{"paper":{"title":"Shear-gravity transition determines the steep velocity dispersion-size relation in molecular clouds: confronting analytical formula with observations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.GA","authors_text":"Guang-Xing Li, Yi-Heng Xie","submitted_at":"2025-01-06T14:10:44Z","abstract_excerpt":"The velocity dispersion-size relation ($\\sigma_{\\rm v}\\sim R^{\\beta}$) is a crucial indicator of the dynamic properties of interstellar gas, where the slope is considered as $\\beta \\sim 0.5$. Recent observations reveal a steep velocity dispersion-size relation with the slope $\\beta> 0.6$, which cannot be explained by a single mechanism with only gravity ($\\beta\\sim0.5$) or shear ($\\beta \\sim 1$). We present a two-component model $\\sigma_{\\rm v_{total}} = \\lambda_1 \\sigma_{\\rm v_{g}} + \\lambda_2 \\sigma_{\\rm v_{shear}} = A[(GM/R)^{\\frac{1}{2}} + f(R/t_{\\rm shear})]$ to explain the steep velocity"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.03027","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2501.03027/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}