Two simple approaches to sol–gel transition

Alexander I. Olemskoi and Ivan Krakovský

Physica A: Statistical Mechanics and its Applications, 2001, vol. 291, issue 1, 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.

Keywords: Polymer gelation; sol–gel transition; Shear stress/strain; Shear modulus (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:291:y:2001:i:1:p:79-88

DOI: 10.1016/S0378-4371(00)00501-X

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