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We employ the Landau\u2013Lifshiftz radiation reaction model for a plasma in a strong magnetic field, and we obtain the necessary condition for the development of population inversion; we show that isotropic Maxwellian and Maxwell\u2013J\u00fcttner plasmas, with thermal temperature T&amp;gt;mec2\/3, will develop a ring-like momentum distribution. The timescales and features for forming ring-shaped momentum distributions, the effect of collisions, and non-uniform magnetic fields are discussed and compared with typical astrophysical and laboratory plasmas parameters. Our results show the pervasiveness of ring-like momentum distribution functions in synchrotron dominated plasma conditions.<\/jats:p>","DOI":"10.1063\/5.0206813","type":"journal-article","created":{"date-parts":[[2024,5,15]],"date-time":"2024-05-15T12:21:42Z","timestamp":1715775702000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":6,"title":["Ring momentum distributions as a general feature of Vlasov dynamics in the synchrotron dominated regime"],"prefix":"10.1063","volume":"31","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1841-4397","authenticated-orcid":false,"given":"P. J.","family":"Bilbao","sequence":"first","affiliation":[{"name":"GoLP\/Instituto de Plasmas e Fus\u00e3o Nuclear, Instituto Superior T\u00e9cnico, Universidade de Lisboa 1 , 1049-001 Lisbon, Portugal"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0206-7271","authenticated-orcid":false,"given":"R. 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