{"paper":{"title":"Collapsed and Extended Cold Dark Matter Haloes in Softened N-Body Gravity","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"astro-ph","authors_text":"Andrew Melatos, Cathryn M. Trott","submitted_at":"2004-09-10T01:14:14Z","abstract_excerpt":"The statistical mechanics of N cold dark matter (CDM) particles interacting via a softened gravitational potential is reviewed in the microcanonical ensemble and mean-field limit. A phase diagram for the system is computed as a function of the total energy E and gravitational softening length epsilon. For softened systems, two stable phases exist: a collapsed phase, whose radial density profile rho(r) is a central Dirac cusp, and an extended phase, for which rho(r) has a central core and rho(r) ~ r^{-2.2} at large r. It is shown that many N-body simulations of CDM haloes in the literature inad"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0409237","kind":"arxiv","version":1},"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"}