{"paper":{"title":"Stochastic Approach to Plasticity and Yield in Amorphous Solids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"H.G.E. Hentschel, Itamar Procaccia, Prabhat K. Jaiswal, Srikanth Sastry","submitted_at":"2015-09-16T12:43:47Z","abstract_excerpt":"We focus on the probability distribution function (pdf) $P(\\Delta \\gamma; \\gamma)$ where $\\Delta \\gamma$ are the {\\em measured} strain intervals between plastic events in an athermal strained amorphous solids, and $\\gamma$ measures the accumulated strain. The tail of this distribution as $\\Delta \\gamma\\to 0$ (in the thermodynamic limit) scales like $\\Delta \\gamma^\\eta$. The exponent $\\eta$ is related via scaling relations to the tail of the pdf of the eigenvalues of the {\\em plastic modes} of the Hessian matrix $P(\\lambda)$ which scales like $\\lambda^\\theta$, $\\eta=(\\theta-1)/2$. The numerical"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.04907","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"}