Schematic representation of B(B3)2 with a branch point and three arms.
Sketch of B(B3)2 on the right with a branch point made by joining two B4 chains on the left.
Diffusion of B7 and B(B3)2. For both center of mass and blobs, these two chains diffuse in the same way.
Stress autocorrelation function of B7 and B(B3)2, they are following the same relaxation behavior.
Probability distributions of bending angles in arbitrary unit. Panel (a) shows the bond angles along the arms, and curve in panel (b) for those at the branch points.
Diagram of an entanglement slipping past a branch point.
Time autocorrelation function of the unit vector directed from the branch point to the end of three arms for B(B3)3, and end-to-end vector for linear B4 and linear B7.
Blob mean square displacement (dashed) and center of mass mean square displacement (solid) of B(B3)3 with (black) and without (red) entanglement.
Mean square displacement of each blob in B(B3)3 with entanglement. From the bottom to top, the curves are corresponding to the from innermost branch point to outermost free ends along each star arms.
Mode relaxations in B(B3)3, scaled as ln[C k (t)] on a linear scale. The solid black and red curves are the modes corresponding to the system with and without entanglements. The circles and dotted lines are the respective fits for each mode number k.
Blob displacements of B(B3)3. The dotted lines are numerical calculations from the modes: the upper groups are using the Rouse exponential fit, and the lower groups are the ones from stretched exponential fit. The solid lines are simulation results for comparisons.
The storage and loss moduli, G ′(ω) and G ″(ω), of B(B3)3 system, transformed from stress relaxation curve G(t) on top left.
Comparisons of center of mass mean square displacement in B(B3)3, B10, and B7.
Comparisons of zero shear relaxation in B(B3)3, B10, and B7.
Interactions between non-bonded and bonded blobs.
Parameters for potential of mean force.
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