{"id":"https://openalex.org/W2000092349","doi":"https://doi.org/10.1002/pssb.200301774","title":"Activated escape over oscillating barriers: The case of many dimensions","display_name":"Activated escape over oscillating barriers: The case of many dimensions","publication_year":2003,"publication_date":"2003-04-24","ids":{"openalex":"https://openalex.org/W2000092349","doi":"https://doi.org/10.1002/pssb.200301774","mag":"2000092349"},"language":"en","primary_location":{"id":"doi:10.1002/pssb.200301774","doi":"https://doi.org/10.1002/pssb.200301774","is_oa":false,"landing_page_url":"https://doi.org/10.1002/pssb.200301774","pdf_url":null,"source":{"id":"https://openalex.org/S71689831","display_name":"physica status solidi (b)","issn_l":"0370-1972","issn":["0370-1972","1521-3951"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"physica status solidi (b)","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/cond-mat/0212117","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"J. Lehmann","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I179225836","display_name":"University of Augsburg","ror":"https://ror.org/03p14d497","country_code":"DE","type":"education","lineage":["https://openalex.org/I179225836"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"J. Lehmann","raw_affiliation_strings":["Institut fu\u0308r Physik, Universita\u0308t Augsburg, Universita\u0308tsstra\u00dfe 1, 86135 Augsburg, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut fu\u0308r Physik, Universita\u0308t Augsburg, Universita\u0308tsstra\u00dfe 1, 86135 Augsburg, Germany","institution_ids":["https://openalex.org/I179225836"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038407060","display_name":"Peter Reimann","orcid":"https://orcid.org/0000-0001-5577-9486","observed_orcids":["https://orcid.org/0000-0001-5577-9486","https://orcid.org/0000-0002-3869-2239"]},"institutions":[{"id":"https://openalex.org/I20121455","display_name":"Bielefeld University","ror":"https://ror.org/02hpadn98","country_code":"DE","type":"education","lineage":["https://openalex.org/I20121455"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"P. Reimann","raw_affiliation_strings":["Fakulta\u0308t fu\u0308r Physik, Universita\u0308t Bielefeld, Universita\u0308tsstra\u00dfe 25, 33615 Bielefeld, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Fakulta\u0308t fu\u0308r Physik, Universita\u0308t Bielefeld, Universita\u0308tsstra\u00dfe 25, 33615 Bielefeld, Germany","institution_ids":["https://openalex.org/I20121455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058886467","display_name":"Peter H\u00e4nggi A","orcid":"https://orcid.org/0000-0001-6679-2563","observed_orcids":["https://orcid.org/0000-0001-6679-2563"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"P. H\u00e4nggi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058886467"],"corresponding_institution_ids":[],"apc_list":{"value":3650,"currency":"USD","value_usd":3650},"apc_paid":null,"fwci":2.1295,"has_fulltext":true,"cited_by_count":31,"citation_normalized_percentile":{"value":0.87028032,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"237","issue":"1","first_page":"53","last_page":"71"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9843999743461609,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9843999743461609,"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/T11261","display_name":"Quantum chaos and dynamical systems","score":0.007600000128149986,"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/T12261","display_name":"Statistical Mechanics and Entropy","score":0.0024999999441206455,"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/oscillating-barrier","display_name":"oscillating barrier","score":0.8349999785423279},{"id":"https://openalex.org/keywords/path-integral","display_name":"path integral","score":0.621999979019165},{"id":"https://openalex.org/keywords/reaction-rate","display_name":"reaction rate","score":0.8019999861717224},{"id":"https://openalex.org/keywords/periodically-driven-systems","display_name":"periodically driven systems","score":0.8309999704360962},{"id":"https://openalex.org/keywords/metastable-potential","display_name":"metastable potential","score":0.6850000023841858},{"id":"https://openalex.org/keywords/sinusoidal-driving","display_name":"sinusoidal