Bead-rod-spring models in random flows
arXiv:1609.08190 · doi:10.1103/PhysRevE.94.020501
Abstract
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].
6 pages, 3 figures
References in corpus (6)
- Rotation Rate of Rods in Turbulent Fluid Flow
- Fluctuation Relations for Diffusion Processes
- Measurements of the Solid-body Rotation of Anisotropic Particles in 3D Turbulence
- Nonlinear elastic polymers in random flow
- Dynamical Slowdown of Polymers in Laminar and Random Flows
- Statistics of Entropy Production in Linearized Stochastic System