{"paper":{"title":"From force distribution to average coordination number in frictional granular matter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.dis-nn"],"primary_cat":"cond-mat.soft","authors_text":"Chaoming Song, Christopher Briscoe, Hernan A. Makse, Kun Wang, Ping Wang","submitted_at":"2008-08-20T01:36:10Z","abstract_excerpt":"We study the joint probability distribution of normal and tangential frictional forces in jammed granular media, $P_{\\mu}(f_t, f_n)$, for various friction coefficient $\\mu$, especially when $\\mu = \\infty$. A universal scaling law is found to collapse the data for $\\mu=0$ to $\\infty$ demonstrating a link between force distribution $P_{\\mu}(f_t, f_n)$ and average coordination number, $z^{\\mu}_c$. The results determine $z_c^\\mu$ for a finite friction coefficient, extending the constraints counting argument of isostatic granular packing to finite frictional packings."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.2682","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"}