Abstract:
Data on the fractal forms of macromolecules, the existence of which is predetermined by thermodynamic nonequlibrium and by the presence of deterministic order, are considered. The limitations of the concept of polymer fractal (macromolecular coil), of the Vilgis concept, and of the possibility of modelling in terms of the percolation theory and diffusion-limited irreversible aggregation are discussed. It is noted that not only macromolecular coils but also the segments of macromolecules between topological fixing points (cross-links, entanglements) are stochastic fractals; this is confirmed by the model of structure formation in a network polymer. The bibliography includes 141 references.
Received: 12.11.1999
Bibliographic databases:
Document Type:
Article
UDC:
541.64:539.2:669.017
Language: English
Original paper language: Russian
Citation:
V. U. Novikov, G. V. Kozlov, “Fractal analysis of macromolecules”, Usp. Khim., 69:4 (2000), 378–399; Russian Chem. Reviews, 69:4 (2000), 347–366
Linking options:
https://www.mathnet.ru/eng/rcr1520
https://doi.org/10.1070/RC2000v069n04ABEH000523
https://www.mathnet.ru/eng/rcr/v69/i4/p378
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Cruz-Morales J.A., Vargas J., Santiago A.A., Burelo M., Gutierrez S., J. Polym. Res., 28:7 (2021), 248