.9999, '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/T12261', 'display_name': 'Statistical Mechanics and Entropy', 'score': 0.9999, '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/T11520', 'display_name': 'Advanced Thermodynamics and Statistical Mechanics', 'score': 0.999, '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/T11270', 'display_name': 'Complex Systems and Time Series Analysis', 'score': 0.9964, 'subfield': {'id': 'https://openalex.org/subfields/2002', 'display_name': 'Economics and Econometrics'}, 'field': {'id': 'https://openalex.org/fields/20', 'display_name': 'Economics, Econometrics and Finance'}, 'domain': {'id': 'https://openalex.org/domains/2', 'display_name': 'Social Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/microcanonical-ensemble', 'display_name': 'Microcanonical ensemble', 'score': 0.9262916}, {'id': 'https://openalex.org/keywords/thermodynamic-limit', 'display_name': 'Thermodynamic limit', 'score': 0.6562961}, {'id': 'https://openalex.org/keywords/grand-canonical-ensemble', 'display_name': 'Grand canonical ensemble', 'score': 0.6392561}, {'id': 'https://openalex.org/keywords/statistical-mechanics', 'display_name': 'Statistical Mechanics', 'score': 0.59512216}, {'id': 'https://openalex.org/keywords/statistical-ensemble', 'display_name': 'Statistical ensemble', 'score': 0.56770724}, {'id': 'https://openalex.org/keywords/spin-model', 'display_name': 'Spin model', 'score': 0.44079646}], 'concepts': [{'id': 'https://openalex.org/C101683677', 'wikidata': 'https://www.wikidata.org/wiki/Q1077769', 'display_name': 'Microcanonical ensemble', 'level': 4, 'score': 0.9262916}, {'id': 'https://openalex.org/C28556851', 'wikidata': 'https://www.wikidata.org/wiki/Q1077753', 'display_name': 'Canonical ensemble', 'level': 3, 'score': 0.8082882}, {'id': 'https://openalex.org/C121864883', 'wikidata': 'https://www.wikidata.org/wiki/Q677916', 'display_name': 'Statistical physics', 'level': 1, 'score': 0.701401}, {'id': 'https://openalex.org/C149288129', 'wikidata': 'https://www.wikidata.org/wiki/Q185357', 'display_name': 'Phase transition', 'level': 2, 'score': 0.6792792}, {'id': 'https://openalex.org/C54021167', 'wikidata': 'https://www.wikidata.org/wiki/Q1103484', 'display_name': 'Thermodynamic limit', 'level': 2, 'score': 0.6562961}, {'id': 'https://openalex.org/C29235156', 'wikidata': 'https://www.wikidata.org/wiki/Q1153553', 'display_name': 'Grand canonical ensemble', 'level': 3, 'score': 0.6392561}, {'id': 'https://openalex.org/C99874945', 'wikidata': 'https://www.wikidata.org/wiki/Q188715', 'display_name': 'Statistical mechanics', 'level': 2, 'score': 0.59512216}, {'id': 'https://openalex.org/C50311922', 'wikidata': 'https://www.wikidata.org/wiki/Q898535', 'display_name': 'Statistical ensemble', 'level': 4, 'score': 0.56770724}, {'id': 'https://openalex.org/C2778870898', 'wikidata': 'https://www.wikidata.org/wiki/Q7577658', 'display_name': 'Spins', 'level': 2, 'score': 0.49840474}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.47101793}, {'id': 'https://openalex.org/C106301342', 'wikidata': 'https://www.wikidata.org/wiki/Q4117933', 'display_name': 'Entropy (arrow of time)', 'level': 2, 'score': 0.46185625}, {'id': 'https://openalex.org/C2780198381', 'wikidata': 'https://www.wikidata.org/wiki/Q17083882', 'display_name': 'Spin model', 'level': 2, 'score': 0.44079646}, {'id': 'https://openalex.org/C2780069185', 'wikidata': 'https://www.wikidata.org/wiki/Q7977945', 'display_name': 'Equivalence (formal languages)', 'level': 2, 'score': 0.41558987}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.3276034}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.283004}, {'id': 