Macromolecules fractal analysis

Strictly speaking, there is no fundamental difference between the molecular structure above and below the T in both cases, the structure is formed by long-chain macromolecules. They differ in the fact that the thermodynamically unstable state of the polymer existing below Tgis replaced by a quasi-equilibrimn state above Tg. Within the framework of fractal analysis, this means that the polymer structure ceases to be a fractal at T>Tg and becomes a Euclidean body (or, at least, a fairly close approximation). As noted by Flory [43], the ability to withstand severe deformations and restore entirely the initial characteristics when... 

Thirdly, e decay rate change at Z) growth at D=. 5 can be attributed to qualitative changes of the dependence with certain reservations. This bending point is not accidental and can be characterized within the framework of fractal analysis [25], where intersections number of two arbitrary fractals with dimensions and can be estimated according to the Eq. (13) of Chapter 1. The indicated equation predicts the possibility of two fractals interpenetration (their transparency and opaqueness. Fractals penetrate freely one into another (are transparent), if decreases at growth, that is, if + /2. Assuming Df=Df and =3, let us obtain the transparence (leakiness) condition for macromolecular coils D <. 5. Thus, the repulsive interactions intensification of either macromolecule elements or macromolecule and solvent results in the end in fractals (macromolecular coils) transparence one for another. 

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