Polymer Physics

The total free energy change becomes F¼EelþEads¼kTnð b d Þ^1 =nen b d (4.99) By minimizingFwith respect tod,∂F/∂d¼0, one obtain ...

In the concentrated solutions, multiple chains are adsorbed on the substrate, and the distances away from the substrate surface ...

Dobrynin AV, Rubinstein M, Obukhov SP (1996) Cascade of transitions of polyelectrolytes in poor solvents. Macromolecules 29:2974 ...

Rayleigh L (1882) On the equilibrium of liquid conducting masses charged with electricity. Philos Mag 14:184–186 Rubin RJ (1965) ...

Part II Chain Motion ...

Chapter 5 Scaling Analysis of Polymer Dynamics 5.1 Simple Fluids In this part, we start with the basic laws of molecular motions ...

According to thefluctuation-dissipation theoremin Brownian motions (Nyquist 1928 ), both the driving forces and the frictional f ...

We can regard the motion of polymer coils in a dilute solution as in thenon- draining modeof spherical particles, which means th ...

In a good solvent, Rn^3 =^5 (5.16) and we can obtain theKirkwood-Riseman equation(Kirkwood and Riseman 1948 ) ½Šn^4 =^5 (5.17 ...

For each bead in the middle of the chain, the total elastic force results from the springs of its two sides, as given by fi¼ @E ...

We know the Einstein relationship Dp¼ kT zp (5.27) and consider the free-draining mode, zp¼ zn p (5.28) We substitute the three ...

as illustrated in Fig.5.3. Both experiments and computer simulations on short polymer chains in the melt phase have verified suc ...

<½rðtpÞrð 0 ފ^2 >ZR^2 pZt 2 = 3 pZ (5.38) Thus we can obtain that, in the time window oft 0 <t<tZ, corresponding ...

5.3 Long Chains When a long chain diffuses within its bulk melt phase, it remains a coil-like shape containing many other interp ...

Imagining that the frictional barrier for the motion of each blob is integrated into that for the motion of the whole chain, thu ...

reptation chain diffuses even slower than the Rouse chain. The overall scaling relationships of the chain dynamics for the repta ...

whereJ(t)is called the time-dependentcreep compliance.Whent<tt,polymer chains are trapped in an elastic network of entangleme ...

For the short chains in the melt phase, the whole chain could not relax within the time scale of the Rouse time, but rather form ...

faster diffusion of the latter. Hence, the local constraint on the tube shape confining the long chain is released, which is cal ...

Fox TG, Flory PJ (1948) Viscosity-molecular weight and viscosity- temperature relationships for polystyrene and polyisobutylene. ...