{"id":"https://openalex.org/W2963979144","doi":"https://doi.org/10.1137/130914929","title":"Percolation-Induced Exponential Scaling in the Large Current Tails of Random Resistor Networks","display_name":"Percolation-Induced Exponential Scaling in the Large Current Tails of Random Resistor Networks","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2963979144","doi":"https://doi.org/10.1137/130914929","mag":"2963979144"},"language":"en","primary_location":{"id":"doi:10.1137/130914929","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130914929","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling &amp; Simulation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100775020","display_name":"Feng Shi","orcid":"https://orcid.org/0000-0003-3922-0708"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Feng Shi","raw_affiliation_strings":["University of North Carolina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of North Carolina","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037901547","display_name":"Simi Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Simi Wang","raw_affiliation_strings":["University of North Carolina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of North Carolina","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030886600","display_name":"M. Gregory Forest","orcid":"https://orcid.org/0000-0002-7718-4456"},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M. Gregory Forest","raw_affiliation_strings":["Department of Mathematics,University of North Carolina at Chapel Hill, Chapel Hill, NC 27599-3250"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics,University of North Carolina at Chapel Hill, Chapel Hill, NC 27599-3250","institution_ids":["https://openalex.org/I114027177"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054890347","display_name":"Peter J. Mucha","orcid":"https://orcid.org/0000-0002-0648-7230"},"institutions":[{"id":"https://openalex.org/I114027177","display_name":"University of North Carolina at Chapel Hill","ror":"https://ror.org/0130frc33","country_code":"US","type":"education","lineage":["https://openalex.org/I114027177"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Peter J. Mucha","raw_affiliation_strings":["Department of Mathematics,University of North Carolina at Chapel Hill, Chapel Hill, NC 27599-3250"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics,University of North Carolina at Chapel Hill, Chapel Hill, NC 27599-3250","institution_ids":["https://openalex.org/I114027177"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4517,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.63469312,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"11","issue":"4","first_page":"1298","last_page":"1310"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10083","display_name":"Graphene research and applications","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T10083","display_name":"Graphene research and applications","score":0.9997000098228455,"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/T10074","display_name":"Carbon Nanotubes in Composites","score":0.9986000061035156,"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/T11277","display_name":"Thermal properties of materials","score":0.9983000159263611,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.7566853761672974},{"id":"https://openalex.org/keywords/percolation-threshold","display_name":"Percolation threshold","score":0.6879895925521851},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.6488481760025024},{"id":"https://openalex.org/keywords/resistor","display_name":"Resistor","score":0.5906599760055542},{"id":"https://openalex.org/keywords/percolation","display_name":"Percolation (cognitive psychology)","score":0.5678530931472778},{"id":"https://openalex.org/keywords/percolation-critical-exponents","display_name":"Percolation critical exponents","score":0.5169931650161743},{"id":"https://openalex.org/keywords/current","display_name":"Current (fluid)","score":0.49929285049438477},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.49574336409568787},{"id":"https://openalex.org/keywords/power-law","display_name":"Power law","score":0.4669156074523926},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.429014652967453},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.35808053612709045},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.35518911480903625},{"id":"https://openalex.org/keywords/condensed-matter-physics","display_name":"Condensed matter physics","score":0.35086220502853394},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32064658403396606},{"id":"https://openalex.org/keywords/electrical-resistivity-and-conductivity","display_name":"Electrical resistivity and conductivity","score":0.1735885739326477},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14818039536476135},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.13890674710273743},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.12761831283569336},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.11928173899650574},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.09227797389030457},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09041228890419006},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08331090211868286},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07658854126930237}],"concepts":[{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.7566853761672974},{"id":"https://openalex.org/C2729557","wikidata":"https://www.wikidata.org/wiki/Q7167170","display_name":"Percolation threshold","level":3,"score":0.6879895925521851},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6488481760025024},{"id":"https://openalex.org/C137488568","wikidata":"https://www.wikidata.org/wiki/Q5321","display_name":"Resistor","level":3,"score":0.5906599760055542},{"id":"https://openalex.org/C2780457167","wikidata":"https://www.wikidata.org/wiki/Q17156484","display_name":"Percolation (cognitive psychology)","level":2,"score":0.5678530931472778},{"id":"https://openalex.org/C158574103","wikidata":"https://www.wikidata.org/wiki/Q7167168","display_name":"Percolation critical