'https://openalex.org/C26873012', 'wikidata': 'https://www.wikidata.org/wiki/Q214781', 'display_name': 'Condensed matter physics', 'level': 1, 'score': 0.14339572}, {'id': 'https://openalex.org/C19499675', 'wikidata': 'https://www.wikidata.org/wiki/Q232207', 'display_name': 'Monte Carlo method', 'level': 2, 'score': 0.11113998}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.08463889}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 5, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1103/physreve.101.022111', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210235286', 'display_name': 'Physical review. E', 'issn_l': '2470-0045', 'issn': ['2470-0045', '2470-0053', '2470-0061'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310320261', 'host_organization_name': 'American Physical Society', 'host_organization_lineage': ['https://openalex.org/P4310320261'], 'host_organization_lineage_names': ['American Physical Society'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/1911.00287', 'pdf_url': 'http://arxiv.org/pdf/1911.00287', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, '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': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://arxiv.org/abs/1911.00287', 'pdf_url': 'https://arxiv.org/pdf/1911.00287', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, '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': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://pubmed.ncbi.nlm.nih.gov/32168570', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4306525036', 'display_name': 'PubMed', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I1299303238', 'host_organization_name': 'National Institutes of Health', 'host_organization_lineage': ['https://openalex.org/I1299303238'], 'host_organization_lineage_names': ['National Institutes of Health'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': False, 'landing_page_url': 'https://api.datacite.org/dois/10.48550/arxiv.1911.00287', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4393179698', 'display_name': 'DataCite API', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I4210145204', 'host_organization_name': 'DataCite', 'host_organization_lineage': ['https://openalex.org/I4210145204'], 'host_organization_lineage_names': ['DataCite'], 'type': 'metadata'}, 'license': None, 'license_id': None, 'version': None}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'http://arxiv.org/abs/1911.00287', 'pdf_url': 'http://arxiv.org/pdf/1911.00287', 'source': {'id': 'https://openalex.org/S4306400194', 'display_name': 'arXiv (Cornell University)', 'issn_l': None, 'issn': None, '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': ['Cornell University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [{'funder': 'https://openalex.org/F4320322511', 'funder_display_name': 'Narodowe Centrum Nauki', 'award_id': '2015/18/E/ST2/00560'}], 'datasets': [], 'versions': ['https://openalex.org/W2984577500'], 'referenced_works_count': 39, 'referenced_works': ['https://openalex.org/W1514669657', 'https://openalex.org/W1970461722', 'https://openalex.org/W1971154415', 'https://openalex.org/W1972633005', 'https://openalex.org/W1998904626', 'https://openalex.org/W1999378529', 'https://openalex.org/W2001100422', 'https://openalex.org/W2012796346', 'https://openalex.org/W2014262169', 'https://openalex.org/W2041835287', 'https://openalex.org/W2050190202', 'https://openalex.org/W2050747421', 'https://openalex.org/W2052646173', 'https://openalex.org/W2062037745', 'https://openalex.org/W2070899852', 'https://openalex.org/W2082596639', 'https://openalex.org/W2086446268', 