{"paper":{"title":"Fluctuations of a long, semiflexible polymer in a narrow channel","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Gerhard Gompper, Theodore W. Burkhardt, Yingzi Yang","submitted_at":"2010-08-09T21:02:41Z","abstract_excerpt":"We consider an inextensible, semiflexible polymer or worm-like chain, with persistence length $P$ and contour length $L$, fluctuating in a cylindrical channel of diameter $D$. In the regime $D\\ll P\\ll L$, corresponding to a long, tightly confined polymer, the average length of the channel $<R_\\parallel>$ occupied by the polymer and the mean square deviation from the average vary as $<R_\\parallel>=[1-\\alpha_\\circ(D/P)^{2/3}]L$ and $<\\Delta R_\\parallel^{\\thinspace 2}\\thinspace>=\\beta_\\circ(D^2/P)L$, respectively, where $\\alpha_\\circ$ and $\\beta_\\circ$ are dimensionless amplitudes. In earlier wor"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1008.1594","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"}