{"id":167877,"date":"2025-08-23T01:01:08","date_gmt":"2025-08-23T01:01:08","guid":{"rendered":"https:\/\/www.europesays.com\/us\/167877\/"},"modified":"2025-08-23T01:01:08","modified_gmt":"2025-08-23T01:01:08","slug":"self-consistent-model-incorporates-gas-self-gravity-effects-to-address-accretion-across-cosmic-scales","status":"publish","type":"post","link":"https:\/\/www.europesays.com\/us\/167877\/","title":{"rendered":"Self-consistent model incorporates gas self-gravity effects to address accretion across cosmic scales"},"content":{"rendered":"<p>            <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.europesays.com\/us\/wp-content\/uploads\/2025\/08\/scientists-introduce-m.jpg\" alt=\"Scientists introduce model incorporating gas self-gravity, resolving limitations in the Bondi accretion framework\" title=\"Global solutions of the TPBVP for ~\u03b2=0.65 and \u03b3=4\/3. Credit: The Astrophysical Journal (2025). DOI: 10.3847\/1538-4357\/adec71\" width=\"800\" height=\"395\"\/><\/p>\n<p>                Global solutions of the TPBVP for ~\u03b2=0.65 and \u03b3=4\/3. Credit: The Astrophysical Journal (2025). DOI: 10.3847\/1538-4357\/adec71<\/p>\n<p>A research team led by Prof. Jiao Chengliang at the Yunnan Observatories of the Chinese Academy of Sciences, along with collaborators, has introduced a self-consistent model that addresses long-unresolved theoretical gaps in the study of self-gravitating spherical accretion. The <a href=\"https:\/\/iopscience.iop.org\/article\/10.3847\/1538-4357\/adec71\" target=\"_blank\" rel=\"noopener\">study<\/a> was recently published in The Astrophysical Journal.<\/p>\n<p>Accretion, the fundamental astrophysical process by which matter is drawn onto a central celestial object (such as a black hole or star), underpins our understanding of phenomena ranging from <a href=\"https:\/\/phys.org\/tags\/star+formation\/\" rel=\"tag noopener\" class=\"textTag\" target=\"_blank\">star formation<\/a> to black hole growth. For decades, the classical Bondi model\u2014developed in the 1950s and still widely used today\u2014has served as the backbone of <a href=\"https:\/\/phys.org\/tags\/accretion\/\" rel=\"tag noopener\" class=\"textTag\" target=\"_blank\">accretion<\/a> research.<\/p>\n<p>However, this foundational framework overlooks a critical factor: the self-gravity of the gas being accreted. This omission, the researchers note, can drastically alter flow structures and accretion rates in high-density astrophysical environments, limiting the model&#8217;s accuracy in key scenarios.<\/p>\n<p>To address this challenge, the team developed a comprehensive mathematical framework: a three-point boundary value problem tailored to spherically symmetric accretion that fully incorporates the self-gravity of the accreted gas.<\/p>\n<p>The researchers used a relaxation method, a numerical technique ideal for refining solutions to nonlinear systems, and derived simplified analytical formulas, enabling astronomers to quickly estimate the impact of self-gravity without intensive computational work.<\/p>\n<p>At the core of the new model is a dimensionless parameter, denoted as \u03b2, which quantifies self-gravity effects based on four measurable properties of the surrounding medium: density, sound speed, outer radius, and adiabatic index (a measure of how a gas responds to temperature and pressure changes).<\/p>\n<p>These findings reveal key insights into how self-gravity shapes accretion:<\/p>\n<ul>\n<li>As \u03b2 increases (indicating stronger self-gravity), the &#8220;sonic point&#8221; of the accretion flow\u2014where the gas transitions from subsonic to supersonic speed\u2014shifts inward toward the central object.<\/li>\n<li>For adiabatic indices (\u03b3) between 1 and 5\/3 (a range encompassing most astrophysical gases), higher \u03b2 values also lead to a significant increase in accretion rate.<\/li>\n<li>A critical exception emerges at \u03b3 = 5\/3: Here, the gas&#8217;s high &#8220;stiffness&#8221; (resistance to compression) negates self-gravity&#8217;s effect, and no further increase in accretion rate is observed.<\/li>\n<\/ul>\n<p>The study also identifies an <a href=\"https:\/\/phys.org\/tags\/upper+limit\/\" rel=\"tag noopener\" class=\"textTag\" target=\"_blank\">upper limit<\/a> for \u03b2: Exceeding this threshold makes steady accretion impossible\u2014a result that aligns closely with classical gravitational instability theory, including the well-known Bonnor-Ebert threshold (which defines when a gas cloud collapses under its own weight).