| Issue |
Europhys. Lett.
Volume 51, Number 3, August I 2000
|
|
|---|---|---|
| Page(s) | 355 - 360 | |
| Section | Interdisciplinary physics and related areas of science and technology | |
| DOI | https://doi.org/10.1209/epl/i2000-00360-9 | |
| Published online | 01 September 2002 | |
Supersymmetry solution for finitely extensible dumbbell model
1
Department of Materials, Institute of Polymers, ETH
Zürich CH–8092 Zürich, Switzerland
2
Institute Applied Computing, CNR - Viale Policlinico 137, 00161
Roma, Italy
Corresponding author: pilg@ifp.mat.ethz.ch
Received:
26
January
2000
Accepted:
31
May
2000
Exact relaxation times and eigenfunctions for a simple mechanical model of polymer dynamics are obtained using supersymmetry methods of quantum mechanics. The model includes the finite extensibility of the molecule and does not make use of the self-consistently averaging approximation. The finite extensibility reduces the relaxation times when compared to a linear force. The linear viscoelastic behaviour is obtained in the form of the “generalized Maxwell model”. Using these results, a numerical integration scheme is proposed in the presence of a given flow kinematics.
PACS: 83.10.Nn – Polymer dynamics / 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.) / 03.65.Fd – Algebraic methods
© EDP Sciences, 2000
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