{"paper":{"title":"Theory for the rheology of dense non-Brownian suspensions: divergence of viscosities and $\\mu$-$J$ rheology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Hisao Hayakawa, Koshiro Suzuki","submitted_at":"2017-11-24T01:40:14Z","abstract_excerpt":"A systematic microscopic theory for the rheology of dense non-Brownian suspensions characterized by the volume fraction $\\varphi$ is developed. The theory successfully derives the critical behavior in the vicinity of the jamming point (volume fraction $\\varphi_{J}$), for both the pressure $P$ and the shear stress $\\sigma_{xy}$, i.e. $P \\sim \\sigma_{xy} \\sim \\dot\\gamma \\eta_0 \\delta\\varphi^{-2}$, where $\\dot\\gamma$ is the shear rate, $\\eta_0$ is the shear viscosity of the solvent, and $\\delta\\varphi = \\varphi_J - \\varphi > 0$ is the distance from the jamming point. It also successfully describe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.08855","kind":"arxiv","version":4},"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"}