{"id":"https://openalex.org/W4412695451","doi":"https://doi.org/10.3390/e27080802","title":"Ergodicity Breaking and Ageing in a Vibrational Motor","display_name":"Ergodicity Breaking and Ageing in a Vibrational Motor","publication_year":2025,"publication_date":"2025-07-28","ids":{"openalex":"https://openalex.org/W4412695451","doi":"https://doi.org/10.3390/e27080802","pmid":"https://pubmed.ncbi.nlm.nih.gov/40870274"},"language":"en","primary_location":{"id":"doi:10.3390/e27080802","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27080802","pdf_url":"https://www.mdpi.com/1099-4300/27/8/802/pdf?version=1753692231","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1099-4300/27/8/802/pdf?version=1753692231","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Yaqin Yang","orcid":"https://orcid.org/0009-0008-9245-7193"},"institutions":[{"id":"https://openalex.org/I146071755","display_name":"Kunming University","ror":"https://ror.org/035rhx828","country_code":"CN","type":"education","lineage":["https://openalex.org/I146071755"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yaqin Yang","raw_affiliation_strings":["Key Laboratory of Artificial Microstructures in Yunnan Higher Education Institutions, School of Physical Science and Technology, Kunming University, Kunming 650214, China"],"raw_orcid":"https://orcid.org/0009-0008-9245-7193","affiliations":[{"raw_affiliation_string":"Key Laboratory of Artificial Microstructures in Yunnan Higher Education Institutions, School of Physical Science and Technology, Kunming University, Kunming 650214, China","institution_ids":["https://openalex.org/I146071755"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084459014","display_name":"Hongda Shi","orcid":"https://orcid.org/0009-0005-8295-4864"},"institutions":[{"id":"https://openalex.org/I146071755","display_name":"Kunming University","ror":"https://ror.org/035rhx828","country_code":"CN","type":"education","lineage":["https://openalex.org/I146071755"]},{"id":"https://openalex.org/I189210763","display_name":"Yunnan University","ror":"https://ror.org/0040axw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I189210763"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongda Shi","raw_affiliation_strings":["Department of Physics, Yunnan University, Kunming 650091, China","Key Laboratory of Artificial Microstructures in Yunnan Higher Education Institutions, School of Physical Science and Technology, Kunming University, Kunming 650214, China"],"raw_orcid":"https://orcid.org/0009-0005-8295-4864","affiliations":[{"raw_affiliation_string":"Department of Physics, Yunnan University, Kunming 650091, China","institution_ids":["https://openalex.org/I189210763"]},{"raw_affiliation_string":"Key Laboratory of Artificial Microstructures in Yunnan Higher Education Institutions, School of Physical Science and Technology, Kunming University, Kunming 650214, China","institution_ids":["https://openalex.org/I146071755"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020448121","display_name":"Luchun Du","orcid":"https://orcid.org/0000-0003-3571-7637"},"institutions":[{"id":"https://openalex.org/I189210763","display_name":"Yunnan University","ror":"https://ror.org/0040axw97","country_code":"CN","type":"education","lineage":["https://openalex.org/I189210763"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Luchun Du","raw_affiliation_strings":["Department of Physics, Yunnan University, Kunming 650091, China"],"raw_orcid":"https://orcid.org/0000-0003-3571-7637","affiliations":[{"raw_affiliation_string":"Department of Physics, Yunnan University, Kunming 650091, China","institution_ids":["https://openalex.org/I189210763"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034627122","display_name":"Wei Guo","orcid":"https://orcid.org/0000-0002-5645-4621"},"institutions":[{"id":"https://openalex.org/I146071755","display_name":"Kunming University","ror":"https://ror.org/035rhx828","country_code":"CN","type":"education","lineage":["https://openalex.org/I146071755"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wei Guo","raw_affiliation_strings":["Key Laboratory of Artificial Microstructures in Yunnan Higher Education Institutions, School of Physical Science and Technology, Kunming University, Kunming 