Elastic critical behaviour in a 3d model for polymer gels

Abstract

The elastic response in polymeric gels is studied by means of a percolation dynamic model. By numerical simulations the fluctuations in the gyration radius and in the center of mass motion of the percolating cluster are determined. Their scaling behaviour at the gelation threshold gives a critical exponent for the elastic modulus $f\sim 2.5\pm 0.1$ in agreement with the prediction $f=d\nu$.

5 pages, 6 figures

Cited by in corpus (7)

• A unifying model for chemical and colloidal gels
• Complex viscosity behavior and cluster formation in attractive colloidal systems
• Scaling of Entropic Shear Rigidity
• Kinetics of bond formation in crosslinked gelatin gels
• Electro-Optic Modulator source as sample-free calibrator and frequency stabilizer for Brillouin Microscopy
• Dynamics of gelling liquids: a short survey
• Solution of Disordered Microphases in the Bethe approximation