{"paper":{"title":"Dark Matter Equilibria in Galaxies and Galaxy Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"2), 3) ((1)Univ. \"Tor Vergata\", A. Cavaliere (1, A. Lapi (1, Italy), Italy; (2) SISSA/ISAS, Italy; (3) Accademia Lincei, Roma, Trieste","submitted_at":"2008-10-07T17:13:17Z","abstract_excerpt":"[abridged] In the dark matter (DM) halos embedding galaxies and galaxy systems the `entropy' K = \\sigma^2 / \\rho^{2/3} (a quantity that combines the radial velocity dispersion \\sigma with the density \\rho) is found from intensive N-body simulations to follow a powerlaw run K ~ r^{\\alpha} throughout the halos' bulk, with \\alpha around 1.25. Taking up from phenomenology just that \\alpha ~ const applies, we cut through the rich analytic contents of the Jeans equation describing the self-gravitating equilibria of the DM; we specifically focus on computing and discussing a set of novel physical sol"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.1245","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}