Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2002260827', 'doi': 'https://doi.org/10.1103/physreve.65.046134', 'title': 'Remarks about the Tsallis formalism', 'display_name': 'Remarks about the Tsallis formalism', 'publication_year': 2002, 'publication_date': '2002-04-08', 'ids': {'openalex': 'https://openalex.org/W2002260827', 'doi': 'https://doi.org/10.1103/physreve.65.046134', 'mag': '2002260827', 'pmid': 'https://pubmed.ncbi.nlm.nih.gov/12005953'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1103/physreve.65.046134', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210224030', 'display_name': 'Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics', 'issn_l': '1063-651X', 'issn': ['1063-651X', '1095-3787', '1538-4519'], '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': 'https://arxiv.org/pdf/cond-mat/0107441', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5037825257', 'display_name': 'L. Velázquez', 'orcid': 'https://orcid.org/0000-0001-6303-9664'}, 'institutions': [{'id': 'https://openalex.org/I186414734', 'display_name': 'University of Pinar del Río', 'ror': 'https://ror.org/007chxf81', 'country_code': 'CU', 'type': 'education', 'lineage': ['https://openalex.org/I186414734']}], 'countries': ['CU'], 'is_corresponding': False, 'raw_author_name': 'L. Velazquez', 'raw_affiliation_strings': ['Departamento de Física, Universidad de Pinar del Río. Martí 270, Esq. 27 de Noviembre, Pinar del Río, Cuba'], 'affiliations': [{'raw_affiliation_string': 'Departamento de Física, Universidad de Pinar del Río. Martí 270, Esq. 27 de Noviembre, Pinar del Río, Cuba', 'institution_ids': ['https://openalex.org/I186414734']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5047926088', 'display_name': 'F. Guzmán', 'orcid': 'https://orcid.org/0000-0002-2915-3612'}, 'institutions': [{'id': 'https://openalex.org/I135038448', 'display_name': 'Higher Institute of Technologies and Applied Sciences', 'ror': 'https://ror.org/03evg0379', 'country_code': 'CU', 'type': 'education', 'lineage': ['https://openalex.org/I135038448']}], 'countries': ['CU'], 'is_corresponding': False, 'raw_author_name': 'F. Guzmán', 'raw_affiliation_strings': ['Instituto Superior de Ciencias y Tecnologias Nucleares'], 'affiliations': [{'raw_affiliation_string': 'Instituto Superior de Ciencias y Tecnologias Nucleares', 'institution_ids': ['https://openalex.org/I135038448']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.425, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 5, 'citation_normalized_percentile': {'value': 0.55876, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 73, 'max': 75}, 'biblio': {'volume': '65', 'issue': '4', '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/T11270', 'display_name': 'Complex Systems and Time Series Analysis', 'score': 0.9528, '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/tsallis-entropy', 'display_name': 'Tsallis entropy', 'score': 0.7528596}, {'id': 'https://openalex.org/keywords/microcanonical-ensemble', 'display_name': 'Microcanonical ensemble', 'score': 0.637367}], 'concepts': [{'id': 'https://openalex.org/C117521176', 'wikidata': 'https://www.wikidata.org/wiki/Q7849341', 'display_name': 'Tsallis entropy', 'level': 3, 'score': 0.7528596}, {'id': 'https://openalex.org/C121864883', 'wikidata': 'https://www.wikidata.org/wiki/Q677916', 'display_name': 'Statistical physics', 'level': 1, 'score': 0.64281094}, {'id': 'https://openalex.org/C101683677', 'wikidata': 'https://www.wikidata.org/wiki/Q1077769', 'display_name': 'Microcanonical ensemble', 'level': 4, 'score': 0.637367}, {'id': 'https://openalex.org/C99844830', 'wikidata': 'https://www.wikidata.org/wiki/Q102441924', 'display_name': 'Scaling', 'level': 2, 'score': 0.5627928}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.5421934}, {'id': 'https://openalex.org/C2780056601', 'wikidata': 'https://www.wikidata.org/wiki/Q7849339', 'display_name': 'Tsallis statistics', 'level': 2, 'score': 0.5330521}, {'id': 'https://openalex.org/C28556851', 'wikidata': 'https://www.wikidata.org/wiki/Q1077753', 'display_name': 'Canonical ensemble', 'level': 3, 'score': 0.4490583}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.24009085}, {'id': 'https://openalex.org/C19499675', 'wikidata': 'https://www.wikidata.org/wiki/Q232207', 'display_name': 'Monte Carlo method', 'level': 2, 'score': 0.16616645}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.14065972}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.077922374}], 'mesh': [], 'locations_count': 5, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1103/physreve.65.046134', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210224030', 'display_name': 'Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics', 'issn_l': '1063-651X', 'issn': ['1063-651X', '1095-3787', '1538-4519'], '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': 'https://arxiv.org/abs/cond-mat/0107441', 'pdf_url': 