650214, China"],"raw_orcid":"https://orcid.org/0000-0002-5645-4621","affiliations":[{"raw_affiliation_string":"Key Laboratory of Artificial Microstructures in Yunnan Higher Education Institutions, School of Physical Science and Technology, Kunming University, Kunming 650214, China","institution_ids":["https://openalex.org/I146071755"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5034627122"],"corresponding_institution_ids":["https://openalex.org/I146071755"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.13419928,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"27","issue":"8","first_page":"802","last_page":"802"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11513","display_name":"stochastic dynamics and bifurcation","score":0.9988999962806702,"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":0.9988999962806702,"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/T11187","display_name":"Nonlinear Dynamics and Pattern Formation","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11520","display_name":"Advanced Thermodynamics and Statistical Mechanics","score":0.9970999956130981,"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/ergodicity","display_name":"Ergodicity","score":0.9108218550682068},{"id":"https://openalex.org/keywords/ergodic-theory","display_name":"Ergodic theory","score":0.8931509852409363},{"id":"https://openalex.org/keywords/amplitude","display_name":"Amplitude","score":0.7680190801620483},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.5591229200363159},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.5489122271537781},{"id":"https://openalex.org/keywords/ageing","display_name":"Ageing","score":0.47673189640045166},{"id":"https://openalex.org/keywords/dynamical-systems-theory","display_name":"Dynamical systems theory","score":0.4361836314201355},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2191345989704132},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.18974825739860535},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12208980321884155}],"concepts":[{"id":"https://openalex.org/C201779956","wikidata":"https://www.wikidata.org/wiki/Q5426803","display_name":"Ergodicity","level":2,"score":0.9108218550682068},{"id":"https://openalex.org/C122044880","wikidata":"https://www.wikidata.org/wiki/Q5498822","display_name":"Ergodic theory","level":2,"score":0.8931509852409363},{"id":"https://openalex.org/C180205008","wikidata":"https://www.wikidata.org/wiki/Q159190","display_name":"Amplitude","level":2,"score":0.7680190801620483},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.5591229200363159},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5489122271537781},{"id":"https://openalex.org/C500499127","wikidata":"https://www.wikidata.org/wiki/Q332154","display_name":"Ageing","level":2,"score":0.47673189640045166},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.4361836314201355},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2191345989704132},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.18974825739860535},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12208980321884155},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.3390/e27080802","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27080802","pdf_url":"https://www.mdpi.com/1099-4300/27/8/802/pdf?version=1753692231","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},{"id":"pmid:40870274","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/40870274","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,"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":"Entropy (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:dc1480b2fc9f4b1b8b5695de1a2713a4","is_oa":true,"landing_page_url":"https://doaj.org/article/dc1480b2fc9f4b1b8b5695de1a2713a4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Entropy, Vol 27, Iss 8, p 802 (2025)","raw_type":"article"},{"id":"pmh:oai:europepmc.org:11193522","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/12385831","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/e27080802","is_oa":true,"landing_page_url":"https://doi.org/10.3390/e27080802","pdf_url":"https://www.mdpi.com/1099-4300/27/8/802/pdf?version=1753692231","source":{"id":"https://openalex.org/S195231649","display_name":"Entropy","issn_l":"1099-4300","issn":["1099-4300"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Entropy","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5874521772","display_name":null,"funder_award_id":"12165010","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4412695451.pdf","grobid_xml":"https://content.openalex.org/works/W4412695451.grobid-xml"},"referenced_works_count":61,"referenced_works":["https://openalex.org/W40754891","https://openalex.org/W1594467986","https://openalex.org/W1979344292","https://openalex.org/W1983874169","https://openalex.org/W1984790459","https://openalex.org/W1990495902","https://openalex.org/W1992411024","https://openalex.org/W1997310583","https://openalex.org/W1998904894","https://openalex.org/W2009354582","https://openalex.org/W2016533177","https://openalex.org/W2021240778","https://openalex.org/W2027383378","https://openalex.org/W2030854267","https://openalex.org/W2042492157","https://openalex.org/W2057456000","https://openalex.org/W2062517214","https://openalex.org/W2069364984","https://openalex.org/W2075445812","https://openalex.org/W2081448115","https://openalex.org/W2097711273","https://openalex.org/W2100509843","https://openalex.org/W2104022019","https://openalex.org/W2108616404","https://openalex.org/W2122992893","https://openalex.org/W2134398909","https://openalex.org/W2171813100","https://openalex.org/W2264152830","https://openalex.org/W2266947307","https://openalex.org/W2304845716","https://openalex.org/W2313278265","https://openalex.org/W2786281257","https://openalex.org/W2793126181","https://openalex.org/W2798870851","https://openalex.org/W2889173137","https://openalex.org/W2953980802","https://openalex.org/W2991158102","https://openalex.org/W2996384314","https://openalex.org/W2996920603","https://openalex.org/W3009755356","https://openalex.org/W3088324152","https://openalex.org/W3092039509","https://openalex.org/W3094337027","https://openalex.org/W3097923182","https://openalex.org/W3098679013","https://openalex.org/W3101597237","https://openalex.org/W3102594775","https://openalex.org/W3137142201","https://openalex.org/W3164924248","https://openalex.org/W3194421540","https://openalex.org/W4214702494","https://openalex.org/W4226196973","https://openalex.org/W4226350281","https://openalex.org/W4240788980","https://openalex.org/W4372279044","https://openalex.org/W4385635940","https://openalex.org/W4386724127","https://openalex.org/W4390658428","https://openalex.org/W4399933822","https://openalex.org/W6648329397","https://openalex.org/W6685515957"],"related_works":["https://openalex.org/W2009962825","https://openalex.org/W1972942382","https://openalex.org/W1722744795","https://openalex.org/W124275629","https://openalex.org/W4250397825","https://openalex.org/W964575223","https://openalex.org/W4296948412","https://openalex.org/W2952991236","https://openalex.org/W2358718285","https://openalex.org/W931243215"],"abstract_inverted_index":{"The":[0],"ergodicity":[1],"and":[2,25,74,113],"ageing":[3,89],"phenomena":[4],"in":[5],"a":[6,12,37,45,51,115],"vibrational":[7,110],"motor":[8,111],"system":[9,80],"driven":[10],"by":[11],"periodic":[13],"external":[14,82],"force":[15],"are":[16,60,91],"investigated.":[17],"Within":[18],"the":[19,23,63,75,79,105],"tailored":[20],"parameter":[21],"regime,":[22],"amplitude":[24,35],"frequency":[26,48],"demonstrate":[27],"contrasting":[28],"effects":[29,90],"on":[30],"ergodicity.":[31],"An":[32],"increase":[33],"of":[34,66,78,109],"induces":[36],"transition":[38,52],"from":[39,53],"non-ergodic":[40,56],"to":[41,50,55,62,69,81],"ergodic":[42,54],"behavior,":[43],"whereas":[44],"higher":[46],"driving":[47],"leads":[49],"dynamics.":[57],"These":[58,99],"transitions":[59],"attributed":[61],"enhanced":[64],"ability":[65],"larger":[67],"amplitudes":[68,95],"overcome":[70],"potential":[71],"energy":[72],"barriers":[73],"improved":[76],"responsiveness":[77],"variations":[83],"at":[84,93],"lower":[85],"frequencies.":[86,98],"Moreover,":[87],"pronounced":[88],"observed":[92],"low":[94],"or":[96],"high":[97],"findings":[100],"offer":[101],"new":[102],"insights":[103],"into":[104],"intrinsic":[106],"dynamical":[107],"mechanisms":[108],"systems":[112],"provide":[114],"theoretical":[116],"foundation":[117],"for":[118],"predicting":[119],"their":[120],"long-term":[121],"operational":[122],"performance.":[123]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}