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29 March 2024
 
  » arxiv » cond-mat/0107566

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Anomalous stress relaxation in random macromolecular networks
Kurt Broderix ; Henning Löwe ; Peter Müller ; Annette Zippelius ;
Date 27 Jul 2001
Journal Physica A, vol. 302, pp. 279-289 (2001) DOI: 10.1016/S0378-4371(01)00471-X
Subject Statistical Mechanics; Disordered Systems and Neural Networks; Soft Condensed Matter; Chemical Physics | cond-mat.stat-mech cond-mat.dis-nn cond-mat.soft physics.chem-ph
AffiliationGöttingen, Germany
AbstractWithin 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 $k=phi -eta$, where $phi$ is the (first) crossover exponent of random resistor networks, and $eta$ is the critical exponent for the gel fraction. We also derive new results on the behaviour of normal stress coefficients.
Source arXiv, cond-mat/0107566
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