Publication Information

{'id': 'https://openalex.org/W1964203316', 'doi': 'https://doi.org/10.1088/1742-5468/2011/07/p07014', 'title': 'One-step replica-symmetry-breaking solution of the Sherrington–Kirkpatrick model under a Gaussian random field', 'display_name': 'One-step replica-symmetry-breaking solution of the Sherrington–Kirkpatrick model under a Gaussian random field', 'publication_year': 2011, 'publication_date': '2011-07-22', 'ids': {'openalex': 'https://openalex.org/W1964203316', 'doi': 'https://doi.org/10.1088/1742-5468/2011/07/p07014', 'mag': '1964203316'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1088/1742-5468/2011/07/p07014', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S167943036', 'display_name': 'Journal of Statistical Mechanics Theory and Experiment', 'issn_l': '1742-5468', 'issn': ['1742-5468'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310311669', 'host_organization_name': 'Institute of Physics', 'host_organization_lineage': ['https://openalex.org/P4310311669'], 'host_organization_lineage_names': ['Institute of Physics'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5042982781', 'display_name': 'S. G. Magalhães', 'orcid': 'https://orcid.org/0000-0002-6874-7579'}, 'institutions': [{'id': 'https://openalex.org/I161127581', 'display_name': 'Universidade Federal Fluminense', 'ror': 'https://ror.org/02rjhbb08', 'country_code': 'BR', 'type': 'education', 'lineage': ['https://openalex.org/I161127581']}], 'countries': ['BR'], 'is_corresponding': False, 'raw_author_name': 'S G Magalhães', 'raw_affiliation_strings': ['Instituto de Fisica, Universidade Federal Fluminense, 24210-346, Niterói, RJ,#N#Brazil'], 'affiliations': [{'raw_affiliation_string': 'Instituto de Fisica, Universidade Federal Fluminense, 24210-346, Niterói, RJ,#N#Brazil', 'institution_ids': ['https://openalex.org/I161127581']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5111059048', 'display_name': 'C. V. Morais', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I126460647', 'display_name': 'Universidade Federal do Rio Grande', 'ror': 'https://ror.org/05hpfkn88', 'country_code': 'BR', 'type': 'education', 'lineage': ['https://openalex.org/I126460647']}, {'id': 'https://openalex.org/I130442723', 'display_name': 'Universidade Federal do Rio Grande do Sul', 'ror': 'https://ror.org/041yk2d64', 'country_code': 'BR', 'type': 'education', 'lineage': ['https://openalex.org/I130442723']}], 'countries': ['BR'], 'is_corresponding': False, 'raw_author_name': 'C V Morais', 'raw_affiliation_strings': ['Programa de Pós-Graduação em Física—Instituto de Matemática, Estatística e Física, Universidade Federal do Rio Grande, 96.201-900, Rio Grande, RS, Brazil'], 'affiliations': [{'raw_affiliation_string': 'Programa de Pós-Graduação em Física—Instituto de Matemática, Estatística e Física, Universidade Federal do Rio Grande, 96.201-900, Rio Grande, RS, Brazil', 'institution_ids': ['https://openalex.org/I126460647', 'https://openalex.org/I130442723']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5042751906', 'display_name': 'Fernando Nobre', 'orcid': 'https://orcid.org/0000-0003-2311-4222'}, 'institutions': [{'id': 'https://openalex.org/I1321296531', 'display_name': 'National Institute of Standards and Technology', 'ror': 'https://ror.org/05xpvk416', 'country_code': 'US', 'type': 'government', 'lineage': ['https://openalex.org/I1321296531', 'https://openalex.org/I1343035065']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'F D Nobre', 'raw_affiliation_strings': ['Centro Brasileiro de Pesquisas Físicas and National Institute of Science and Technology for Complex Systems, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro, RJ, Brazil.'], 'affiliations': [{'raw_affiliation_string': 'Centro Brasileiro de Pesquisas Físicas and National Institute of Science and Technology for Complex Systems, Rua Xavier Sigaud 150, 22290-180 