{"id":"https://openalex.org/W2068181195","doi":"https://doi.org/10.1137/110851882","title":"Kramers and Non-Kramers Phase Transitions in Many-Particle Systems with Dynamical Constraint","display_name":"Kramers and Non-Kramers Phase Transitions in Many-Particle Systems with Dynamical Constraint","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2068181195","doi":"https://doi.org/10.1137/110851882","mag":"2068181195"},"language":"en","primary_location":{"id":"doi:10.1137/110851882","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110851882","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1110.3518","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101403112","display_name":"Michael Herrmann","orcid":"https://orcid.org/0000-0002-5488-9824"},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Michael Herrmann","raw_affiliation_strings":["Universit\u00e4t des Saarlandes, FR Mathematik,"],"affiliations":[{"raw_affiliation_string":"Universit\u00e4t des Saarlandes, FR Mathematik,","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090772598","display_name":"Barbara Niethammer","orcid":"https://orcid.org/0000-0003-0092-4900"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Barbara Niethammer","raw_affiliation_strings":["University of Oxford, Oxford Centre for Nonlinear PDE,"],"affiliations":[{"raw_affiliation_string":"University of Oxford, Oxford Centre for Nonlinear PDE,","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048197687","display_name":"Juan J. L. Vel\u00e1zquez","orcid":"https://orcid.org/0000-0002-7397-5525"},"institutions":[{"id":"https://openalex.org/I135140700","display_name":"University of Bonn","ror":"https://ror.org/041nas322","country_code":"DE","type":"education","lineage":["https://openalex.org/I135140700"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Juan J. L. Vel\u00e1zquez","raw_affiliation_strings":["Universit\u00e4t Bonn, Institut f\u00fcr Angewandte Mathematik,"],"affiliations":[{"raw_affiliation_string":"Universit\u00e4t Bonn, Institut f\u00fcr Angewandte Mathematik,","institution_ids":["https://openalex.org/I135140700"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101403112"],"corresponding_institution_ids":["https://openalex.org/I91712215"],"apc_list":null,"apc_paid":null,"fwci":1.4548,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.81752016,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"10","issue":"3","first_page":"818","last_page":"852"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9995999932289124,"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/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9980000257492065,"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/constraint","display_name":"Constraint (computer-aided design)","score":0.7064879536628723},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.6743921041488647},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.6175984144210815},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5916566252708435},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5731152296066284},{"id":"https://openalex.org/keywords/phase-transition","display_name":"Phase transition","score":0.544124186038971},{"id":"https://openalex.org/keywords/nonlinear-dynamical-systems","display_name":"Nonlinear dynamical systems","score":0.5291476845741272},{"id":"https://openalex.org/keywords/dynamical-system","display_name":"Dynamical system (definition)","score":0.4829199016094208},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3592025637626648},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.344786137342453},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3406505584716797},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.1689281463623047}],"concepts":[{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.7064879536628723},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.6743921041488647},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.6175984144210815},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5916566252708435},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5731152296066284},{"id":"https://openalex.org/C149288129","wikidata":"https://www.wikidata.org/wiki/Q185357","display_name":"Phase transition","level":2,"score":0.544124186038971},{"id":"https://openalex.org/C2983030100","wikidata":"https://www.wikidata.org/wiki/Q638328","display_name":"Nonlinear dynamical systems","level":3,"score":0.5291476845741272},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.4829199016094208},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3592025637626648},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.344786137342453},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3406505584716797},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.1689281463623047},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/110851882","is_oa":false,"landing_page_url":"https://doi.org/10.1137/110851882","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"},{"id":"pmh:oai:arXiv.org:1110.3518","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1110.3518","pdf_url":"https://arxiv.org/pdf/1110.3518","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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:10.1.1.228.8540","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.228.8540","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.uni-sb.de/service/preprints/preprint299.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.749.1631","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.749.1631","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1110.3518.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1110.3518","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1110.3518","pdf_url":"https://arxiv.org/pdf/1110.3518","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":[{"score":0.46000000834465027,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G6135727698","display_name":null,"funder_award_id":"EP/E035027/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1967064299","https://openalex.org/W1989670440","https://openalex.org/W1990213348","https://openalex.org/W1999947687","https://openalex.org/W2033570098","https://openalex.org/W2045971645","https://openalex.org/W2046716959","https://openalex.org/W2060448102","https://openalex.org/W2071048859","https://openalex.org/W2078211541","https://openalex.org/W2085266415","https://openalex.org/W2092144432","https://openalex.org/W2095663924","https://openalex.org/W2141555781","https://openalex.org/W2142394914","https://openalex.org/W2147268278","https://openalex.org/W2601146533","https://openalex.org/W2963454570","https://openalex.org/W3098850786","https://openalex.org/W4250186699"],"related_works":["https://openalex.org/W4250831671","https://openalex.org/W2230606337","https://openalex.org/W2050258033","https://openalex.org/W2931186781","https://openalex.org/W2592826714","https://openalex.org/W4390075452","https://openalex.org/W3158556635","https://openalex.org/W2090738527","https://openalex.org/W3174433017","https://openalex.org/W2039058571"],"abstract_inverted_index":{"We":[0],"study":[1],"a":[2,13],"Fokker--Planck":[3],"equation":[4],"with":[5],"double-well":[6],"potential":[7],"that":[8],"is":[9],"nonlocally":[10],"driven":[11],"by":[12],"dynamical":[14,34],"constraint":[15],"and":[16,31],"involves":[17],"two":[18],"small":[19],"parameters.":[20],"Relying":[21],"on":[22],"formal":[23],"asymptotic":[24],"analysis,":[25],"we":[26],"identify":[27],"several":[28],"parameter":[29],"regimes":[30],"derive":[32],"reduced":[33],"models":[35],"for":[36],"different":[37],"types":[38],"of":[39],"phase":[40],"transitions.":[41]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
