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Single Chain Slip-Spring Model for Fast Rheology Simulations of Entangled Polymers on GPU

Takashi Uneyama
JST-CREST, Institute for Chemical Research, Kyoto University, Gokasho, Uji 611-0011, Japan
arXiv:1106.2899v1 [cond-mat.soft] (15 Jun 2011)

@article{2011arXiv1106.2899U,

   author={Uneyama}, T.},

   title={"{Single Chain Slip-Spring Model for Fast Rheology Simulations of Entangled Polymers on GPU}"},

   journal={ArXiv e-prints},

   archivePrefix={"arXiv"},

   eprint={1106.2899},

   primaryClass={"cond-mat.soft"},

   keywords={Condensed Matter – Soft Condensed Matter},

   year={2011},

   month={jun},

   adsurl={http://adsabs.harvard.edu/abs/2011arXiv1106.2899U},

   adsnote={Provided by the SAO/NASA Astrophysics Data System}

}

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We propose a single chain slip-spring model, which is based on the slip-spring model by Likhtman [A. E. Likhtman, Macromolecules, 38, 6128 (2005)], for fast rheology simulations of entangled polymers on a GPU. We modify the original slip-spring model slightly for efficient calculations on a GPU. Our model is designed to satisfy the detailed balance condition, which enables us to analyze its static or linear response properties easily. We theoretically analyze several statistical properties of the model, such as the linear response, which will be useful to analyze simulation data. We show that our model can reproduce several rheological properties such as the linear viscoelasticity or the viscosity growth qualitatively. We also show that the use of a GPU can improve the performance drastically.
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