{"id":"https://openalex.org/W2000523344","doi":"https://doi.org/10.1103/physrevlett.90.104101","title":"Aging in Subdiffusion Generated by a Deterministic Dynamical System","display_name":"Aging in Subdiffusion Generated by a Deterministic Dynamical System","publication_year":2003,"publication_date":"2003-03-12","ids":{"openalex":"https://openalex.org/W2000523344","doi":"https://doi.org/10.1103/physrevlett.90.104101","mag":"2000523344","pmid":"https://pubmed.ncbi.nlm.nih.gov/12688996"},"language":"en","primary_location":{"id":"doi:10.1103/physrevlett.90.104101","doi":"https://doi.org/10.1103/physrevlett.90.104101","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevlett.90.104101","pdf_url":null,"source":{"id":"https://openalex.org/S24807848","display_name":"Physical Review Letters","issn_l":"0031-9007","issn":["0031-9007","1079-7114","1092-0145"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","ki-jl-2","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Letters","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W2000523344"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","pubmed"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/cond-mat/0312231","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075146702","display_name":"Eli Barkai","orcid":"https://orcid.org/0000-0002-9518-6949","observed_orcids":["https://orcid.org/0000-0002-9518-6949"]},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Eli Barkai","raw_affiliation_strings":["Department of Chemistry and Biochemistry, Notre Dame University, Notre Dame, Indiana 46556, USA. jbarkai@nd.edu","Department of Chemistry and Biochemistry, Notre Dame University, Notre Dame, Indiana 46556"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Chemistry and Biochemistry, Notre Dame University, Notre Dame, Indiana 46556, USA. jbarkai@nd.edu","institution_ids":["https://openalex.org/I107639228"]},{"raw_affiliation_string":"Department of Chemistry and Biochemistry, Notre Dame University, Notre Dame, Indiana 46556","institution_ids":["https://openalex.org/I107639228"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5075146702"],"corresponding_institution_ids":["https://openalex.org/I107639228"],"apc_list":{"value":3750,"currency":"USD","value_usd":3750},"apc_paid":null,"fwci":12.9017,"has_fulltext":true,"cited_by_count":169,"citation_normalized_percentile":{"value":0.98873072,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":"90","issue":"10","first_page":"104101","last_page":"104101"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9878000020980835,"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"}},"topics":[{"id":"https://openalex.org/T10288","display_name":"Fractional Differential Equations Solutions","score":0.9878000020980835,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.007499999832361937,"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"}},{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.0006000000284984708,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/aging","display_name":"aging","score":0.972000002861023},{"id":"https://openalex.org/keywords/subdiffusion","display_name":"subdiffusion","score":0.9980000257492065},{"id":"https://openalex.org/keywords/deterministic-dynamical-systems","display_name":"deterministic dynamical systems","score":0.843999981880188},{"id":"https://openalex.org/keywords/nonlinear-maps","display_name":"nonlinear maps","score":0.9049999713897705},{"id":"https://openalex.org/keywords/continuous-time-random-walk","display_name":"continuous time random walk","score":0.9269999861717224},{"id":"https://openalex.org/keywords/fractional-diffusion-equation","display_name":"fractional diffusion equation","score":0.8980000019073486},{"id":"https://openalex.org/keywords/anomalous-diffusion","display_name":"anomalous diffusion","score":0.9369999766349792},{"id":"https://openalex.org/keywords/low-dimensional-dynamical-systems","display_name":"low-dimensional dynamical systems","score":0.7720000147819519}],"concepts":[{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.7625413537025452},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.5906920433044434},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5770759582519531},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.5692449808120728},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.5392604470252991},{"id":"https://openalex.org/C69357855","wikidata":"https://www.wikidata.org/wiki/Q163214","display_name":"Diffusion","level":2,"score":0.5306574106216431},{"id":"https://openalex.org/C164602753","wikidata":"https://www.wikidata.org/wiki/Q567544","display_name":"Anomalous diffusion","level":3,"score":0.5193384885787964},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.49964475631713867},{"id":"https://openalex.org/C2983030100","wikidata":"https://www.wikidata.org/wiki/Q638328","display_name":"Nonlinear