{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,30]],"date-time":"2026-07-30T14:01:33Z","timestamp":1785420093349,"version":"3.56.0"},"reference-count":65,"publisher":"American Physical Society (APS)","issue":"6","license":[{"start":{"date-parts":[[2025,12,8]],"date-time":"2025-12-08T00:00:00Z","timestamp":1765152000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"HESC of Armenia","award":["21AG-1C038"],"award-info":[{"award-number":["21AG-1C038"]}]},{"name":"HESC of Armenia","award":["22AA-1C028"],"award-info":[{"award-number":["22AA-1C028"]}]}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. E"],"accepted":{"date-parts":[[2025,11,17]]},"abstract":"<jats:p>Rotating equilibrated systems are widespread, but relatively little attention has been devoted to studying them from the first principles of statistical mechanics. We fill this gap by studying a Brownian particle coupled with a thermal bath made of rotating harmonic oscillators. We show that the Langevin equation\u00a0that describes the dynamics of the Brownian particle contains (due to rotation) long-range correlated noise. In contrast to the usual situation of (nonrotating) equilibration, the rotating Gibbs distribution is recovered only for a weak coupling with the bath. In the presence of a uniform magnetic field, the stationary state is not Gibbsian, even under weak coupling. In this context, we clarify the applicability of the Bohr-van Leeuwen theorem to classical systems in rotating equilibrium, as well as the concept of work done by a changing magnetic field. We show that the Brownian particle under a rotationally symmetric potential reaches a stationary state that behaves as an effective equilibrium, characterized by a free energy. As a result, no work can be extracted via cyclic processes that respect the rotation symmetry. However, if the external potential exhibits asymmetry, then work extraction via slow cyclic processes is possible. This is illustrated by a general scenario involving a slow rotation of a non-rotation-symmetric potential. We study sedimentation equilibrium and show that centrifugal instability is prevented by a finite friction.<\/jats:p>","DOI":"10.1103\/s7m5-4wvy","type":"journal-article","created":{"date-parts":[[2025,11,17]],"date-time":"2025-11-17T20:18:28Z","timestamp":1763410708000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["System-bath approach to rotating Brownian motion"],"prefix":"10.1103","volume":"112","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6628-6676","authenticated-orcid":true,"given":"Ashot","family":"Matevosyan","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01bf9rw71","id-type":"ROR","asserted-by":"publisher"}],"name":"Max Planck Institute for the Physics of Complex Systems"},{"id":[{"id":"https:\/\/ror.org\/00ad27c73","id-type":"ROR","asserted-by":"publisher"}],"name":"Alikhanyan National Laboratory (Yerevan Physics Institute)"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2542-3504","authenticated-orcid":true,"given":"Armen E.","family":"Allahverdyan","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/00ad27c73","id-type":"ROR","asserted-by":"publisher"}],"name":"Alikhanyan National Laboratory (Yerevan Physics Institute)"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"16","published-online":{"date-parts":[[2025,12,8]]},"reference":[{"key":"s7m5-4wvyCc1R1","volume-title":"Statistical Physics","author":"I.\u00a0P. 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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":"2025","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":"\u00a92025 The authors","name":"copyright_holder","label":"Copyright holder","group":{"name":"copyright","label":"copyright"}}],"article-number":"064112"}}