{"paper":{"title":"Scale-free center-of-mass displacement correlations in dense polymer solutions and melts without topological constraints and momentum conservation: A bond-fluctuation model study","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Albert Johner, Anna Cavallo, Hendrik Meyer, Jean Farago, Joachim P. Wittmer, J\\\"org Baschnagel, Patrycia Poli\\'nska","submitted_at":"2011-02-24T11:23:10Z","abstract_excerpt":"By Monte Carlo simulations of a variant of the bond-fluctuation model without topological constraints we examine the center-of-mass (COM) dynamics of polymer melts in $d=3$ dimensions. Our analysis focuses on the COM displacement correlation function $\\CN(t) \\approx \\partial_t^2 \\MSDcmN(t)/2$, measuring the curvature of the COM mean-square displacement $\\MSDcmN(t)$. We demonstrate that $\\CN(t) \\approx -(\\RN/\\TN)^2 (\\rhostar/\\rho) \\ f(x=t/\\TN)$ with $N$ being the chain length ($16 \\le N \\le 8192$), $\\RN\\sim N^{1/2}$ the typical chain size, $\\TN\\sim N^2$ the longest chain relaxation time, $\\rho$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.4962","kind":"arxiv","version":2},"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"}