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arxiv: 1609.08190 · v1 · pith:BE33VCGPnew · submitted 2016-09-26 · ❄️ cond-mat.stat-mech · nlin.CD

Bead-rod-spring models in random flows

classification ❄️ cond-mat.stat-mech nlin.CD
keywords bead-rod-springequationflowsmodelmodelsrandomanalyticallybird
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Bead-rod-spring models are the foundation of the kinetic theory of polymer solutions. We derive the diffusion equation for the probability density function of the configuration of a general bead-rod-spring model in short-correlated Gaussian random flows. Under isotropic conditions, we solve this equation analytically for the elastic rhombus model introduced by Curtiss, Bird, and Hassager [Adv. Chem. Phys. 35 (1976), pp. 31-117].

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