{"paper":{"title":"Transport and tumbling of polymers in viscoelastic shear flow","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.soft"],"primary_cat":"cond-mat.stat-mech","authors_text":"R. K. Singh, Sadhana Singh, Sanjay Kumar","submitted_at":"2020-03-16T12:43:55Z","abstract_excerpt":"Polymers in shear flow are ubiquitous and we study their motion in a viscoelastic fluid under shear. Employing dumbbells as representative, we find that the center of mass motion follows: $\\langle x^2_c(t) \\rangle \\sim \\dot{\\gamma}^2 t^{\\alpha+2}, ~0< \\alpha <1$, generalizing the earlier result: $\\langle x^2_c(t) \\rangle \\sim \\dot{\\gamma}^2t^3 ~(\\alpha = 1)$. Motion of the relative coordinate, on the other hand, is quite intriguing in that $\\langle x^2_r(t) \\rangle \\sim t^\\beta$ with $\\beta = 2(1-\\alpha)$ for small $\\alpha$. This implies nonexistence of the steady state. We remedy this patholo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.07152","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2003.07152/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}