Relaxation dynamics near the sol–gel transition: From cluster approach to mode-coupling theory View Full Text


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Article Info

DATE

2014-10

AUTHORS

A. Coniglio, J.J. Arenzon, A. Fierro, M. Sellitto

ABSTRACT

A long standing problem in glassy dynamics is the geometrical interpretation of clusters and the role they play in the observed scaling laws. In this context, the mode-coupling theory (MCT) of type-A transition and the sol–gel transition are both characterized by a structural arrest to a disordered state in which the long-time limit of the correlator continuously approaches zero at the transition point. In this paper, we describe a cluster approach to the sol-gel transition and explore its predictions, including universal scaling laws and a new stretched relaxation regime close to criticality. We show that while MCT consistently describes gelation at mean-field level, the percolation approach elucidates the geometrical character underlying MCT scaling laws. More... »

PAGES

2297-2306

References to SciGraph publications

  • 2000-08. Viscosity critical behaviour at the gel point in a 3d lattice model in THE EUROPEAN PHYSICAL JOURNAL E
  • 2003-10. Diffusion of gelation clusters in the Zimm model in THE EUROPEAN PHYSICAL JOURNAL E
  • 2001-03. Supercooled liquids and the glass transition in NATURE
  • 2005-03-13. Gelation and critical phenomena in POLYMER NETWORKS
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    http://scigraph.springernature.com/pub.10.1140/epjst/e2014-02265-0

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