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Bimodal distribution function of a three-dimensional wormlike chain with a fixed orientation of one end

2006/11/30 by F. F. Semeriyanov, S. Stepanow
Materials Science · Physics and Astronomy · #Diatoms and Algae Research #Material Dynamics and Properties #Polymer Surface Interaction Studies #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.75.061801

6 pages, 3 figures

arxiv created 2007/02/05 · openalex publication_date 2007/06/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the distribution function of a three-dimensional wormlike chain with a fixed orientation of one chain end using the exact representation of the distribution function in terms of the Green's function of the quantum rigid rotator in a homogeneous external field. The transverse one-dimensional distribution function of the free chain end displays a bimodal shape in the intermediate range of chain lengths (1.3Lp,...,3.5Lp). We also present analytical results for short and long chains, which are in complete agreement with the results of previous studies obtained using different methods.

Citations