exponents","level":4,"score":0.5169931650161743},{"id":"https://openalex.org/C148043351","wikidata":"https://www.wikidata.org/wiki/Q4456944","display_name":"Current (fluid)","level":2,"score":0.49929285049438477},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.49574336409568787},{"id":"https://openalex.org/C87040749","wikidata":"https://www.wikidata.org/wiki/Q428971","display_name":"Power law","level":2,"score":0.4669156074523926},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.429014652967453},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.35808053612709045},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.35518911480903625},{"id":"https://openalex.org/C26873012","wikidata":"https://www.wikidata.org/wiki/Q214781","display_name":"Condensed matter physics","level":1,"score":0.35086220502853394},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32064658403396606},{"id":"https://openalex.org/C69990965","wikidata":"https://www.wikidata.org/wiki/Q65402698","display_name":"Electrical resistivity and conductivity","level":2,"score":0.1735885739326477},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14818039536476135},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13890674710273743},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.12761831283569336},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.11928173899650574},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.09227797389030457},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09041228890419006},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08331090211868286},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07658854126930237},{"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},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/130914929","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130914929","pdf_url":null,"source":{"id":"https://openalex.org/S4357572","display_name":"Multiscale Modeling and Simulation","issn_l":"1540-3459","issn":["1540-3459","1540-3467"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Multiscale Modeling &amp; Simulation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.5899999737739563,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1963798240","https://openalex.org/W1965619236","https://openalex.org/W1968916148","https://openalex.org/W1978781100","https://openalex.org/W1984742689","https://openalex.org/W1993298413","https://openalex.org/W1996613237","https://openalex.org/W2002620061","https://openalex.org/W2013227297","https://openalex.org/W2013508664","https://openalex.org/W2015828225","https://openalex.org/W2028555014","https://openalex.org/W2032812425","https://openalex.org/W2033133247","https://openalex.org/W2049939456","https://openalex.org/W2055465915","https://openalex.org/W2064597605","https://openalex.org/W2072406015","https://openalex.org/W2076661618","https://openalex.org/W2076852786","https://openalex.org/W2080169039","https://openalex.org/W2082722453","https://openalex.org/W2087411881","https://openalex.org/W2092034103","https://openalex.org/W2123973393","https://openalex.org/W2142848739","https://openalex.org/W2154296065","https://openalex.org/W4239266051"],"related_works":["https://openalex.org/W2949162805","https://openalex.org/W276302356","https://openalex.org/W2514743413","https://openalex.org/W2032427562","https://openalex.org/W2078697937","https://openalex.org/W4307216248","https://openalex.org/W2062308771","https://openalex.org/W1519314119","https://openalex.org/W2024541258","https://openalex.org/W2081507665"],"abstract_inverted_index":{"There":[0],"is":[1,152,187],"a":[2,26,57,96,196],"renewed":[3],"surge":[4],"in":[5,24,29,51,90,148,166,176,224],"percolation-induced":[6],"transport":[7],"properties":[8,162],"of":[9,49,63,113,130,144,157,171,181,219,241],"diverse":[10],"nanoparticle":[11],"composites":[12],"(cf.":[13],"RSC":[14],"Nanoscience":[15],"&":[16],"Nanotechnology":[17],"Series,":[18],"Paul":[19],"O'Brien":[20],"Editor-in-Chief).":[21],"We":[22,101,123,194],"note":[23],"particular":[25,177],"broad":[27],"interest":[28],"nanocomposites":[30],"exhibiting":[31],"sharp":[32],"electrical":[33],"property":[34],"gains":[35],"at":[36,133,216],"and":[37,74,79,92,109,137,175,211,229],"above":[38,67,205,244],"percolation":[39,50,135],"threshold,":[40,68,136],"which":[41],"motivated":[42],"us":[43],"to":[44,77,81],"revisit":[45],"the":[46,82,87,114,120,126,134,145,149,155,158,172,178,182,213,217,220,225,236],"classical":[47],"setting":[48],"random":[52,64],"resistor":[53,65],"networks":[54,66],"but":[55],"from":[56],"multiscale":[58],"perspective.":[59],"For":[60],"each":[61],"realization":[62],"we":[69,139],"use":[70],"network":[71,88,150],"graph":[72],"representations":[73],"associated":[75,153],"algorithms":[76],"identify":[78,195],"restrict":[80],"percolating":[83,121,159],"component,":[84],"thereby":[85],"preconditioning":[86],"both":[89],"size":[91],"accuracy":[93],"by":[94,231],"filtering":[95],"priori":[97],"zero":[98],"current-carrying":[99],"bonds.":[100],"then":[102,164],"simulate":[103],"many":[104],"realizations":[105],"per":[106],"bond":[107],"density":[108],"analyze":[110],"scaling":[111,143,223,240],"behavior":[112],"complete":[115],"current":[116,147,173,184,200,214,227],"distribution":[117,129,215],"supported":[118],"on":[119,142],"component.":[122],"first":[124],"confirm":[125,140],"celebrated":[127],"power-law":[128,222,239],"small":[131,226],"currents":[132],"second":[138,233],"results":[141],"maximum":[146],"that":[151,186,202],"with":[154,168],"backbone":[156],"cluster.":[160],"These":[161],"are":[163],"placed":[165],"context":[167],"global":[169],"features":[170],"distribution,":[174],"dominant":[179],"role":[180],"large":[183,199],"tail":[185,201],"most":[188],"relevant":[189],"for":[190],"material":[191],"science":[192],"applications.":[193],"robust,":[197],"exponential":[198],"1.":[203],"persists":[204],"threshold;":[206],"2.":[207],"expands":[208],"broadly":[209],"over":[210],"dominates":[212],"expense":[218],"vanishing":[221],"tail;":[228],"3.":[230],"taking":[232],"moments,":[234],"reproduces":[235],"experimentally":[237],"observed":[238],"bulk":[242],"conductivity":[243],"threshold.":[245]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