Rio de Janeiro, RJ, Brazil.', 'institution_ids': ['https://openalex.org/I1321296531']}]}], 'institution_assertions': [], 'countries_distinct_count': 2, 'institutions_distinct_count': 4, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 1.577, 'has_fulltext': False, 'cited_by_count': 11, 'citation_normalized_percentile': {'value': 0.638815, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 85, 'max': 86}, 'biblio': {'volume': '2011', 'issue': '07', 'first_page': 'P07014', 'last_page': 'P07014'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10591', 'display_name': 'Theoretical and Computational Physics', 'score': 0.9984, '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': 0.9984, '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/T10474', 'display_name': 'Material Dynamics and Properties', 'score': 0.9983, 'subfield': {'id': 'https://openalex.org/subfields/2505', 'display_name': 'Materials Chemistry'}, 'field': {'id': 'https://openalex.org/fields/25', 'display_name': 'Materials Science'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11520', 'display_name': 'Advanced Thermodynamics and Statistical Mechanics', 'score': 0.9963, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/replica-trick', 'display_name': 'Replica trick', 'score': 0.47040397}], 'concepts': [{'id': 'https://openalex.org/C2775937380', 'wikidata': 'https://www.wikidata.org/wiki/Q1232589', 'display_name': 'Replica', 'level': 2, 'score': 0.8228036}, {'id': 'https://openalex.org/C204795200', 'wikidata': 'https://www.wikidata.org/wiki/Q903282', 'display_name': 'Symmetry breaking', 'level': 2, 'score': 0.64376134}, {'id': 'https://openalex.org/C130402806', 'wikidata': 'https://www.wikidata.org/wiki/Q5361768', 'display_name': 'Random field', 'level': 2, 'score': 0.5417739}, {'id': 'https://openalex.org/C121864883', 'wikidata': 'https://www.wikidata.org/wiki/Q677916', 'display_name': 'Statistical physics', 'level': 1, 'score': 0.5403509}, {'id': 'https://openalex.org/C163716315', 'wikidata': 'https://www.wikidata.org/wiki/Q901177', 'display_name': 'Gaussian', 'level': 2, 'score': 0.50709367}, {'id': 'https://openalex.org/C150775274', 'wikidata': 'https://www.wikidata.org/wiki/Q1490646', 'display_name': 'Spin glass', 'level': 2, 'score': 0.50579166}, {'id': 'https://openalex.org/C26445502', 'wikidata': 'https://www.wikidata.org/wiki/Q503658', 'display_name': 'Replica trick', 'level': 3, 'score': 0.47040397}, {'id': 'https://openalex.org/C2779886137', 'wikidata': 'https://www.wikidata.org/wiki/Q21030012', 'display_name': 'Symmetry (geometry)', 'level': 2, 'score': 0.43664527}, {'id': 'https://openalex.org/C51267290', 'wikidata': 'https://www.wikidata.org/wiki/Q5527848', 'display_name': 'Gaussian random field', 'level': 4, 'score': 0.4268152}, {'id': 'https://openalex.org/C9652623', 'wikidata': 'https://www.wikidata.org/wiki/Q190109', 'display_name': 'Field (mathematics)', 'level': 2, 'score': 0.4255698}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.3766377}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.32567197}, {'id': 'https://openalex.org/C26873012', 'wikidata': 'https://www.wikidata.org/wiki/Q214781', 'display_name': 'Condensed matter physics', 'level': 1, 'score': 0.25636122}, {'id': 'https://openalex.org/C61326573', 'wikidata': 'https://www.wikidata.org/wiki/Q1496376', 'display_name': 'Gaussian process', 'level': 3, 'score': 0.21799457}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.1979565}, {'id': 'https://openalex.org/C105795698', 'wikidata': 'https://www.wikidata.org/wiki/Q12483', 'display_name': 'Statistics', 'level': 1, 'score': 0.12856755}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.114693195}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.07910541}, {'id': 'https://openalex.org/C205649164', 'wikidata': 'https://www.wikidata.org/wiki/Q1071', 'display_name': 'Geography', 'level': 0, 'score': 