dynamical systems","level":3,"score":0.48337405920028687},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.4828108251094818},{"id":"https://openalex.org/C2777451387","wikidata":"https://www.wikidata.org/wiki/Q18206182","display_name":"Continuous-time random walk","level":3,"score":0.4783334732055664},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4462243914604187},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.303391695022583},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25135329365730286},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.10454210638999939},{"id":"https://openalex.org/C3017618536","wikidata":"https://www.wikidata.org/wiki/Q304994","display_name":"Innovation diffusion","level":2,"score":0.08391502499580383},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C56739046","wikidata":"https://www.wikidata.org/wiki/Q192060","display_name":"Knowledge management","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1103/physrevlett.90.104101","doi":"https://doi.org/10.1103/physrevlett.90.104101","is_oa":false,"landing_page_url":"https://doi.org/10.1103/physrevlett.90.104101","pdf_url":null,"source":{"id":"https://openalex.org/S24807848","display_name":"Physical Review Letters","issn_l":"0031-9007","issn":["0031-9007","1079-7114","1092-0145"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-a","jufo-3","ki-jl-2","medline","norway-2","poland-200","russia-white-list-1","vabb-shw"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical Review Letters","raw_type":"journal-article"},{"id":"pmid:12688996","doi":null,"is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/12688996","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Physical review letters","raw_type":"Journal Article"},{"id":"pmh:oai:arXiv.org:cond-mat/0312231","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/cond-mat/0312231","pdf_url":"https://arxiv.org/pdf/cond-mat/0312231","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":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:cond-mat/0312231","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/cond-mat/0312231","pdf_url":"https://arxiv.org/pdf/cond-mat/0312231","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":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W51346659","https://openalex.org/W186186683","https://openalex.org/W1487742677","https://openalex.org/W1496126658","https://openalex.org/W1544213665","https://openalex.org/W1977733098","https://openalex.org/W1991162958","https://openalex.org/W1992362374","https://openalex.org/W1992659238","https://openalex.org/W1992705973","https://openalex.org/W2001966464","https://openalex.org/W2009873874","https://openalex.org/W2012021517","https://openalex.org/W2048417820","https://openalex.org/W2048954277","https://openalex.org/W2053363673","https://openalex.org/W2056031508","https://openalex.org/W2064361774","https://openalex.org/W2073811334","https://openalex.org/W2073967070","https://openalex.org/W2078064493","https://openalex.org/W2086427669","https://openalex.org/W2111271983","https://openalex.org/W2116960250","https://openalex.org/W2160340689","https://openalex.org/W4239160261","https://openalex.org/W4250515647","https://openalex.org/W4302309959"],"related_works":["https://openalex.org/W1642896255","https://openalex.org/W2000346151","https://openalex.org/W3157027218","https://openalex.org/W4235952177","https://openalex.org/W2073811334","https://openalex.org/W3177437398","https://openalex.org/W2014083035","https://openalex.org/W2050554175","https://openalex.org/W2997834374"],"abstract_inverted_index":{"We":[0,30],"investigate":[1],"aging":[2,25,39,51],"behavior":[3,52],"in":[4,56],"a":[5,9],"simple":[6],"dynamical":[7,60],"system:":[8],"nonlinear":[10],"map":[11],"which":[12,42],"generates":[13],"subdiffusion":[14],"deterministically.":[15],"Asymptotic":[16],"behaviors":[17],"of":[18,44],"the":[19],"diffusion":[20,40],"process":[21],"are":[22,35],"described":[23,36],"using":[24],"continuous":[26],"time":[27],"random":[28],"walks.":[29],"show":[31],"how":[32],"these":[33],"processes":[34],"by":[37],"an":[38],"equation":[41],"is":[43],"fractional":[45],"order.":[46],"Our":[47],"work":[48],"demonstrates":[49],"that":[50],"can":[53],"be":[54],"found":[55],"deterministic":[57],"low":[58],"dimensional":[59],"systems.":[61]},"counts_by_year":[{"year":2026,"cited_by_count":8},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":10},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":13},{"year":2014,"cited_by_count":16},{"year":2013,"cited_by_count":11},{"year":2012,"cited_by_count":3}],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2016-06-24T00:00:00"}