<\/p>\n<p>To validate the model&#8217;s real-world utility, the researchers applied it to two iconic astrophysical scenarios:<\/p>\n<ul>\n<li>Hyper-Eddington accretion onto supermassive black hole seeds in the <a href=\"https:\/\/phys.org\/tags\/early+universe\/\" rel=\"tag noopener\" class=\"textTag\" target=\"_blank\">early universe<\/a>: This extreme process, where accretion occurs far faster than the rate predicted by the Eddington limit (a traditional upper bound), depends heavily on self-gravity\u2014making the new model critical for understanding how the first supermassive <a href=\"https:\/\/phys.org\/tags\/black+holes\/\" rel=\"tag noopener\" class=\"textTag\" target=\"_blank\">black holes<\/a> formed.<\/li>\n<li>Accretion onto stellar-mass objects in <a href=\"https:\/\/phys.org\/tags\/active+galactic+nucleus\/\" rel=\"tag noopener\" class=\"textTag\" target=\"_blank\">active galactic nucleus<\/a> (AGN) disks: AGNs\u2014luminous cores of galaxies powered by supermassive black holes\u2014host disks of gas and dust where stars and compact objects (e.g., neutron stars) form. The study shows self-gravity becomes non-negligible in these disks under certain conditions, and \u03b2 provides a reliable tool to assess its influence.<\/li>\n<\/ul>\n<p>This study offers a novel framework to study accretion across cosmic scales\u2014from stellar formation to the evolution of the earliest black holes.<\/p>\n<p><strong>More information:<\/strong><br \/>\n\t\t\t\t\t\t\t\t\t\t\t\tCheng-Liang \u627f\u4eae Jiao \u7126 et al, Spherically Symmetric Accretion with Self-gravity: Analytical Formulae and Numerical Validation, The Astrophysical Journal (2025). <a data-doi=\"1\" href=\"https:\/\/dx.doi.org\/10.3847\/1538-4357\/adec71\" target=\"_blank\" rel=\"noopener\">DOI: 10.3847\/1538-4357\/adec71<\/a><\/p>\n<p>\n\t\t\t\t\t\t\t\t\t\t\t\t\tProvided by<br \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/phys.org\/partners\/chinese-academy-of-sciences\/\" target=\"_blank\" rel=\"noopener\">Chinese Academy of Sciences<\/a><br \/>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"icon_open\" href=\"https:\/\/english.cas.cn\/\" target=\"_blank\" rel=\"nofollow noopener\"><\/p>\n<p>\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/p>\n<p>\n\t\t\t\t\t\t\t\t\t\t\t\t<strong>Citation<\/strong>:<br \/>\n\t\t\t\t\t\t\t\t\t\t\t\tSelf-consistent model incorporates gas self-gravity effects to address accretion across cosmic scales (2025, August 22)<br \/>\n\t\t\t\t\t\t\t\t\t\t\t\tretrieved 22 August 2025<br \/>\n\t\t\t\t\t\t\t\t\t\t\t\tfrom https:\/\/phys.org\/news\/2025-08-incorporates-gas-gravity-effects-accretion.html\n\t\t\t\t\t\t\t\t\t\t\t <\/p>\n<p>\n\t\t\t\t\t\t\t\t\t\t\t This document is subject to copyright. Apart from any fair dealing for the purpose of private study or research, no<br \/>\n\t\t\t\t\t\t\t\t\t\t\t part may be reproduced without the written permission. The content is provided for information purposes only.\n\t\t\t\t\t\t\t\t\t\t\t <\/p>\n","protected":false},"excerpt":{"rendered":"Global solutions of the TPBVP for ~\u03b2=0.65 and \u03b3=4\/3. Credit: The Astrophysical Journal (2025). DOI: 10.3847\/1538-4357\/adec71 A research&hellip;\n","protected":false},"author":3,"featured_media":167878,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[25],"tags":[493,494,492,489,159,490,158,491,67,132,68],"class_list":{"0":"post-167877","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-physics","8":"tag-materials","9":"tag-nanotech","10":"tag-physics","11":"tag-physics-news","12":"tag-science","13":"tag-science-news","14":"tag-technology","15":"tag-technology-news","16":"tag-united-states","17":"tag-unitedstates","18":"tag-us"},"share_on_mastodon":{"url":"https:\/\/pubeurope.com\/@us\/115075382414829928","error":""},"_links":{"self":[{"href":"https:\/\/www.europesays.com\/us\/wp-json\/wp\/v2\/posts\/167877","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.europesays.com\/us\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.europesays.com\/us\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.europesays.com\/us\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.europesays.com\/us\/wp-json\/wp\/v2\/comments?post=167877"}],"version-history":[{"count":0,"href":"https:\/\/www.europesays.com\/us\/wp-json\/wp\/v2\/posts\/167877\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.europesays.com\/us\/wp-json\/wp\/v2\/media\/167878"}],"wp:attachment":[{"href":"https:\/\/www.europesays.com\/us\/wp-json\/wp\/v2\/media?parent=167877"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.europesays.com\/us\/wp-json\/wp\/v2\/categories?post=167877"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.europesays.com\/us\/wp-json\/wp\/v2\/tags?post=167877"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}