0.054903}, {'id': 'https://openalex.org/C166957645', 'wikidata': 'https://www.wikidata.org/wiki/Q23498', 'display_name': 'Archaeology', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1088/1742-5468/2011/07/p07014', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S167943036', 'display_name': 'Journal of Statistical Mechanics Theory and Experiment', 'issn_l': '1742-5468', 'issn': ['1742-5468'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310311669', 'host_organization_name': 'Institute of Physics', 'host_organization_lineage': ['https://openalex.org/P4310311669'], 'host_organization_lineage_names': ['Institute of Physics'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 21, 'referenced_works': ['https://openalex.org/W1516422504', 'https://openalex.org/W1527520754', 'https://openalex.org/W1633549751', 'https://openalex.org/W1964458800', 'https://openalex.org/W1969186867', 'https://openalex.org/W1974572752', 'https://openalex.org/W1982967801', 'https://openalex.org/W1991904924', 'https://openalex.org/W2000449275', 'https://openalex.org/W2003678860', 'https://openalex.org/W2022820481', 'https://openalex.org/W2042048105', 'https://openalex.org/W2047765816', 'https://openalex.org/W2050867146', 'https://openalex.org/W2059314508', 'https://openalex.org/W2060314483', 'https://openalex.org/W2067292582', 'https://openalex.org/W2084844972', 'https://openalex.org/W2089108253', 'https://openalex.org/W2167541025', 'https://openalex.org/W2987447514'], 'related_works': ['https://openalex.org/W3042556711', 'https://openalex.org/W2953070151', 'https://openalex.org/W2092491396', 'https://openalex.org/W2081498827', 'https://openalex.org/W2067073673', 'https://openalex.org/W1986773407', 'https://openalex.org/W1986150284', 'https://openalex.org/W1792874570', 'https://openalex.org/W1650305118', 'https://openalex.org/W1586787782'], 'abstract_inverted_index': {'The': [0], 'Sherrington–Kirkpatrick': [1], 'model,': [2], 'in': [3, 25], 'the': [4, 14, 26, 36, 44, 54, 60, 69, 75, 87, 96, 106, 116], 'presence': [5], 'of': [6, 62, 74], 'a': [7, 18, 32, 49], 'Gaussian': [8], 'random': [9, 45], 'field,': [10], 'is': [11, 66, 78], 'studied': [12], 'through': [13, 53], 'replica': [15], 'formalism': [16], 'within': [17, 81], 'one-step': [19], 'replica-symmetry-breaking': [20, 118], 'procedure.': [21, 119], 'This': [22], 'model': [23], 'treated': [24], 'replica-symmetry': [27, 63, 76], 'approximation': [28], 'does': [29], 'not': [30], 'exhibit': [31], 'spin-glass': [33], 'phase,': [34], 'since': [35], 'corresponding': [37, 88], 'order': [38, 89], 'parameter': [39], 'becomes': [40], 'trivially': [41], 'induced': [42], 'by': [43], 'field.': [46], 'However,': [47], 'such': [48], 'phase': [50], 'appears': [51], 'naturally': [52], 'present': [55, 97], 'approach,': [56], 'being': [57], 'associated': [58], 'with': [59], 'onset': [61], 'breaking.': [64], 'It': [65], 'shown': [67], 'that': [68, 111], 'low-temperature': [70], 'negative-entropy': [71], 'problem,': [72], 'characteristic': [73], 'approximation,': [77], 'practically': [79], 'resolved': [80], 'this': [82], 'improved': [83], 'approach.': [84], 'Phase': [85], 'diagrams,': [86], 'parameters,': [90], 'and': [91], 'thermodynamic': [92], 'properties': [93], 'are': [94, 99], 'computed;': [95], 'results': [98], 'expected': [100], 'to': [101, 105], 'be': [102, 113], 'very': [103], 'close': [104], 'correct': [107], 'ones,': [108], 'i.e.,': [109], 'those': [110], 'could': [112], 'obtained': [114], 'from': [115], 'full': [117]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W1964203316', 'counts_by_year': [{'year': 2021, 'cited_by_count': 1}, {'year': 2019, 'cited_by_count': 1}, {'year': 2016, 'cited_by_count': 1}, {'year': 2014, 'cited_by_count': 1}, {'year': 2013, 'cited_by_count': 2}, {'year': 2012, 'cited_by_count': 5}], 'updated_date': '2024-12-09T23:16:14.684243', 'created_date': '2016-06-24'}