{"paper":{"title":"Power law rheology of generalised Maxwell and Kelvin-Voigt models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"physics.bio-ph","authors_text":"Pedro Patricio","submitted_at":"2015-06-05T14:22:29Z","abstract_excerpt":"We analyse the rheological behaviour of the generalised Maxwell and Kelvin-Voigt models with a power law spectrum of relaxation or retardation times, ${\\cal H}\\sim 1/\\tau^{\\alpha}$ or ${\\cal L}\\sim \\tau^\\alpha$, respectively. When $0<\\alpha<1$, both models have the same weak power law behaviour, which occur in a variety of soft materials, including living cells. Beyond this region, for other values of $\\alpha$, the two models have different and distinctive rheological behaviours, converging continuously to the 1-element Maxwell and Kelvin-Voigt models, respectively, for $\\alpha<-1$ or $\\alpha>"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.01927","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"}