{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/a-two-phase-model-of-galaxy-formation-ii-the","title":"A two-phase model of galaxy formation: II. The size-mass relation of dynamically hot galaxies","arxiv_id":"2311.11713","date":"2023-11-20","proceeding":null,"authors":["Yangyao Chen","Houjun Mo","Huiyuan Wang"],"abstract":"In Paper-I we developed a two-phase model to connect dynamically hot galaxies (such as ellipticals and bulges) with the formation of self-gravitating gas clouds (SGCs) associated with the fast assembly of dark matter halos. Here we explore the implications of the model for the size-stellar mass relation of dynamically hot galaxies. Star-forming sub-clouds resulting from the fragmentation of the turbulent SGC inherit its spatial structure and dynamical hotness, producing a `homologous' relation, $r_{\\rm f}\\approx\\, 100 r_{\\rm bulge}$, between the size of a dynamically hot galaxy ($r_{\\rm bulge}$) and that of its host halo assembled in the fast regime ($r_{\\rm f}$), independent of redshift and halo mass. This relation is preserved by the `dry' expansion driven by dynamical heating when a galaxy becomes gas-poor due to inefficient cooling, and is frozen due to the stop of bulge growth during the slow assembly regime of the halo. The size-stellar mass relation is thus a simple combination of the galaxy-halo homology and the non-linear stellar mass-halo mass relation. Using a set of halo assembly histories we reproduce all properties in the observed size-mass relation of dynamically hot galaxies, including the flattening in the low-mass end and the upturn in the massive end. The prediction matches observational data currently available to $z \\approx 4$, and can be tested in the future at higher $z$. Our results indicate that the sizes of dynamically hot galaxies are produced by the dissipation and collapse of gas in halos to establish SGCs in which stars form.","url_abs":"https://arxiv.org/abs/2311.11713v2","url_pdf":"https://arxiv.org/pdf/2311.11713v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"a-two-phase-model-of-galaxy-formation-ii-the","repo_url":"https://github.com/chenyangyao/two-phase-galaxy-model","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}