Abelian sandpile model on the Bethe lattice

Name: Work Video:
Duration: 3 min 30 s
Deepak Dhar; Satya N. Majumdar
{'id': 'https://openalex.org/W2121645900', 'doi': 'https://doi.org/10.1088/0305-4470/23/19/018', 'title': 'Abelian sandpile model on the Bethe lattice', 'display_name': 'Abelian sandpile model on the Bethe lattice', 'publication_year': 1990, 'publication_date': '1990-10-07', 'ids': {'openalex': 'https://openalex.org/W2121645900', 'doi': 'https://doi.org/10.1088/0305-4470/23/19/018', 'mag': '2121645900'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1088/0305-4470/23/19/018', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210167992', 'display_name': 'Journal of Physics A Mathematical and General', 'issn_l': '0305-4470', 'issn': ['0305-4470', '1361-6447'], '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': True, 'oa_status': 'green', 'oa_url': 'http://lptms.u-psud.fr/satya-majumdar/files/2010/12/dhar90.pdf', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5040345616', 'display_name': 'Deepak Dhar', 'orcid': 'https://orcid.org/0000-0002-3618-6025'}, 'institutions': [{'id': 'https://openalex.org/I11947397', 'display_name': 'Tata Institute of Fundamental Research', 'ror': 'https://ror.org/03ht1xw27', 'country_code': 'IN', 'type': 'education', 'lineage': ['https://openalex.org/I11947397', 'https://openalex.org/I2799351866', 'https://openalex.org/I3149292468']}], 'countries': ['IN'], 'is_corresponding': False, 'raw_author_name': 'D Dhar', 'raw_affiliation_strings': ['Tata Inst. of Fundamental Res., Bombay, India'], 'affiliations': [{'raw_affiliation_string': 'Tata Inst. of Fundamental Res., Bombay, India', 'institution_ids': ['https://openalex.org/I11947397']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5047748977', 'display_name': 'Satya N. Majumdar', 'orcid': 'https://orcid.org/0000-0001-9844-6980'}, 'institutions': [{'id': 'https://openalex.org/I11947397', 'display_name': 'Tata Institute of Fundamental Research', 'ror': 'https://ror.org/03ht1xw27', 'country_code': 'IN', 'type': 'education', 'lineage': ['https://openalex.org/I11947397', 'https://openalex.org/I2799351866', 'https://openalex.org/I3149292468']}], 'countries': ['IN'], 'is_corresponding': False, 'raw_author_name': 'S N Majumdar', 'raw_affiliation_strings': ['Tata Inst. of Fundamental Res., Bombay, India'], 'affiliations': [{'raw_affiliation_string': 'Tata Inst. of Fundamental Res., Bombay, India', 'institution_ids': ['https://openalex.org/I11947397']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 3.479, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 174, 'citation_normalized_percentile': {'value': 0.985754, 'is_in_top_1_percent': False, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 98, 'max': 99}, 'biblio': {'volume': '23', 'issue': '19', 'first_page': '4333', 'last_page': '4350'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10591', 'display_name': 'Theoretical and Computational Physics', 'score': 0.9883, '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': 0.9883, '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/T10716', 'display_name': 'Soil and Unsaturated Flow', 'score': 0.9861, 'subfield': {'id': 'https://openalex.org/subfields/2205', 'display_name': 'Civil and Structural Engineering'}, '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/T10965', 'display_name': 'Geological formations and processes', 'score': 0.9776, 'subfield': {'id': 'https://openalex.org/subfields/1904', 'display_name': 'Earth-Surface Processes'}, 'field': {'id': 'https://openalex.org/fields/19', 'display_name': 'Earth and Planetary Sciences'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/abelian-sandpile-model', 'display_name': 'Abelian sandpile model', 'score': 0.7534808}, {'id': 'https://openalex.org/keywords/lattice', 'display_name': 'Lattice (music)', 'score': 0.53364503}], 'concepts': [{'id': 'https://openalex.org/C52359947', 'wikidata': 'https://www.wikidata.org/wiki/Q4666685', 'display_name': 'Abelian sandpile model', 'level': 2, 'score': 0.7534808}, {'id': 'https://openalex.org/C136170076', 'wikidata': 'https://www.wikidata.org/wiki/Q181296', 'display_name': 'Abelian group', 'level': 2, 'score': 0.5586313}, {'id': 'https://openalex.org/C2781204021', 'wikidata': 'https://www.wikidata.org/wiki/Q6497091', 'display_name': 'Lattice (music)', 'level': 2, 'score': 0.53364503}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.44355875}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.36011252}, {'id': 'https://openalex.org/C26873012', 'wikidata': 'https://www.wikidata.org/wiki/Q214781', 'display_name': 'Condensed matter physics', 'level': 1, 'score': 0.3320703}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.2886997}, {'id': 'https://openalex.org/C121864883', 'wikidata': 'https://www.wikidata.org/wiki/Q677916', 'display_name': 'Statistical physics', 'level': 1, 'score': 0.24399656}, {'id': 'https://openalex.org/C24890656', 'wikidata': 'https://www.wikidata.org/wiki/Q82811', 'display_name': 'Acoustics', 'level': 1, 'score': 