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Cluster Model Interrelation with Modern Physical Concepts (Paperback, New)
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Cluster Model Interrelation with Modern Physical Concepts (Paperback, New)
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Fractal analysis gives just general mathematical description of
polymers, i.e. it does not identify structural units (elements),
from which any real polymer is formed. Physical description of
thermodynamically non-equilibrium polymer structure in the
framework of the local order ideas gives the cluster model of the
polymer amorphous state structure that quantitatively identify its
elements. Since these models consider the polymer structure
somewhat from two sides, they are excellent completing one another.
It is common knowledge that structures displaying fractal behaviour
on small length scale and being homogeneous on large length scale
are named homogeneous fractals. These fractals are percolation
clusters at the percolation threshold. As shown below, the cluster
structure represents the percolation system and, due to the
above-said, the homogeneous fractal. To put it differently, the
presence of the local order in the condensed phase of polymers
determines fractality of their structures.
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