{"paper":{"title":"A model for approximately stretched-exponential relaxation with continuously varying stretching exponents","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.soft","authors_text":"Joseph D. Paulsen, Sidney R. Nagel","submitted_at":"2016-11-22T15:05:46Z","abstract_excerpt":"Relaxation in glasses is often approximated by a stretched-exponential form: $f(t) = A \\exp [-(t/\\tau)^{\\beta}]$. Here, we show that the relaxation in a model of sheared non-Brownian suspensions developed by Cort\\'e et al. [Nature Phys. 4, 420 (2008)] can be well approximated by a stretched exponential with an exponent $\\beta$ that depends on the strain amplitude: $0.25 < \\beta < 1$. In a one-dimensional version of the model, we show how the relaxation originates from density fluctuations in the initial particle configurations. Our analysis is in good agreement with numerical simulations and r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.07344","kind":"arxiv","version":3},"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"}