Bead-rod-spring models in random flows
Emmanuel Lance Christopher VI Medillo Plan, Aamir Ali, Dario, Vincenzi
TL;DR
This paper derives a diffusion equation for bead-rod-spring models in random flows and provides an analytical solution for a specific elastic rhombus model under isotropic conditions, advancing the understanding of polymer solution dynamics.
Contribution
It introduces a general diffusion equation for bead-rod-spring models in Gaussian random flows and solves it analytically for the elastic rhombus model.
Findings
Derived the diffusion equation for bead-rod-spring configurations in random flows.
Provided an analytical solution for the elastic rhombus model under isotropic conditions.
Enhanced theoretical understanding of polymer configurations in stochastic flow environments.
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].
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Taxonomy
TopicsStochastic processes and statistical mechanics · Diffusion and Search Dynamics · Theoretical and Computational Physics