{"paper":{"title":"Dynamics of a Polymer in the Presence of Permeable Membranes","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat","authors_text":"Hyoungsoo Yoon, J.M. Deutsch","submitted_at":"1995-01-13T04:01:14Z","abstract_excerpt":"We study the diffusion of a linear polymer in the presence of permeable membranes without excluded volume interactions, using scaling theory and Monte Carlo simulations. We find that the average time it takes for a chain with polymerization index~$N$ to cross a single isolated membrane varies with~$N$ as~% $N^{5/2}$, giving its permeability proportional to~$N^2$. When the membranes are stacked with uniform spacing~$d$ in the unit of the monomer size, the dynamics of a polymer is shown to have three different regimes. In the limit of small~\\mbox{$d \\ll N^{1/2}$}, the chain diffuses through rept"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9501049","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"}