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Two simple approaches to sol–gel transition

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  • I. Olemskoi, Alexander
  • Krakovský, Ivan

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.

Suggested Citation

  • I. Olemskoi, Alexander & Krakovský, Ivan, 2001. "Two simple approaches to sol–gel transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 291(1), pages 79-88.
    • Handle: RePEc:eee:phsmap:v:291:y:2001:i:1:p:79-88
    DOI: 10.1016/S0378-4371(00)00501-X
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