{"paper":{"title":"Corrections to Scaling in the Hydrodynamic Properties of Dilute Polymer Solutions","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.soft","authors_text":"Burkhard Duenweg, Dirk Reith, Kurt Kremer, Martin Steinhauser","submitted_at":"2002-03-22T16:40:06Z","abstract_excerpt":"We discuss the hydrodynamic radius $R_H$ of polymer chains in good solvent, and show that the leading order correction to the asymptotic law $R_H \\propto N^\\nu$ ($N$ degree of polymerization, $\\nu \\approx 0.59$) is an ``analytic'' term of order $N^{-(1 - \\nu)}$, which is directly related to the discretization of the chain into a finite number of beads. This result is further corroborated by exact calculations for Gaussian chains, and extensive numerical simulations of different models of good--solvent chains, where we find a value of $1.591 \\pm 0.007$ for the asymptotic universal ratio $R_G / "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0203473","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"}