Simulation of entangled polymer solutions

Entangled polymer systems

Topological constraints, referred to as entanglements in the literature, dominate the viscoelastic behavior of high molecular weight polymeric liquids. To give a microscopic foundation of the phenomenological tube models which successfully describe this behavior, we have recently introduced a method for identifying the so-called primitive path mesh that characterizes the microscopic topological...

Deterministic Simulation of Multi-Beaded Models of Dilute Polymer Solutions

We study the convergence of a nonlinear approximation method introduced in the engineering literature for the numerical solution of a high-dimensional Fokker– Planck equation featuring in Navier–Stokes–Fokker–Planck systems that arise in kinetic models of dilute polymers. To do so, we build on the analysis carried out recently by Le Bris, Lelièvre and Maday (Const. Approx. 30: 621–651, 2009) in...

Simulation of Dilute Polymer and Polyelectrolyte Solutions: Concentration Effects

Entangled polymer chain solutions. Interpretation of the dipolar spin coupling modulation effect observed on NMR spectra

2014 Concentrated entangled polymer chain solutions are known to exhibit a NMR spectrum narrowing effect upon sample rotation. However, the expected side bands normally induced by dipolar coupling modulation are not observed. To explain this property, the spin-system response to a driving field is calculated to fourth order in the dipolar spin interaction, taking the spin coupling modulation in...

Entangled dynamics of a stiff polymer.

Entangled networks of stiff biopolymers exhibit complex dynamic response, emerging from the topological constraints that neighboring filaments impose upon each other. We propose a class of reference models for entanglement dynamics of stiff polymers and provide a quantitative foundation of the tube concept for stiff polymers. For an infinitely thin needle exploring a planar course of point obst...