'https://openalex.org/W2110558906', 'https://openalex.org/W2127210480', 'https://openalex.org/W2129089772', 'https://openalex.org/W2160769744', 'https://openalex.org/W2185137346', 'https://openalex.org/W2264393412', 'https://openalex.org/W2336229134', 'https://openalex.org/W2480545478', 'https://openalex.org/W2743283387', 'https://openalex.org/W2770373639', 'https://openalex.org/W2883148656', 'https://openalex.org/W2949130971', 'https://openalex.org/W2962929324', 'https://openalex.org/W3101725915', 'https://openalex.org/W3101744948', 'https://openalex.org/W3103120586', 'https://openalex.org/W3103774624', 'https://openalex.org/W4229869748', 'https://openalex.org/W4234588536', 'https://openalex.org/W4244461805', 'https://openalex.org/W4301421397', 'https://openalex.org/W638871861'], 'related_works': ['https://openalex.org/W3099266664', 'https://openalex.org/W215622236', 'https://openalex.org/W2138350927', 'https://openalex.org/W2082451203', 'https://openalex.org/W2070218057', 'https://openalex.org/W2065334534', 'https://openalex.org/W2035965523', 'https://openalex.org/W2023796012', 'https://openalex.org/W2011699090', 'https://openalex.org/W1987811899'], 'abstract_inverted_index': {'In': [0, 102, 112, 150], 'this': [1, 152], 'paper,': [2], 'we': [3], 'draw': [4], 'attention': [5], 'to': [6, 41, 90], 'the': [7, 49, 65, 78, 93, 97, 103, 113, 128, 133, 137, 174], 'problem': [8], 'of': [9, 23, 48, 75, 96, 99, 141, 155, 166, 177], 'phase': [10, 58, 167], 'transitions': [11, 59, 168], 'in': [12, 19, 64, 73, 81, 127, 132], 'systems': [13], 'with': [14, 146], 'locally': [15], 'affine': [16], 'microcanonical': [17, 104], 'entropy,': [18], 'which': [20, 120, 159], 'partial': [21], 'equivalence': [22], '(microcanonical': [24], 'and': [25, 68, 125], 'canonical)': [26], 'ensembles': [27, 77], 'is': [28, 107, 140], 'observed.': [29], 'We': [30], 'focus': [31], 'on': [32], 'a': [33, 82], 'very': [34], 'simple': [35], 'spin': [36], 'model,': [37], 'that': [38, 60, 169], 'was': [39], 'shown': [40], 'be': [42], 'an': [43, 163], 'equilibrium': [44], 'statistical': [45], 'mechanics': [46], 'representation': [47], 'biased': [50], 'random': [51], 'walk.': [52], 'The': [53, 86], 'model': [54], 'exhibits': [55], 'interesting': [56, 164], 'discontinuous': [57, 94, 138], 'are': [61, 88, 170], 'simultaneously': [62], 'observed': [63], 'microcanonical,': [66], 'canonical,': [67], 'grand': [69, 134], 'canonical': [70, 114, 135], 'ensemble,': [71, 105, 115, 136], 'although': [72], 'each': [74], 'these': [76, 178], 'transition': [79, 139], 'occurs': [80], 'slightly': [83], 'different': [84], 'way.': [85], 'differences': [87], 'related': [89], 'fluctuations': [91], 'accompanying': [92], 'change': [95], 'number': [98], 'positive': [100], 'spins.': [101], 'there': [106], 'no': [108], 'fluctuation': [109], 'at': [110], 'all.': [111], 'one': [116], 'observes': [117], 'power-law': [118], 'fluctuations,': [119], 'are,': [121], 'however,': [122], 'size': [123], 'dependent': [124], 'disappear': [126], 'thermodynamic': [129], 'limit.': [130], 'Finally,': [131], 'mixed': [142], 'order': [143], '(hybrid)': [144], 'kind': [145], 'diverging': [147], '(critical-like)': [148], 'fluctuations.': [149], 'general,': [151], 'paper': [153], 'consists': [154], 'many': [156], 'small': [157], 'results,': [158], 'together': [160], 'make': [161], 'up': [162], 'example': [165], 'not': [171], 'covered': [172], 'by': [173], 'known': [175], 'classifications': [176], 'phenomena.': [179]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2984577500', 'counts_by_year': [{'year': 2020, 'cited_by_count': 2}], 'updated_date': '2024-12-27T07:24:10.046307', 'created_date': '2019-11-22'}