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Dynamics of gelling liquids: a short survey | | Henning Löwe
; Peter Müller
; Annette Zippelius
; | | Date: |
6 Dec 2004 | | Journal: | J. Phys.: Condens. Matter 17, S1659-S1680 (2005) DOI: 10.1088/0953-8984/17/20/002 | | Subject: | Soft Condensed Matter; Statistical Mechanics | cond-mat.soft cond-mat.stat-mech | | Abstract: | 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. | | Source: | arXiv, cond-mat/0412101 | | Services: | Forum | Review | PDF | Favorites | |
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