Percolation with a threshold at zero: A new universality class

Name: Work Video:
Duration: 3 min 30 s
S. A. Trugman; Abel Weinrib
{'id': 'https://openalex.org/W2032427562', 'doi': 'https://doi.org/10.1103/physrevb.31.2974', 'title': 'Percolation with a threshold at zero: A new universality class', 'display_name': 'Percolation with a threshold at zero: A new universality class', 'publication_year': 1985, 'publication_date': '1985-03-01', 'ids': {'openalex': 'https://openalex.org/W2032427562', 'doi': 'https://doi.org/10.1103/physrevb.31.2974', 'mag': '2032427562', 'pmid': 'https://pubmed.ncbi.nlm.nih.gov/9936150'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1103/physrevb.31.2974', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210174675', 'display_name': 'Physical review. B, Condensed matter', 'issn_l': '0163-1829', 'issn': ['0163-1829', '1095-3795'], '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': ['crossref', 'pubmed'], '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/A5075522706', 'display_name': 'S. A. Trugman', 'orcid': 'https://orcid.org/0000-0002-6688-7228'}, 'institutions': [{'id': 'https://openalex.org/I205783295', 'display_name': 'Cornell University', 'ror': 'https://ror.org/05bnh6r87', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I205783295']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'S. A. Trugman', 'raw_affiliation_strings': ['Laboratory of Atomic and solid State Physics, Cornell University, Ithaca, New York 14853'], 'affiliations': [{'raw_affiliation_string': 'Laboratory of Atomic and solid State Physics, Cornell University, Ithaca, New York 14853', 'institution_ids': ['https://openalex.org/I205783295']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5031948687', 'display_name': 'Abel Weinrib', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I205783295', 'display_name': 'Cornell University', 'ror': 'https://ror.org/05bnh6r87', 'country_code': 'US', 'type': 'education', 'lineage': ['https://openalex.org/I205783295']}], 'countries': ['US'], 'is_corresponding': False, 'raw_author_name': 'Abel Weinrib', 'raw_affiliation_strings': ['Laboratory of Atomic and solid State Physics, Cornell University, Ithaca, New York 14853'], 'affiliations': [{'raw_affiliation_string': 'Laboratory of Atomic and solid State Physics, Cornell University, Ithaca, New York 14853', 'institution_ids': ['https://openalex.org/I205783295']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 1.65, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 38, 'citation_normalized_percentile': {'value': 0.835719, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 91, 'max': 92}, 'biblio': {'volume': '31', 'issue': '5', 'first_page': '2974', 'last_page': '2980'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10591', 'display_name': 'Theoretical and Computational Physics', 'score': 0.9997, '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': 0.9997, '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': 0.9977, '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/T12603', 'display_name': 'NMR spectroscopy and applications', 'score': 0.9845, 'subfield': {'id': 'https://openalex.org/subfields/3106', 'display_name': 'Nuclear and High Energy 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/directed-percolation', 'display_name': 'Directed percolation', 'score': 0.8066875}, {'id': 'https://openalex.org/keywords/exponent', 'display_name': 'Exponent', 'score': 0.62095743}, {'id': 'https://openalex.org/keywords/percolation', 'display_name': 'Percolation (cognitive psychology)', 'score': 0.5170458}, {'id': 'https://openalex.org/keywords/continuum-percolation-theory', 'display_name': 