driving","score":0.515999972820282}],"concepts":[{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.5515000224113464},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5418999791145325},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.504800021648407},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4830999970436096},{"id":"https://openalex.org/C110407247","wikidata":"https://www.wikidata.org/wiki/Q122508","display_name":"Inertia","level":2,"score":0.47540000081062317},{"id":"https://openalex.org/C204530211","wikidata":"https://www.wikidata.org/wiki/Q752823","display_name":"Thermal","level":2,"score":0.4422000050544739},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.43810001015663147},{"id":"https://openalex.org/C2778517922","wikidata":"https://www.wikidata.org/wiki/Q7140482","display_name":"Particle (ecology)","level":2,"score":0.392300009727478},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.37439998984336853},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.37059998512268066},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.36320000886917114},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.3122999966144562},{"id":"https://openalex.org/C2984722928","wikidata":"https://www.wikidata.org/wiki/Q904618","display_name":"Thermal inertia","level":3,"score":0.31189998984336853},{"id":"https://openalex.org/C10238366","wikidata":"https://www.wikidata.org/wiki/Q165618","display_name":"Moment of inertia","level":2,"score":0.30489999055862427},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.30079999566078186},{"id":"https://openalex.org/C90559484","wikidata":"https://www.wikidata.org/wiki/Q778379","display_name":"Expression (computer science)","level":2,"score":0.288100004196167},{"id":"https://openalex.org/C192885726","wikidata":"https://www.wikidata.org/wiki/Q4751128","display_name":"Analytic element method","level":3,"score":0.2815000116825104},{"id":"https://openalex.org/C145912823","wikidata":"https://www.wikidata.org/wiki/Q113558","display_name":"Dynamics (music)","level":2,"score":0.2662000060081482},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.2506999969482422}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1002/pssb.200301774","doi":"https://doi.org/10.1002/pssb.200301774","is_oa":false,"landing_page_url":"https://doi.org/10.1002/pssb.200301774","pdf_url":null,"source":{"id":"https://openalex.org/S71689831","display_name":"physica status solidi (b)","issn_l":"0370-1972","issn":["0370-1972","1521-3951"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-d","jufo-1","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"physica status solidi (b)","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:cond-mat/0212117","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/cond-mat/0212117","pdf_url":"https://arxiv.org/pdf/cond-mat/0212117","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.145.4868","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.145.4868","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.physik.uni-augsburg.de/theo1/hanggi/Papers/320.pdf","raw_type":"text"},{"id":"pmh:oai:pub.librecat.org:1611795","doi":null,"is_oa":false,"landing_page_url":"https://pub.uni-bielefeld.de/record/1611795","pdf_url":null,"source":{"id":"https://openalex.org/S4306401671","display_name":"PUB \u2013 Publications at Bielefeld University (Bielefeld University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I20121455","host_organization_name":"Bielefeld University","host_organization_lineage":["https://openalex.org/I20121455"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Lehmann J, Reimann P, Hanggi P. Activated escape over oscillating barriers: The case of many dimensions. <em>PHYSICA STATUS SOLIDI B-BASIC RESEARCH</em>. 2003;237(1):53-71.","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pub.uni-bielefeld.de:1611795","doi":null,"is_oa":false,"landing_page_url":"https://pub.uni-bielefeld.de/record/1611795","pdf_url":null,"source":{"id":"https://openalex.org/S4306401624","display_name":"Publikationen an der Universit\u00e4t Bielefeld (Universit\u00e4t Bielefeld)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I20121455","host_organization_name":"Bielefeld University","host_organization_lineage":["https://openalex.org/I20121455"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Lehmann J, Reimann P, Hanggi P. Activated escape over oscillating barriers: The case of many dimensions. <em>PHYSICA STATUS SOLIDI B-BASIC RESEARCH</em>. 