{"paper":{"title":"Criteria for gravitational instability and quasi-isolated gravitational collapse in turbulent medium","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.SR"],"primary_cat":"astro-ph.GA","authors_text":"Guang-Xing Li","submitted_at":"2016-10-20T20:00:06Z","abstract_excerpt":"We study the evolution of structures in turbulent, self-gravitating media, and present an analytical criterion $M_{\\rm crit} \\approx \\epsilon_{\\rm cascade}^{2/3} \\eta^{-2/3} G^{-1} l^{5/3}$ (where $M_{\\rm crit}$ is the critical mass, $l$ is the scale, $\\epsilon_{\\rm cascade}\\approx \\eta \\sigma_{\\rm v}^3 /l $ is the turbulence energy dissipation rate of the ambient medium, $G$ is the gravitational constant, $\\sigma_{\\rm v}$ is the velocity dispersion, $l$ is the scale and $\\eta\\approx 0.2$ is an efficiency parameter) for an object to undergo quasi-isolated gravitational collapse. The criterion "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.06577","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"}