Entanglement in solutions of
semiflexible polymers

Outline

Wormlike Chains

Concentration Regimes - Semiflexible Rods (L<L_p)

Solutions of Actin Protein Filaments

Flourescence Microscopy of Entangled Actin Filaments

Concentration Regimes - Semiflexible Coils ( L>>L_p )

Isotropic Nematic Transition

Concentration Regimes

Model "Rodlike" Polymers

Semiflexible Polymer in a Tube

Slide 12

Brownian Dynamics Simulations of Entangled Solutions

Slide 14

Slide 15

Slide 16

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Slide 18

Scaling collapse of  áDd²(t)ñ

Concentration dependence of R_e

Concentration dependence of t_e

MSD Transverse to Tube of Chain in a Frozen Network

Slide 23

Rotational Diffusivity - Theory

Rotational diffusivity in concentrated solutions

Linear Viscoelasticity (a preliminary attempt)

 A Theory of the Tube Diameter

Binary Collision Approximation

Slide 29

Slide 30

Effective Medium Approximation

Slide 32

Elastic Network Approximation (ENA)

Predictions for Tube Radius and Entanglement Length

Tube Radii from Theory, Simulations, and Experiment

Theory and Simulation for a Chain in a Frozen Network

Conclusions