{"id":"https://openalex.org/W2083227641","doi":"https://doi.org/10.1137/030600308","title":"An Averaging Principle for Fast Degrees of Freedom Exhibiting Long-Term Correlations","display_name":"An Averaging Principle for Fast Degrees of Freedom Exhibiting Long-Term Correlations","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2083227641","doi":"https://doi.org/10.1137/030600308","mag":"2083227641"},"language":"en","primary_location":{"id":"doi:10.1137/030600308","is_oa":false,"landing_page_url":"https://doi.org/10.1137/030600308","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 & 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/A5108759740","display_name":"Christof Sch\u00fctte","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Christof Sch\u00fctte","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082429055","display_name":"Jessika Walter","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jessika Walter","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049694528","display_name":"Carsten Hartmann","orcid":"https://orcid.org/0000-0002-7710-6888"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Carsten Hartmann","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5009945042","display_name":"Wilhelm Huisinga","orcid":"https://orcid.org/0000-0002-5249-3914"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wilhelm Huisinga","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5108759740"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.2156,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.8786528,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"2","issue":"3","first_page":"501","last_page":"526"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9994999766349792,"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/T10044","display_name":"Protein Structure and Dynamics","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/degrees-of-freedom","display_name":"Degrees of freedom (physics and chemistry)","score":0.8562713861465454},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.673772394657135},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6175509095191956},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.5668853521347046},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.5153862237930298},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.46984925866127014},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.46856218576431274},{"id":"https://openalex.org/keywords/stochastic-process","display_name":"Stochastic process","score":0.44138142466545105},{"id":"https://openalex.org/keywords/jump-process","display_name":"Jump process","score":0.4205301105976105},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.414695143699646},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10064852237701416},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09542933106422424}],"concepts":[{"id":"https://openalex.org/C208081375","wikidata":"https://www.wikidata.org/wiki/Q274502","display_name":"Degrees of freedom (physics and chemistry)","level":2,"score":0.8562713861465454},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.673772394657135},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6175509095191956},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.5668853521347046},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.5153862237930298},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.46984925866127014},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.46856218576431274},{"id":"https://openalex.org/C8272713","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Stochastic process","level":2,"score":0.44138142466545105},{"id":"https://openalex.org/C2776825372","wikidata":"https://www.wikidata.org/wiki/Q3922411","display_name":"Jump process","level":3,"score":0.4205301105976105},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.414695143699646},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10064852237701416},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09542933106422424},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/030600308","is_oa":false,"landing_page_url":"https://doi.org/10.1137/030600308","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 & Simulation","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.381.3740","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.381.3740","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://page.mi.fu-berlin.de/chartman/60030.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7900000214576721}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W32046991","https://openalex.org/W1481616730","https://openalex.org/W1634894341","https://openalex.org/W1761123763","https://openalex.org/W1763674891","https://openalex.org/W1870252986","https://openalex.org/W1968716084","https://openalex.org/W1979977858","https://openalex.org/W1980700169","https://openalex.org/W1981659415","https://openalex.org/W1989248421","https://openalex.org/W1994782559","https://openalex.org/W1995713768","https://openalex.org/W2007898019","https://openalex.org/W2008588947","https://openalex.org/W2009447971","https://openalex.org/W2013164703","https://openalex.org/W2016887696","https://openalex.org/W2019266755","https://openalex.org/W2021611402","https://openalex.org/W2025335914","https://openalex.org/W2031828766","https://openalex.org/W2034631828","https://openalex.org/W2041753261","https://openalex.org/W2046290306","https://openalex.org/W2046673343","https://openalex.org/W2046743588","https://openalex.org/W2047246226","https://openalex.org/W2051560313","https://openalex.org/W2061514871","https://openalex.org/W2074388175","https://openalex.org/W2080566850","https://openalex.org/W2080960036","https://openalex.org/W2090086642","https://openalex.org/W2099490136","https://openalex.org/W2104049095","https://openalex.org/W2122749415","https://openalex.org/W2124138287","https://openalex.org/W2139139723","https://openalex.org/W2139551162","https://openalex.org/W2142556545","https://openalex.org/W2147490812","https://openalex.org/W2147848673","https://openalex.org/W2156081875","https://openalex.org/W2161268196","https://openalex.org/W2161776897","https://openalex.org/W2164193727","https://openalex.org/W2171441956","https://openalex.org/W2178586385","https://openalex.org/W3037706425","https://openalex.org/W3041070869","https://openalex.org/W3106453466","https://openalex.org/W4241638632"],"related_works":["https://openalex.org/W2288042208","https://openalex.org/W3017619830","https://openalex.org/W155641856","https://openalex.org/W3141650418","https://openalex.org/W362430865","https://openalex.org/W2738756144","https://openalex.org/W4287811329","https://openalex.org/W2164678804","https://openalex.org/W2568095913","https://openalex.org/W2009219785"],"abstract_inverted_index":{"This":[0],"article":[1],"is":[2,23,101,136],"concerned":[3],"with":[4,15,95],"the":[5,26,62,68,88,105,109,115,123],"averaging":[6,28],"principle":[7,29],"and":[8,17,44,73,112],"its":[9,42],"extensions":[10],"for":[11,41],"stochastic":[12],"dynamical":[13],"systems":[14],"fast":[16,69,79],"slow":[18],"degrees":[19,70,80],"of":[20,67,71,81,122],"freedom.":[21],"It":[22],"demonstrated":[24],"how":[25,35],"\"conventional\"":[27],"results":[30],"from":[31,133],"asymptotic":[32],"multiscale":[33],"analysis,":[34],"one":[36],"can":[37],"construct":[38],"an":[39,53],"indicator":[40],"(in-)appropriateness,":[43],"how,":[45],"if":[46,77],"inappropriate,":[47],"it":[48],"may":[49,74],"be":[50],"extended":[51],"into":[52],"improved":[54,89],"approximation.":[55],"The":[56],"conventional":[57],"scheme":[58,90],"contains":[59],"averages":[60,94,111],"over":[61],"entire":[63],"accessible":[64],"state":[65],"space":[66],"freedom":[72,82],"thus":[75,113],"fail":[76],"these":[78],"exhibit":[83],"long-term":[84,117],"(auto-)correlations.":[85],"In":[86],"contrast,":[87],"combines":[91],"several":[92],"conditional":[93,110],"a":[96],"Markov":[97],"jump":[98],"process":[99,107],"that":[100],"designed":[102],"to":[103,131],"represent":[104],"flipping":[106],"between":[108],"incorporates":[114],"important":[116,120],"correlations.":[118],"All":[119],"steps":[121],"derivation":[124],"are":[125],"illustrated":[126],"by":[127],"numerical":[128],"experiments.":[129],"Application":[130],"problems":[132],"molecular":[134],"dynamics":[135],"discussed.":[137]},"counts_by_year":[{"year":2022,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}