Anomalous stress relaxation in random macromolecular networks

Kurt Broderix, Henning Löwe, Peter Müller and Annette Zippelius

Physica A: Statistical Mechanics and its Applications, 2001, vol. 302, issue 1, 279-289

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.

Keywords: Dynamic critical phenomena; Gelation transition; Shear relaxation (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:302:y:2001:i:1:p:279-289

DOI: 10.1016/S0378-4371(01)00471-X

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