0.0}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1088/0305-4470/23/19/018', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210167992', 'display_name': 'Journal of Physics A Mathematical and General', 'issn_l': '0305-4470', 'issn': ['0305-4470', '1361-6447'], '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}, {'is_oa': True, 'landing_page_url': 'http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.727.7377', 'pdf_url': 'http://lptms.u-psud.fr/satya-majumdar/files/2010/12/dhar90.pdf', 'source': {'id': 'https://openalex.org/S4306400349', 'display_name': 'CiteSeer X (The Pennsylvania State University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I130769515', 'host_organization_name': 'Pennsylvania State University', 'host_organization_lineage': ['https://openalex.org/I130769515'], 'host_organization_lineage_names': ['Pennsylvania State University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.727.7377', 'pdf_url': 'http://lptms.u-psud.fr/satya-majumdar/files/2010/12/dhar90.pdf', 'source': {'id': 'https://openalex.org/S4306400349', 'display_name': 'CiteSeer X (The Pennsylvania State University)', 'issn_l': None, 'issn': None, 'is_oa': True, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I130769515', 'host_organization_name': 'Pennsylvania State University', 'host_organization_lineage': ['https://openalex.org/I130769515'], 'host_organization_lineage_names': ['Pennsylvania State University'], 'type': 'repository'}, 'license': None, 'license_id': None, 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 28, 'referenced_works': ['https://openalex.org/W122441277', 'https://openalex.org/W1530042113', 'https://openalex.org/W1641978920', 'https://openalex.org/W1982886317', 'https://openalex.org/W1984208049', 'https://openalex.org/W1985972278', 'https://openalex.org/W1988402984', 'https://openalex.org/W1991987933', 'https://openalex.org/W1994658909', 'https://openalex.org/W1997684578', 'https://openalex.org/W2003022013', 'https://openalex.org/W2008879046', 'https://openalex.org/W2013452064', 'https://openalex.org/W2019328593', 'https://openalex.org/W2025973401', 'https://openalex.org/W2032411420', 'https://openalex.org/W2036149064', 'https://openalex.org/W2037190943', 'https://openalex.org/W2038139819', 'https://openalex.org/W2038320161', 'https://openalex.org/W2063081081', 'https://openalex.org/W2075514521', 'https://openalex.org/W2077458541', 'https://openalex.org/W2080354527', 'https://openalex.org/W2082206048', 'https://openalex.org/W2083630288', 'https://openalex.org/W2087394370', 'https://openalex.org/W2087496472'], 'related_works': ['https://openalex.org/W2963371116', 'https://openalex.org/W2921498481', 'https://openalex.org/W2798599788', 'https://openalex.org/W2165425090', 'https://openalex.org/W2120101606', 'https://openalex.org/W2112911989', 'https://openalex.org/W2090824337', 'https://openalex.org/W2037214993', 'https://openalex.org/W2022920970', 'https://openalex.org/W2011310062'], 'abstract_inverted_index': {'The': [0, 80, 97], 'authors': [1], 'study': [2], 'Bak,': [3], 'Tang': [4], 'and': [5, 31, 71], "Wiesenfeld's": [6], 'Abelian': [7], 'sandpile': [8], 'model': [9], '(1987)': [10], 'of': [11, 35, 53, 56, 66, 75, 86], 'self-organised': [12], 'criticality': [13], 'on': [14], 'the': [15, 25, 32, 50, 54, 64, 69, 72, 113, 117], 'Bethe': [16], 'lattice.': [17], 'Exact': [18], 'expressions': [19], 'for': [20, 94, 107, 116], 'various': [21], 'distribution': [22, 27, 34, 52], 'functions': [23], 'including': [24], 'height': [26], 'at': [28, 37, 61, 68], 'a': [29], 'site': [30], 'joint': [33], 'heights': [36], 'two': [38], 'sites': [39, 58], 'separated': [40], 'by': [41], 'an': [42, 78, 83], 'arbitrary': [43], 'distance': [44], 'are': [45, 112], 'obtained.': [46], 'They': [47], 'also': [48], 'determine': [49], 'probability': [51, 81, 98], 'number': [55, 65, 74], 'distinct': [57], 'that': [59, 82, 99], 'topple': [60], 'least': [62], 'once,': [63], 'toplings': [67, 76, 90], 'origin': [70], 'total': [73], 'in': [77, 121], 'avalanche.': [79], 'avalanche': [84], 'consists': [85], 'more': [87], 'than': [88], 'n': [89], 'varies': [91], 'as': [92, 105, 115], 'n-1/2': [93], 'large': [95, 108], 'n.': [96], 'its': [100], 'duration': [101], 'exceeds': [102], 'T': [103], 'decreases': [104], '1/T': [106], 'T.': [109], 'These': [110], 'exponents': [111], 'same': [114], 'critical': [118], 'percolation': [119], 'clusters': [120], 'mean': [122], 'field': [123], 'theory.': [124]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2121645900', 'counts_by_year': [{'year': 2024, 'cited_by_count': 2}, {'year': 2023, 'cited_by_count': 3}, {'year': 2022, 'cited_by_count': 18}, {'year': 2021, 'cited_by_count': 4}, {'year': 2020, 'cited_by_count': 1}, {'year': 2019, 'cited_by_count': 6}, {'year': 2018, 'cited_by_count': 9}, {'year': 2017, 'cited_by_count': 2}, {'year': 2016, 'cited_by_count': 2}, {'year': 2015, 'cited_by_count': 3}, {'year': 2014, 'cited_by_count': 3}, {'year': 2013, 'cited_by_count': 3}, {'year': 2012, 'cited_by_count': 4}], 'updated_date': '2024-12-12T13:42:27.255472', 'created_date': '2016-06-24'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