'Continuum percolation theory', 'score': 0.45855707}], 'concepts': [{'id': 'https://openalex.org/C158574103', 'wikidata': 'https://www.wikidata.org/wiki/Q7167168', 'display_name': 'Percolation critical exponents', 'level': 4, 'score': 0.8797052}, {'id': 'https://openalex.org/C15867958', 'wikidata': 'https://www.wikidata.org/wiki/Q5280413', 'display_name': 'Directed percolation', 'level': 4, 'score': 0.8066875}, {'id': 'https://openalex.org/C2729557', 'wikidata': 'https://www.wikidata.org/wiki/Q7167170', 'display_name': 'Percolation threshold', 'level': 3, 'score': 0.80250823}, {'id': 'https://openalex.org/C164154869', 'wikidata': 'https://www.wikidata.org/wiki/Q901927', 'display_name': 'Critical exponent', 'level': 3, 'score': 0.69368756}, {'id': 'https://openalex.org/C183992945', 'wikidata': 'https://www.wikidata.org/wiki/Q2495574', 'display_name': 'Universality (dynamical systems)', 'level': 2, 'score': 0.62471485}, {'id': 'https://openalex.org/C2780388253', 'wikidata': 'https://www.wikidata.org/wiki/Q5421508', 'display_name': 'Exponent', 'level': 2, 'score': 0.62095743}, {'id': 'https://openalex.org/C121864883', 'wikidata': 'https://www.wikidata.org/wiki/Q677916', 'display_name': 'Statistical physics', 'level': 1, 'score': 0.6073523}, {'id': 'https://openalex.org/C68532491', 'wikidata': 'https://www.wikidata.org/wiki/Q1203669', 'display_name': 'Renormalization group', 'level': 2, 'score': 0.52515215}, {'id': 'https://openalex.org/C2780457167', 'wikidata': 'https://www.wikidata.org/wiki/Q17156484', 'display_name': 'Percolation (cognitive psychology)', 'level': 2, 'score': 0.5170458}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.51029515}, {'id': 'https://openalex.org/C34800285', 'wikidata': 'https://www.wikidata.org/wiki/Q5159395', 'display_name': 'Conductor', 'level': 2, 'score': 0.4759388}, {'id': 'https://openalex.org/C177634923', 'wikidata': 'https://www.wikidata.org/wiki/Q17005777', 'display_name': 'Continuum percolation theory', 'level': 5, 'score': 0.45855707}, {'id': 'https://openalex.org/C26873012', 'wikidata': 'https://www.wikidata.org/wiki/Q214781', 'display_name': 'Condensed matter physics', 'level': 1, 'score': 0.33794314}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.31488955}, {'id': 'https://openalex.org/C37914503', 'wikidata': 'https://www.wikidata.org/wiki/Q156495', 'display_name': 'Mathematical physics', 'level': 1, 'score': 0.252031}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.15768158}, {'id': 'https://openalex.org/C149288129', 'wikidata': 'https://www.wikidata.org/wiki/Q185357', 'display_name': 'Phase transition', 'level': 2, 'score': 0.15463603}, {'id': 'https://openalex.org/C69990965', 'wikidata': 'https://www.wikidata.org/wiki/Q65402698', 'display_name': 'Electrical resistivity and conductivity', 'level': 2, 'score': 0.14267015}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.09844771}, {'id': 'https://openalex.org/C41895202', 'wikidata': 'https://www.wikidata.org/wiki/Q8162', 'display_name': 'Linguistics', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C169760540', 'wikidata': 'https://www.wikidata.org/wiki/Q207011', 'display_name': 'Neuroscience', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.0}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1103/physrevb.31.2974', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S4210174675', 'display_name': 'Physical review. B, Condensed matter', 'issn_l': '0163-1829', 'issn': ['0163-1829', '1095-3795'], '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': False, 'landing_page_url': 'https://pubmed.ncbi.nlm.nih.gov/9936150', '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}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 