'https://arxiv.org/pdf/cond-mat/0107441', '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': 'http://arxiv.org/abs/cond-mat/0107441', 'pdf_url': 'http://arxiv.org/pdf/cond-mat/0107441', '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/12005953', '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.cond-mat/0107441', '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': 'https://arxiv.org/abs/cond-mat/0107441', 'pdf_url': 'https://arxiv.org/pdf/cond-mat/0107441', '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': [], 'datasets': [], 'versions': ['https://openalex.org/W2002260827'], 'referenced_works_count': 38, 'referenced_works': ['https://openalex.org/W1481324663', 'https://openalex.org/W1965159161', 'https://openalex.org/W1968456311', 'https://openalex.org/W1970412632', 'https://openalex.org/W1977606744', 'https://openalex.org/W1979724974', 'https://openalex.org/W1980381398', 'https://openalex.org/W1982244066', 'https://openalex.org/W1983874169', 'https://openalex.org/W1985860461', 'https://openalex.org/W1991755147', 'https://openalex.org/W1994935701', 'https://openalex.org/W1999873841', 'https://openalex.org/W2002941292', 'https://openalex.org/W2003153071', 'https://openalex.org/W2006595531', 'https://openalex.org/W2015873853', 'https://openalex.org/W2017073970', 'https://openalex.org/W2018242321', 'https://openalex.org/W2025978223', 'https://openalex.org/W2027611801', 'https://openalex.org/W2051267751', 'https://openalex.org/W2053073300', 'https://openalex.org/W2056587298', 'https://openalex.org/W2061358965', 'https://openalex.org/W2073857047', 'https://openalex.org/W2077128605', 'https://openalex.org/W2077574606', 'https://openalex.org/W2086048517', 'https://openalex.org/W2087965488', 'https://openalex.org/W2092946730', 'https://openalex.org/W2120764468', 'https://openalex.org/W2125538435', 'https://openalex.org/W2140838501', 'https://openalex.org/W3101258209', 'https://openalex.org/W3101442067', 'https://openalex.org/W3102419798', 'https://openalex.org/W4251135222'], 'related_works': ['https://openalex.org/W4384407355', 'https://openalex.org/W4377864998', 'https://openalex.org/W4318305738', 'https://openalex.org/W4293502205', 'https://openalex.org/W4283647000', 'https://openalex.org/W2073857047', 'https://openalex.org/W2014650164', 'https://openalex.org/W1970646717', 'https://openalex.org/W1970001777', 'https://openalex.org/W1512202477'], 'abstract_inverted_index': {'In': [0], 'the': [1, 4, 7, 10, 21, 24, 29, 33, 44, 50, 54, 60, 64, 71, 77, 87, 93, 102, 105, 108, 113, 119, 127, 131, 134, 138, 143, 147, 150, 153, 164, 168, 176, 182, 185], 'present': [2], 'paper': [3], 'conditions': [5, 52, 120], 'for': [6, 53, 76, 121, 188], 'validity': [8], 'of': [9, 32, 56, 63, 80, 86, 92, 101, 133, 140, 155, 170, 179, 184, 191], 'Tsallis': [11, 61, 72], 'statistics': [12, 73], 'are': [13], 'analyzed.': [14], 'The': [15], 'same': [16], 'has': [17], 'been': [18], 'done': [19], 'following': [20], 'analogy': [22], 'with': [23, 59, 82, 181], 'traditional': [25], 'case:': [26], 'starting': [27], 'from': [28, 163], 'microcanonical': [30, 57, 94, 177], 'description': [31, 79], 'systems': [34, 81], 'and': [35], 'taking': [36], 'into': [37], 'account': [38], 'their': [39], 'self-similarity': [40], 'scaling': [41, 84], 'properties': [42], 'in': [43], 'thermodynamic': [45, 114], 'limit,': [46], 'it': [47], 'is': [48, 68, 74], 'analyzed': [49], 'necessary': [51], 'equivalence': [55], 'ensemble': [58], 'generalization': [62, 183], 'canonical': [65], 'ensemble.': [66, 95], 'It': [67], 'shown': [69], 'that': [70, 161], 'appropriate': [75], 'macroscopic': [78], 'potential': [83], 'laws': [85], 'asymptotic': [88], 'accessible': [89], 'states': [90], 'density': [91], 'Our': [96], 'analysis': [97], 'shows': [98], 'many': [99], 'details': [100], "Tsallis's": [103], 'formalism:': [104], 'q-expectation': [106], 'values,': [107], 'generalized': [109, 175], 'Legendre': [110], 'transformations': [111], 'between': [112], 'potentials,': [115], 'as': [116, 118], 'well': [117], 'its': [122], 'validity,': [123], 'having': [124], 'a': [125, 159], 'priori': [126], 'possibility': [128], 'to': [129, 142], 'estimate': [130], 'value': [132], 'entropic': [135], 'index': [136], 'without': [137], 'necessity': [139], 'appealing': [141], 'computational': [144], 'simulations': [145], 'or': [146], 'experiment.': [148], 'On': [149], 'other': [151], 'hand,': [152], 'definition': [154], 'physical': [156], 'temperature': [157], 'received': [158], 'modification': [160], 'differs': [162], 'Toral': [165], 'result.': [166], 'For': [167], 'case': [169], 'finite': [171], 'systems,': [172], 'we': [173], 'have': [174], 'thermostatistics': [178], 'Gross': [180], 'curvature': [186], 'tensor': [187], 'this': [189], 'kind': [190], 'description.': [192]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2002260827', 'counts_by_year': [{'year': 2023, 'cited_by_count': 1}], 'updated_date': '2024-12-11T06:08:41.640399', 'created_date': '2016-06-24'}