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Anomalous stress relaxation in random macromolecular networks

Author

Listed:
  • Broderix, Kurt
  • Löwe, Henning
  • Müller, Peter
  • Zippelius, Annette

Abstract

Within the framework of a simple Rouse-type model we present exact analytical results for dynamical critical behaviour on the sol side of the gelation transition. The stress–relaxation function is shown to exhibit a stretched-exponential long-time decay. The divergence of the static shear viscosity is governed by the critical exponent k=φ−β, where φ is the (first) crossover exponent of random resistor networks, and β is the critical exponent for the gel fraction. We also derive new results on the behaviour of normal stress coefficients.

Suggested Citation

  • Broderix, Kurt & Löwe, Henning & Müller, Peter & Zippelius, Annette, 2001. "Anomalous stress relaxation in random macromolecular networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 302(1), pages 279-289.
  • Handle: RePEc:eee:phsmap:v:302:y:2001:i:1:p:279-289
    DOI: 10.1016/S0378-4371(01)00471-X
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