34, 'referenced_works': ['https://openalex.org/W1966180487', 'https://openalex.org/W1968774256', 'https://openalex.org/W1969230117', 'https://openalex.org/W1969596331', 'https://openalex.org/W1977902157', 'https://openalex.org/W1978085996', 'https://openalex.org/W1986310828', 'https://openalex.org/W1988335285', 'https://openalex.org/W2003171554', 'https://openalex.org/W2004030833', 'https://openalex.org/W2006688341', 'https://openalex.org/W2016972073', 'https://openalex.org/W2022327874', 'https://openalex.org/W2028668146', 'https://openalex.org/W2032824848', 'https://openalex.org/W2037769340', 'https://openalex.org/W2038038197', 'https://openalex.org/W2040774056', 'https://openalex.org/W2044302269', 'https://openalex.org/W2046733914', 'https://openalex.org/W2048471843', 'https://openalex.org/W2049029334', 'https://openalex.org/W2049320988', 'https://openalex.org/W2055102528', 'https://openalex.org/W2059384703', 'https://openalex.org/W2067021917', 'https://openalex.org/W2073352240', 'https://openalex.org/W2079128750', 'https://openalex.org/W2097879209', 'https://openalex.org/W2100524267', 'https://openalex.org/W2107341469', 'https://openalex.org/W2120294563', 'https://openalex.org/W2146651913', 'https://openalex.org/W562276423'], 'related_works': ['https://openalex.org/W4280591693', 'https://openalex.org/W3216824020', 'https://openalex.org/W3099436367', 'https://openalex.org/W2949162805', 'https://openalex.org/W2188950546', 'https://openalex.org/W2094482977', 'https://openalex.org/W2082819662', 'https://openalex.org/W2080696508', 'https://openalex.org/W2077569955', 'https://openalex.org/W1639194677'], 'abstract_inverted_index': {'We': [0], 'propose': [1], 'a': [2, 9, 30, 45, 68, 85, 99], 'new': [3], 'continuum': [4], 'percolation': [5, 10, 64, 100], 'model': [6, 27, 82], 'that': [7, 40], 'has': [8], 'threshold': [11, 101], 'at': [12, 102], 'zero:': [13], 'The': [14, 26, 51, 81], 'network': [15], 'conducts': [16], 'no': [17], 'matter': [18], 'how': [19], 'small': [20], 'the': [21, 38, 89], 'volume': [22], 'fraction': [23], 'of': [24, 62, 88, 92], 'conductor.': [25], 'is': [28, 42, 58], 'in': [29, 55, 60, 78], 'different': [31], 'universality': [32], 'class': [33], 'from': [34], 'ordinary': [35], 'percolation,': [36], 'despite': [37], 'fact': [39], 'it': [41], 'defined': [43], 'by': [44], 'potential': [46], 'with': [47], 'only': [48], 'short-range': [49], 'correlations.': [50], 'conductivity': [52], 'exponent': [53, 70], '${t}_{0}$': [54], 'two': [56], 'dimensions': [57], 'calculated': [59], 'terms': [61], 'static': [63], 'critical': [65, 73], 'exponents,': [66], 'including': [67], 'nonstandard': [69], 'x.': [71], 'Static': [72], 'exponents': [74], 'are': [75], 'also': [76], 'given': [77], 'general': [79], 'dimensions.': [80], 'may': [83], 'provide': [84], 'useful': [86], 'description': [87], 'pore': [90], 'space': [91], 'some': [93], 'rocks,': [94], 'which': [95], 'appear': [96], 'to': [97], 'have': [98], 'or': [103], 'near': [104], 'zero.': [105]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2032427562', 'counts_by_year': [{'year': 2023, 'cited_by_count': 1}, {'year': 2021, 'cited_by_count': 2}, {'year': 2020, 'cited_by_count': 1}, {'year': 2018, 'cited_by_count': 1}, {'year': 2017, 'cited_by_count': 3}, {'year': 2016, 'cited_by_count': 2}, {'year': 2015, 'cited_by_count': 3}, {'year': 2014, 'cited_by_count': 2}, {'year': 2013, 'cited_by_count': 1}], 'updated_date': '2024-12-09T09:55:09.422863', 'created_date': '2016-06-24'}
Publication Information

Basic Information

Access and Citation

AI Researcher Chatbot

Primary Location

Authors

Topics

Keywords

Related Works
