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Multilayer Markov Chains with Applications to Polymers in Shear Flow |
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| Authors: | J. Dubbeldam F. Redig |
| Affiliation: | (1) Eindhoven Polymer Laboratories, Eindhoven University of Technology, P.O. Box 513, Eindhoven, Netherlands;(2) Max-Planck Institute for Polymer Research Mainz, P.O. Box 3148, D-55021 Mainz, Germany;(3) Mathematisch Instituut Universiteit Leiden, Niels Bohrweg 1, 2333 CA Leiden, The Netherlands |
| Abstract: | We present an analysis of multilayer Markov chains and apply the results to a model of a tethered polymer chain in shear flow. We find that the stationary probability measure in the direction of the flow is nonmonotonic, and has several maxima and minima for sufficiently high shear rates. This is in agreement with the experimental observation of cyclic dynamics for such polymer systems. Estimates for the stationary variance and expectation value were obtained and showed to be in accordance with our numerical results. |
| Keywords: | multilayer Markov chain polymer shear flow Ornstein Uhlenbeck process |
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