Two simple approaches to sol-gel transition

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Title	Two simple approaches to sol-gel transition
Authors	Olemskoy, Alexandr Ivanovich Krakovskiy, Ivan
ORCID
Keywords	polymer gelation sol-gel transition shear stress/strain shear modulus
Type	Article
Date of Issue	2001
URI	http://essuir.sumdu.edu.ua/handle/123456789/2760
Publisher	Physica A
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Citation	Olemskoy, A.I. Two simple approaches to sol-gel transition [Текст] / A.I. Olemskoy, I. Krakovskiy // Physica A. — 2001. — vol.291. — p. 79-88
Abstract	We represent a theory of polymer gelation as an analogue of liquid–glass transition in which elastic fields of stress and strain shear components appear spontaneously as a consequence of the cross-linking of macromolecules. This circumstance is explained on the basis of obvious combinatoric arguments as well as a synergetic Lorenz system, where the strain acts as an order parameter, a conjugate field is reduced to the elastic stress, and the number of cross-links is a control parameter. Both the combinatoric and synergetic approaches show that an anomalous slow dependence of the shear modulus on the number of cross-links is obtained. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/2760
Appears in Collections:	Наукові видання (ЕлІТ)