{"id":"https://openalex.org/W3015520004","doi":null,"title":"From diffusive to fractional behavior in a boundary driven exclusion process","display_name":"From diffusive to fractional behavior in a boundary driven exclusion process","publication_year":2020,"publication_date":"2020-04-08","ids":{"openalex":"https://openalex.org/W3015520004","mag":"3015520004"},"language":"en","primary_location":{"id":"mag:3015520004","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2004.03978","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"arXiv (Cornell University)","raw_type":null},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2004.03978","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5080758846","display_name":"Patr\u00edcia Gon\u00e7alves","orcid":"https://orcid.org/0000-0002-8093-8810","observed_orcids":["https://orcid.org/0000-0002-8093-8810"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Patr\u00edcia Gon\u00e7alves","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-8093-8810","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5029895242","display_name":"Stefano Scotta","orcid":"https://orcid.org/0000-0003-1078-2985","observed_orcids":["https://orcid.org/0000-0003-1078-2985"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Stefano Scotta","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-1078-2985","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.9965999722480774,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.0007999999797903001,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10591","display_name":"Theoretical and Computational Physics","score":0.00039999998989515007,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/symmetric-exclusion-process","display_name":"symmetric exclusion process","score":0.9190000295639038},{"id":"https://openalex.org/keywords/long-jump","display_name":"long jump","score":0.8240000009536743},{"id":"https://openalex.org/keywords/hydrodynamic-limit","display_name":"hydrodynamic limit","score":0.8560000061988831},{"id":"https://openalex.org/keywords/boundary-driven-systems","display_name":"boundary-driven systems","score":0.6470000147819519},{"id":"https://openalex.org/keywords/fractional-diffusion","display_name":"fractional diffusion","score":0.5429999828338623},{"id":"https://openalex.org/keywords/superdiffusion","display_name":"superdiffusion","score":0.8629999756813049},{"id":"https://openalex.org/keywords/infinite-variance","display_name":"infinite variance","score":0.675000011920929},{"id":"https://openalex.org/keywords/critical-regime","display_name":"critical regime","score":0.6129999756813049},{"id":"https://openalex.org/keywords/reservoirs","display_name":"reservoirs","score":0.5350000262260437}],"concepts":[{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.6693669557571411},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5946882367134094},{"id":"https://openalex.org/C196083921","wikidata":"https://www.wikidata.org/wiki/Q7915758","display_name":"Variance (accounting)","level":2,"score":0.5797234177589417},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5769777894020081},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5617989897727966},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5554832816123962},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.5054364204406738},{"id":"https://openalex.org/C134247516","wikidata":"https://www.wikidata.org/wiki/Q5164846","display_name":"Contact process (mathematics)","level":2,"score":0.47465401887893677},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4279422461986542},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.3877188563346863},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2358887791633606},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.12218639254570007},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C121955636","wikidata":"https://www.wikidata.org/wiki/Q4116214","display_name":"Accounting","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"mag:3015520004","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2004.03978","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"mag:3015520004","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2004.03978","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3174260712","https://openalex.org/W4287728224","https://openalex.org/W4365447547","https://openalex.org/W2793274097","https://openalex.org/W3120233473","https://openalex.org/W4300903671","https://openalex.org/W2288394261","https://openalex.org/W2107146419","https://openalex.org/W4226455133","https://openalex.org/W1938396062"],"abstract_inverted_index":{"The":[0,31],"purpose":[1],"of":[2,11,37,84],"this":[3,69],"article":[4],"is":[5,52,81,92,98],"to":[6,103],"study":[7],"the":[8,12,49,57,65,73,79,88,93],"hydrodynamic":[9,50],"limit":[10],"symmetric":[13],"exclusion":[14],"process":[15],"with":[16,22],"long":[17],"jumps":[18,32],"and":[19,48],"in":[20,35,56,64,95],"contact":[21],"infinitely":[23],"extended":[24],"reservoirs":[25],"for":[26],"a":[27,38,53,61,99],"particular":[28],"critical":[29,74],"regime.":[30],"are":[33],"given":[34],"terms":[36],"transition":[39,100],"probability":[40],"that":[41,76],"can":[42],"have":[43],"finite":[44],"or":[45,60],"infinite":[46,82],"variance":[47,80],"equation":[51],"diffusive":[54,102],"equation,":[55,63],"former":[58],"case,":[59,75],"fractional":[62],"latter":[66],"case.":[67],"In":[68],"work":[70],"we":[71],"treat":[72],"is,":[77],"when":[78],"but":[83],"logarithm":[85],"order":[86],"wrt":[87],"system":[89],"size.":[90],"This":[91],"case":[94],"which":[96],"there":[97],"from":[101],"super-diffusive":[104],"behavior.":[105]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2020-04-17T00:00:00"}
