{"paper":{"title":"Energy decay in three-dimensional freely cooling granular gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Dibyendu Das, R. Rajesh, Sudhir N. Pathak, Zahera Jabeen","submitted_at":"2013-10-02T16:06:53Z","abstract_excerpt":"The kinetic energy of a freely cooling granular gas decreases as a power law $t^{-\\theta}$ at large times $t$. Two theoretical conjectures exist for the exponent $\\theta$. One based on ballistic aggregation of compact spherical aggregates predicts $\\theta= 2d/(d+2)$ in $d$ dimensions. The other based on Burgers equation describing anisotropic, extended clusters predicts $\\theta=d/2$ when $2\\le d \\le 4$. We do extensive simulations in three dimensions to find that while $\\theta$ is as predicted by ballistic aggregation, the cluster statistics and velocity distribution differ from it. Thus, the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.0753","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"}