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Bimodal distribution function of a 3d wormlike chain with a fixed orientation of one end

F. F. Semeriyanov·S. Stepanow
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Abstract

We study the distribution function of the 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 1d distribution function of the free chain end displays a bimodal shape in the intermediate range of the chain lengths ($1.3L_{p},...,3.5L_{p}$). We present also analytical results for short and long chains, which are in complete agreement with the results of previous studies obtained using different methods.

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F. F. Semeriyanov, S. Stepanow. 2007-02-05. Bimodal distribution function of a 3d wormlike chain with a fixed orientation of one end. https://doi.org/10.1103/physreve.75.061801

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