{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,16]],"date-time":"2026-01-16T19:32:22Z","timestamp":1768591942801,"version":"3.49.0"},"reference-count":22,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2021,10,9]],"date-time":"2021-10-09T00:00:00Z","timestamp":1633737600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"INFN Sezione di Roma &quot;Tor Vergata&quot;","award":["FEEL"],"award-info":[{"award-number":["FEEL"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Langevin simulations are conducted to investigate the Josephson escape statistics over a large set of parameter values for damping and temperature. The results are compared to both Kramers and B\u00fcttiker\u2013Harris\u2013Landauer (BHL) models, and good agreement is found with the Kramers model for high to moderate damping, while the BHL model provides further good agreement down to lower damping values. However, for extremely low damping, even the BHL model fails to reproduce the progression of the escape statistics. In order to explain this discrepancy, we develop a new model which shows that the bias sweep effectively cools the system below the thermodynamic value as the potential well broadens due to the increasing bias. A simple expression for the temperature is derived, and the model is validated against direct Langevin simulations for extremely low damping values.<\/jats:p>","DOI":"10.3390\/e23101315","type":"journal-article","created":{"date-parts":[[2021,10,10]],"date-time":"2021-10-10T21:19:32Z","timestamp":1633900772000},"page":"1315","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Dissipation-Dependent Thermal Escape from a Potential Well"],"prefix":"10.3390","volume":"23","author":[{"given":"Chungho","family":"Cheng","sequence":"first","affiliation":[{"name":"Department of Mechanical and Aerospace Engineering, University of California, Davis, CA 95616, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Matteo","family":"Cirillo","sequence":"additional","affiliation":[{"name":"Dipartimento di Fisica and MINAS Lab, Universit\u00e0 di Roma \u201cTor Vergata\u201d, 00133 Roma, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Niels","family":"Gr\u00f8nbech-Jensen","sequence":"additional","affiliation":[{"name":"Department of Mechanical and Aerospace Engineering, University of California, Davis, CA 95616, USA"},{"name":"Department of Mathematics, University of California, Davis, CA 95616, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,10,9]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"284","DOI":"10.1016\/S0031-8914(40)90098-2","article-title":"Brownian Motion in a Field of Force and the Diffusion Model of Chemical Reactions. 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