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Z.J. Grzywna, M. Krasowska, Z. Siwy



The polymer structure and morphology in terms of the concepts of chaos and fractals


Polimery 1998, No 4, 225


DOI: dx.doi.org/10.14314/polimery.1998.225


Summary

A new type of analysis based on the concepts of chaos and fractals is applied to solve the structure and morphology problems in polymeric materials. The generalized fractal dimension, iterated function system (IFS) and the quasi-isomorphism are used to differentiate structures and to study their self-similarity. A new approach is presented to study the relationship between the structure and the transport properties of polymers, based on the measurements of ionic current, exemplified by a potassium ion current flowing through a poly(ethylene terephthalate) membrane. The concepts of transport and the topological structures of a polymer are discussed. The exponent a in the phenomenological Mark—Houwink relationship for polymers, eqn. (8), was redefined and related to the structure of the polimer in the solution (linear or dendritic polymer).


Keywords: polymeric materials, fractal dimension, iterated function system, quasi-isomorphism, transport properties, viscous properties, topological structure


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