Dynamics of gelling liquids: a short survey

Details Dynamics of gelling liquids: a short survey Dynamics of gelling liquids: a short survey

2004-12-06

arxiv.org/abs/cond-mat/0412101v2

J. Phys.: Condens. Matter 17, S1659-S1680 (2005)

Physics

Condensed Matter

Soft Condensed Matter

21 pages, 3 figures; Dedicated to Lothar Schaefer on the occasion of his 60th birthday; Changes: added comments on the gel pha

Scientific paper

10.1088/0953-8984/17/20/002

The dynamics of randomly crosslinked liquids is addressed via a Rouse- and a Zimm-type model with crosslink statistics taken either from bond percolation or Erdoes-Renyi random graphs. While the Rouse-type model isolates the effects of the random connectivity on the dynamics of molecular clusters, the Zimm-type model also accounts for hydrodynamic interactions on a preaveraged level. The incoherent intermediate scattering function is computed in thermal equilibrium, its critical behaviour near the sol-gel transition is analysed and related to the scaling of cluster diffusion constants at the critical point. Second, non-equilibrium dynamics is studied by looking at stress relaxation in a simple shear flow. Anomalous stress relaxation and critical rheological properties are derived. Some of the results contradict long-standing scaling arguments, which are shown to be flawed by inconsistencies.

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