{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T19:01:54Z","timestamp":1790881314046,"version":"4.1.0"},"reference-count":44,"publisher":"American Physical Society (APS)","issue":"2","license":[{"start":{"date-parts":[[2026,8,3]],"date-time":"2026-08-03T00:00:00Z","timestamp":1785715200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100002850","name":"Fondo Nacional de Desarrollo Cient\u00edfico y Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["1241694"],"award-info":[{"award-number":["1241694"]}],"id":[{"id":"10.13039\/501100002850","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. E"],"accepted":{"date-parts":[[2026,7,13]]},"abstract":"<jats:p>We study a Brownian particle in a harmonic trap whose stiffness switches between two values with arbitrary waiting-time statistics, leading to semi-Markovian dynamics. To restore Markovianity, we formulate the problem in an enlarged age-structured state space. Using this framework, we obtain steady-state integral equations\u00a0for the stationary distributions and exact expressions for stationary moments, injected power, and potential energy. In the second part of the paper, we focus on the stochastic-resetting limit, corresponding to a particle alternately released and trapped. By representing the stationary spatial distribution as a superposition of Gaussian states for different effective stiffness (or variance), the problem can be reformulated in variance space, leading to a simplified description amenable to direct analytical treatment.<\/jats:p>","DOI":"10.1103\/7pxv-tg3b","type":"journal-article","created":{"date-parts":[[2026,7,13]],"date-time":"2026-07-13T13:15:11Z","timestamp":1783948511000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Semi-Markovian switching in a fluctuating harmonic trap: An age-structured formulation"],"prefix":"10.1103","volume":"114","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9153-802X","authenticated-orcid":true,"given":"Derek","family":"Frydel","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/05510vn56","id-type":"ROR","asserted-by":"publisher"}],"name":"Universidad T\u00e9cnica Federico Santa Mar\u00eda"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"16","published-online":{"date-parts":[[2026,8,3]]},"reference":[{"key":"7pxv-tg3bCc1R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.69.2318","type":"journal-article"},{"key":"7pxv-tg3bCc2R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.72.4141","type":"journal-article"},{"key":"7pxv-tg3bCc3R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.87.022138","type":"journal-article"},{"key":"7pxv-tg3bCc4R1","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8121\/ac12a0","type":"journal-article"},{"key":"7pxv-tg3bCc5R1","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8121\/ac726b","type":"journal-article"},{"key":"7pxv-tg3bCc6R1","doi-asserted-by":"publisher","DOI":"10.1039\/D4SM01054J","type":"journal-article"},{"key":"7pxv-tg3bCc7R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.110.024613","type":"journal-article"},{"key":"7pxv-tg3bCc8R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.109.014602","type":"journal-article"},{"key":"7pxv-tg3bCc9R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.132.090601","type":"journal-article"},{"key":"7pxv-tg3bCc10R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.109.L032106","type":"journal-article"},{"key":"7pxv-tg3bCc11R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.111.024101","type":"journal-article"},{"key":"7pxv-tg3bCc12R1","doi-asserted-by":"publisher","DOI":"10.1088\/1742-5468\/adbefd","type":"journal-article"},{"key":"7pxv-tg3bCc13R1","doi-asserted-by":"publisher","DOI":"10.1088\/1367-2630\/adecbb","type":"journal-article"},{"key":"7pxv-tg3bCc14R1","doi-asserted-by":"publisher","DOI":"10.1088\/1742-5468\/ae09a5","type":"journal-article"},{"key":"7pxv-tg3bCc15R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.106.160601","type":"journal-article"},{"key":"7pxv-tg3bCc16R1","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/46\/18\/185001","type":"journal-article"},{"key":"7pxv-tg3bCc17R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.87.022118","type":"journal-article"},{"key":"7pxv-tg3bCc18R1","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/47\/28\/285001","type":"journal-article"},{"key":"7pxv-tg3bCc19R1","doi-asserted-by":"publisher","DOI":"10.1063\/5.0297002","type":"journal-article"},{"key":"7pxv-tg3bCc20R1","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8121\/ad4c2c","type":"journal-article"},{"key":"7pxv-tg3bCc21R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.6.033343","type":"journal-article"},{"key":"7pxv-tg3bCc22R1","doi-asserted-by":"publisher","DOI":"10.1063\/5.0253019","type":"journal-article"},{"key":"7pxv-tg3bCc23R1","doi-asserted-by":"publisher","DOI":"10.1038\/nphys3758","type":"journal-article"},{"key":"7pxv-tg3bCc24R1","doi-asserted-by":"publisher","DOI":"10.1021\/acs.jpclett.0c02122","type":"journal-article"},{"key":"7pxv-tg3bCc25R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevResearch.2.032029","type":"journal-article"},{"key":"7pxv-tg3bCc26R1","doi-asserted-by":"publisher","DOI":"10.1103\/jcvp-6yw2","type":"journal-article"},{"key":"7pxv-tg3bCc27R1","volume-title":"Advances in Chemical Physics, Volume 89","author":"P. 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All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright_statement","label":"Copyright statement","group":{"name":"copyright","label":"copyright"}},{"value":"2026","name":"copyright_year","label":"Copyright year","group":{"name":"copyright","label":"copyright"}},{"value":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/","name":"creative_commons_license","label":"Creative Commons license","group":{"name":"licenses","label":"Licenses"}},{"value":"\u00a92026 The authors","name":"copyright_holder","label":"Copyright holder","group":{"name":"copyright","label":"copyright"}}],"article-number":"024105"}}