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When stimulated by parallel plasma streams, the instability conditions extend to low beta states, i.e., \u03b2\u2225\u2009&amp;lt;\u20091, and recent studies have proven the existence of a new regime, where the anisotropy threshold decreases steeply with lowering \u03b2\u2225 \u2192 0 if the streaming velocity is sufficiently high. However, the occurrence of this instability is questionable especially in the low-beta plasmas, where the electrostatic two-stream instabilities are expected to develop much faster in the process of relaxation of the counterstreams. It is therefore proposed here to identify the instability conditions for the O-mode below those required for the onset of the electrostatic instability. A hierarchy of these two instabilities is established for both the low \u03b2\u2225\u2009&amp;lt;\u20091 and large \u03b2\u2225\u2009&amp;gt;\u20091 plasmas. The conditions where the O-mode instability can operate efficiently are markedly constrained by the electrostatic instabilities especially in the low-beta plasmas.<\/jats:p>","DOI":"10.1063\/1.4905707","type":"journal-article","created":{"date-parts":[[2015,1,10]],"date-time":"2015-01-10T00:09:55Z","timestamp":1420848595000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":4,"title":["Constraints for the aperiodic O-mode streaming instability"],"prefix":"10.1063","volume":"22","author":[{"given":"M.","family":"Lazar","sequence":"first","affiliation":[{"name":"Centre for Mathematical Plasma Astrophysics (CmPA) 1 , Celestijnenlaan 200B, 3001 Leuven, Belgium"},{"name":"Ruhr-Universit\u00e4t Bochum 2 Institut f\u00fcr Theoretische Physik, Lehrstuhl IV: Weltraum- und Astrophysik, , D-44780 Bochum, Germany"}]},{"given":"R.","family":"Schlickeiser","sequence":"additional","affiliation":[{"name":"Ruhr-Universit\u00e4t Bochum 2 Institut f\u00fcr Theoretische Physik, Lehrstuhl IV: Weltraum- und Astrophysik, , D-44780 Bochum, Germany"},{"name":"Ruhr-Universit\u00e4t Bochum 3 Research Department Plasmas with Complex Interactions, , D-44780 Bochum, Germany"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1743-0651","authenticated-orcid":false,"given":"S.","family":"Poedts","sequence":"additional","affiliation":[{"name":"Centre for Mathematical Plasma Astrophysics (CmPA) 1 , Celestijnenlaan 200B, 3001 Leuven, Belgium"}]},{"given":"A.","family":"Stockem","sequence":"additional","affiliation":[{"name":"Ruhr-Universit\u00e4t Bochum 2 Institut f\u00fcr Theoretische Physik, Lehrstuhl IV: Weltraum- und Astrophysik, , D-44780 Bochum, Germany"}]},{"given":"S.","family":"Vafin","sequence":"additional","affiliation":[{"name":"Ruhr-Universit\u00e4t Bochum 2 Institut f\u00fcr Theoretische Physik, Lehrstuhl IV: Weltraum- und Astrophysik, , D-44780 Bochum, Germany"}]}],"member":"317","published-online":{"date-parts":[[2015,1,9]]},"reference":[{"key":"2023070204223028500_c1","doi-asserted-by":"publisher","first-page":"584","DOI":"10.1086\/507461","volume":"651","year":"2006","journal-title":"Astrophys. 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