{"id":"https://openalex.org/W2971119201","doi":"https://doi.org/10.1093/comnet/cnz046","title":"Active-absorbing phase transition and small-world behaviour in Ising model on finite addition type networks in two dimensions","display_name":"Active-absorbing phase transition and small-world behaviour in Ising model on finite addition type networks in two dimensions","publication_year":2019,"publication_date":"2019-12-13","ids":{"openalex":"https://openalex.org/W2971119201","doi":"https://doi.org/10.1093/comnet/cnz046","mag":"2971119201"},"language":"en","primary_location":{"id":"doi:10.1093/comnet/cnz046","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comnet/cnz046","pdf_url":null,"source":{"id":"https://openalex.org/S2531583244","display_name":"Journal of Complex Networks","issn_l":"2051-1310","issn":["2051-1310","2051-1329"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Complex Networks","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1908.10656","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Pratik Mullick","orcid":null},"institutions":[{"id":"https://openalex.org/I106542073","display_name":"University of Calcutta","ror":"https://ror.org/01e7v7w47","country_code":"IN","type":"education","lineage":["https://openalex.org/I106542073"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Pratik Mullick","raw_affiliation_strings":["Department of Physics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata 700009, India"],"affiliations":[{"raw_affiliation_string":"Department of Physics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata 700009, India","institution_ids":["https://openalex.org/I106542073"]}]},{"author_position":"last","author":{"id":null,"display_name":"Parongama Sen","orcid":null},"institutions":[{"id":"https://openalex.org/I106542073","display_name":"University of Calcutta","ror":"https://ror.org/01e7v7w47","country_code":"IN","type":"education","lineage":["https://openalex.org/I106542073"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Parongama Sen","raw_affiliation_strings":["Department of Physics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata 700009, India"],"affiliations":[{"raw_affiliation_string":"Department of Physics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata 700009, India","institution_ids":["https://openalex.org/I106542073"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I106542073"],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.10074881,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"8","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.47679999470710754,"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":0.47679999470710754,"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/T11804","display_name":"Quantum many-body systems","score":0.16779999434947968,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.15809999406337738,"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/ising-model","display_name":"Ising model","score":0.9229999780654907},{"id":"https://openalex.org/keywords/phase-diagram","display_name":"Phase diagram","score":0.7135000228881836},{"id":"https://openalex.org/keywords/square-lattice","display_name":"Square lattice","score":0.7006000280380249},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5710999965667725},{"id":"https://openalex.org/keywords/critical-line","display_name":"Critical line","score":0.4699999988079071},{"id":"https://openalex.org/keywords/phase-transition","display_name":"Phase transition","score":0.4526999890804291},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.36899998784065247},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.351500004529953}],"concepts":[{"id":"https://openalex.org/C51329190","wikidata":"https://www.wikidata.org/wiki/Q1076349","display_name":"Ising model","level":2,"score":0.9229999780654907},{"id":"https://openalex.org/C85906118","wikidata":"https://www.wikidata.org/wiki/Q186693","display_name":"Phase diagram","level":3,"score":0.7135000228881836},{"id":"https://openalex.org/C2777620828","wikidata":"https://www.wikidata.org/wiki/Q7582067","display_name":"Square lattice","level":3,"score":0.7006000280380249},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5777999758720398},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5710999965667725},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5026999711990356},{"id":"https://openalex.org/C2776605787","wikidata":"https://www.wikidata.org/wiki/Q5186739","display_name":"Critical line","level":2,"score":0.4699999988079071},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.4526999890804291},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.3982999920845032},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.36899998784065247},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.351500004529953},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34790000319480896},{"id":"https://openalex.org/C49005734","wikidata":"https://www.wikidata.org/wiki/Q7581981","display_name":"Square-lattice Ising model","level":3,"score":0.3447999954223633},{"id":"https://openalex.org/C75577371","wikidata":"https://www.wikidata.org/wiki/Q6497124","display_name":"Lattice model (finance)","level":3,"score":0.33079999685287476},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.3296999931335449},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.3249000012874603},{"id":"https://openalex.org/C2988224531","wikidata":"https://www.wikidata.org/wiki/Q20830730","display_name":"Network structure","level":2,"score":0.31850001215934753},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.3109000027179718},{"id":"https://openalex.org/C194807282","wikidata":"https://www.wikidata.org/wiki/Q900634","display_name":"Critical phenomena","level":3,"score":0.303600013256073},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.28119999170303345}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1093/comnet/cnz046","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comnet/cnz046","pdf_url":null,"source":{"id":"https://openalex.org/S2531583244","display_name":"Journal of Complex Networks","issn_l":"2051-1310","issn":["2051-1310","2051-1329"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Complex Networks","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1908.10656","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1908.10656","pdf_url":"https://arxiv.org/pdf/1908.10656","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1908.10656","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1908.10656","pdf_url":"https://arxiv.org/pdf/1908.10656","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1980096014","https://openalex.org/W1983836590","https://openalex.org/W2032861293","https://openalex.org/W2040232110","https://openalex.org/W2049534042","https://openalex.org/W2070110046","https://openalex.org/W2075705006","https://openalex.org/W2095316109","https://openalex.org/W2119004437","https://openalex.org/W2136585776","https://openalex.org/W2143061491","https://openalex.org/W2148606196","https://openalex.org/W2617876960","https://openalex.org/W6673293531"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"We":[1,86],"consider":[2],"the":[3,7,55,62,68,93,97,109],"ordering":[4],"dynamics":[5],"of":[6,19,30,37,54,99,102],"Ising":[8,110],"model":[9,111],"on":[10],"a":[11,28,88],"square":[12],"lattice":[13,32,83],"where":[14],"an":[15],"additional":[16],"fixed":[17,49],"number":[18,36],"bonds":[20],"connect":[21],"any":[22],"two":[23,43],"sites":[24],"chosen":[25],"randomly":[26],"from":[27],"total":[29,35],"$N$":[31],"sites.":[33],"The":[34,51],"shortcuts":[38],"added":[39],"is":[40,65],"controlled":[41],"by":[42],"parameters":[44],"$p$":[45],"and":[46,81,104,114],"$\\alpha$":[47],"for":[48],"$N$.":[50],"structural":[52],"properties":[53],"network":[56],"are":[57],"investigated":[58],"which":[59,73,108],"show":[60],"that":[61],"small-world":[63],"behaviour":[64,80],"obtained":[66],"along":[67],"line":[69],"$\\alpha=\\frac{\\ln":[70],"(N/2p)}{\\ln":[71],"N}$,":[72],"separates":[74],"regions":[75],"with":[76],"ultra-small":[77],"world":[78],"like":[79,84],"short-ranged":[82],"behaviour.":[85],"obtain":[87],"rich":[89],"phase":[90],"diagram":[91],"in":[92],"$p-\\alpha$":[94],"plane":[95],"showing":[96],"existence":[98],"different":[100],"types":[101],"active":[103],"absorbing":[105],"states":[106],"to":[107,113],"evolves":[112],"their":[115],"boundaries.":[116]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2019-09-05T00:00:00"}
