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Probability Distribution Function of the Polymer End‐to‐End Molecule Vector after Retraction and its Application to Step Deformation
Author(s) -
Kharlamov Alexander A.,
RolónGarrido Víctor H.,
Filip Petr
Publication year - 2010
Publication title -
macromolecular theory and simulations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.37
H-Index - 56
eISSN - 1521-3919
pISSN - 1022-1344
DOI - 10.1002/mats.200900071
Subject(s) - polymer , deformation (meteorology) , molecule , distribution function , function (biology) , distribution (mathematics) , moment (physics) , materials science , probability density function , probability distribution , physics , statistical physics , mechanics , classical mechanics , mathematics , mathematical analysis , thermodynamics , composite material , statistics , quantum mechanics , evolutionary biology , biology
The classical Doi‐Edwards model describes the dynamics of polymer strands between entanglements and predicts stress in linear polymers. This contribution considers the dynamics of whole molecules within the same tube picture. The probability distribution function of the end‐to‐end molecule vectors after deformation and retraction was calculated. The second moment of the distribution function coincides with that derived earlier by Doi and Edwards. The damping function shows considerably weaker thinning if the molecule end‐to‐end vector is considered as a Hookean spring. The present model describes one of the possible mechanisms leading to weaker damping exhibiting, e.g., by branched polymers.