Polymer Physics

When the numbermis large,Vi<<V, one may approximately obtain lnP¼ X lnð 1  Vi V Þ XVi V ¼m <Vi> V (10.36) is the ...

t 1 = 2 ¼ð ln 2 K Þ^1 =nþt 0 (10.40) It should be noted that the time evolution of crystallinity includes not only crystal growt ...

Substituting (10.42) and (10.43) into (10.36) in the above derivation process for Avrami equation, one obtains lnP¼ m V <Vi& ...

with Avrami equation (Liu and Mo 1991 ;Mo 2008 ), to derive the relationship under same crystallinity at the same time, as given ...

Bravais A (1849) Etudes crystallographiques, Part 1: Du Cristal conside ́re ́comme un simple assemblage de points, Paris, pp 101 ...

Kolmogorov AN (1937) On the statistical theory of metal crystallization (in Russian). Izvest Akad Nauk SSSR Ser Mat 3:335–360 La ...

Chapter 11 Interplay Between Phase Separation and Polymer Crystallization 11.1 Complexity of Polymer Phase Transitions Soft matt ...

porous membranes and foam materials via thermal stimulating process to control their microscopic structures (Graham and McHugh 1 ...

parameter sets. Since the molecular simulations do not use the mean-field assump- tion, the quantitative consistence between two ...

11.2 Enhanced Phase Separation in the Blends Containing Crystallizable Polymers Crystallization is often component-selective in ...

polypropylene is crystallizable, while atactic polypropylene is non-crystallizable. Such an asymmetry of crystallization driving ...

with the theoretical predictions (solid lines); but once approaching to the coexis- tence curves, the simulated binodals shift u ...

The critical points of the C1, C2 and C3 systems correspondingly are close to the melting point, in the region of spontaneous cr ...

factors during spinodal decomposition: the maximum of the structure factors increases with time but the peak location does not c ...

calculated from (11.1) and illustrated in Fig.11.7. Supposing polymer blends homo- geneous although thermodynamically immiscible ...

result has been verified by the parallel simulations (Zha and Hu 2009 ). The interface-induced crystal nucleation in the precipi ...

out that the primary chemical structure of proteins decided their native tertiary structure with minimum free energy (Anfinsen 1 ...

The effect is similar with the prior phase separation for the acceleration of crystal nucleation in the concentrated phase, as d ...

11.6 Interplay of Phase Transitions in Diblock Copolymers The examples presented above are limited in the intermolecular multi-c ...

homogeneous crystal nucleation inducing random stacking of lamellar crystals. If microphase separation occurs first, we observe ...