2003;237(1):53-71.","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:uni-augsburg.opus-bayern.de:43291","doi":null,"is_oa":false,"landing_page_url":"https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/43291","pdf_url":null,"source":{"id":"https://openalex.org/S4306400930","display_name":"OPUS (Augsburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I119916105","host_organization_name":"Augsburg University","host_organization_lineage":["https://openalex.org/I119916105"],"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":"article"},{"id":"doi:10.48550/arxiv.cond-mat/0212117","doi":"https://doi.org/10.48550/arxiv.cond-mat/0212117","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.cond-mat/0212117","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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:cond-mat/0212117","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/cond-mat/0212117","pdf_url":"https://arxiv.org/pdf/cond-mat/0212117","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":[{"id":"https://openalex.org/F4320322572","display_name":"Studienstiftung des Deutschen Volkes","ror":"https://ror.org/05xwwfy96"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2000092349.pdf","grobid_xml":"https://content.openalex.org/works/W2000092349.grobid-xml"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W657763710","https://openalex.org/W1507136885","https://openalex.org/W1544127299","https://openalex.org/W1544741952","https://openalex.org/W1600747466","https://openalex.org/W1608844245","https://openalex.org/W1969237727","https://openalex.org/W1970336634","https://openalex.org/W1977839644","https://openalex.org/W1979792420","https://openalex.org/W1992847144","https://openalex.org/W1996116074","https://openalex.org/W1998297097","https://openalex.org/W2003267463","https://openalex.org/W2008045156","https://openalex.org/W2008506646","https://openalex.org/W2009645927","https://openalex.org/W2010081740","https://openalex.org/W2010213984","https://openalex.org/W2012901551","https://openalex.org/W2022110013","https://openalex.org/W2025131658","https://openalex.org/W2029010014","https://openalex.org/W2031256821","https://openalex.org/W2031341951","https://openalex.org/W2035789872","https://openalex.org/W2039640860","https://openalex.org/W2046286471","https://openalex.org/W2053235356","https://openalex.org/W2054107952","https://openalex.org/W2068218069","https://openalex.org/W2070351351","https://openalex.org/W2070378832","https://openalex.org/W2077626691","https://openalex.org/W2084892665","https://openalex.org/W2085266415","https://openalex.org/W2086290258","https://openalex.org/W2088348163","https://openalex.org/W2092144432","https://openalex.org/W2114849571","https://openalex.org/W2121326637","https://openalex.org/W2139095346","https://openalex.org/W2141496833","https://openalex.org/W2150654078","https://openalex.org/W2152696833","https://openalex.org/W2159299032","https://openalex.org/W2241556088","https://openalex.org/W2782326998","https://openalex.org/W3021753277","https://openalex.org/W4211019631","https://openalex.org/W4231530357","https://openalex.org/W4237038455","https://openalex.org/W4241638632","https://openalex.org/W4241689568","https://openalex.org/W4241753282","https://openalex.org/W4254241916","https://openalex.org/W4300473572"],"related_works":["https://openalex.org/W2001645375","https://openalex.org/W2564786070","https://openalex.org/W2070378832","https://openalex.org/W2035789872","https://openalex.org/W1969237727","https://openalex.org/W2045637634","https://openalex.org/W2085930864","https://openalex.org/W2085502891","https://openalex.org/W2019465696","https://openalex.org/W2006170889"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"present":[2],"a":[3,38,47,60,69],"novel":[4],"path\u2010integral":[5],"method":[6],"for":[7,34],"the":[8,35],"determination":[9],"of":[10,37],"time\u2010dependent":[11],"and":[12],"time\u2010averaged":[13],"reaction":[14],"rates":[15],"in":[16,46],"multidimensional,":[17],"periodically":[18],"driven":[19],"escape":[20],"problems":[21],"at":[22],"weak":[23],"thermal":[24],"noise.":[25],"The":[26],"so":[27],"obtained":[28],"general":[29],"expressions":[30],"are":[31],"evaluated":[32],"explicitly":[33],"situation":[36],"sinusoidally":[39],"driven,":[40],"damped":[41],"particle":[42],"with":[43,54,64],"inertia":[44],"moving":[45],"metastable,":[48],"piecewise":[49],"parabolic":[50],"potential.":[51],"A":[52],"comparison":[53],"data":[55],"from":[56],"Monte\u2010Carlo":[57],"simulations":[58],"yields":[59],"very":[61],"good":[62],"agreement":[63],"our":[65],"analytic":[66],"results":[67],"over":[68],"wide":[70],"parameter":[71],"range.":[72]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2016-06-24T00:00:00"}