{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T16:59:45Z","timestamp":1790873985999,"version":"4.1.0"},"reference-count":40,"publisher":"American Physical Society (APS)","issue":"2","license":[{"start":{"date-parts":[[2026,2,13]],"date-time":"2026-02-13T00:00:00Z","timestamp":1770940800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004801","name":"Shota Rustaveli National Science Foundation","doi-asserted-by":"publisher","award":["FR-22- 8273"],"award-info":[{"award-number":["FR-22- 8273"]}],"id":[{"id":"10.13039\/501100004801","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000015","name":"U.S. Department of Energy","doi-asserted-by":"publisher","award":["DE- FG02-04ER54742"],"award-info":[{"award-number":["DE- FG02-04ER54742"]}],"id":[{"id":"10.13039\/100000015","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000015","name":"U.S. Department of Energy","doi-asserted-by":"publisher","award":["DE-AC02-09CH11466"],"award-info":[{"award-number":["DE-AC02-09CH11466"]}],"id":[{"id":"10.13039\/100000015","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. E"],"accepted":{"date-parts":[[2026,1,28]]},"abstract":"<jats:p>This paper explores the catastrophic energy transformations, in particular the ones leading to the generation of a flow in a weakly rotating self-gravitating fluid\/gas found, for instance, in the vicinity of a massive compact object. Because of the similarity in the governing equations, the system dynamics is worked out exactly in parallel to the methods developed for investigating catastrophic relaxation in stellar plasmas [S. Ohsaki  , ; ; E. Saralidze  , ]. In the latter, a more \u201ccomplex\u201d equilibrium state, on slow changes in the environment, can lose its equilibrium (catastrophe), and transform to a less complex state with a very different energy mix from the original. It is shown that a similar transformation in the weakly rotating self-gravitating fluid\/gas will convert much of its gravitation energy into kinetic energy in the flow. Since flows are a perennial ingredient of high-energy astrophysical systems, the energy transformation processes revealed in the present study, can advance our understanding of a variety of them. Some particularly relevant examples are macroscale flows \/ structures in galaxies, accretion discs, and the dynamics and stability of a rotating star \/ its atmosphere.<\/jats:p>","DOI":"10.1103\/whwv-trcw","type":"journal-article","created":{"date-parts":[[2026,1,28]],"date-time":"2026-01-28T19:22:41Z","timestamp":1769628161000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Flow generation via catastrophic loss of equilibrium in weakly rotating self-gravitating fluids: A minimal idealized model"],"prefix":"10.1103","volume":"113","author":[{"ORCID":"https:\/\/orcid.org\/0009-0001-2124-7622","authenticated-orcid":true,"given":"L.","family":"Gudushauri","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/05fd1hd85","id-type":"ROR","asserted-by":"publisher"}],"name":"Tbilisi State University"},{"id":[{"id":"https:\/\/ror.org\/02gkgrd84","id-type":"ROR","asserted-by":"publisher"}],"name":"E. Kharadze Georgian National Astrophysical Observatory"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0007-0087-6706","authenticated-orcid":true,"given":"N. L.","family":"Shatashvili","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/05fd1hd85","id-type":"ROR","asserted-by":"publisher"}],"name":"Tbilisi State University"},{"id":[{"id":"https:\/\/ror.org\/05fd1hd85","id-type":"ROR","asserted-by":"publisher"}],"name":"TSU"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0002-2942-116X","authenticated-orcid":true,"given":"G.","family":"Shekiladze","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/05fd1hd85","id-type":"ROR","asserted-by":"publisher"}],"name":"Tbilisi State University"},{"id":[{"id":"https:\/\/ror.org\/02y3ad647","id-type":"ROR","asserted-by":"publisher"}],"name":"University of Florida"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"S. 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Our system consists of only one neutral fluid, hence, we have only one velocity v of this fluid locally, at the same time, we have a so called gravito-magnetic field (Bg\u22600 due to self-gravity taken into account, \u03ba\u22600) and, as shown above, the flow vorticity is generalized [see   (7)]; also we have only one Beltrami paramater b. Then, the derived equation   (10) is of higher order (DB-like); without this effect (leading to \u03ba\u21920) we would get the single Beltrami (SB) equation for the flow (see the details of derivation in   [13]). We can, however, mathematically analyze our self-gravitating flow as a DB system\u2014flow generalized by self-gravity\u2014and follow the methodology developed for the exploxive\/erruptive events.","type":"other"},{"key":"whwv-trcwCc30R1","doi-asserted-by":"publisher","DOI":"10.1063\/1.873850","type":"journal-article"},{"key":"whwv-trcwCc31R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.79.3423","type":"journal-article"},{"key":"whwv-trcwCc32R1","doi-asserted-by":"crossref","DOI":"10.1007\/b97593","type":"book","volume-title":"Topological Methods in Hydrodynamics","author":"V.\u00a0I. Arnold","year":"1998"},{"key":"whwv-trcwCc33R1","first-page":"337","type":"journal-article","volume":"24","author":"N.\u00a0I. Shakura","year":"1973","journal-title":"Astron. 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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":"025102"}}