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The European Physical Journal Special Topics

, Volume 223, Issue 11, pp 2297–2306 | Cite as

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

  • A. Coniglio
  • J.J. Arenzon
  • A. Fierro
  • M. Sellitto
Review
Part of the following topical collections:
  1. Dynamic Systems: From Statistical Mechanics to Engineering Applications

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.

Keywords

European Physical Journal Special Topic Cluster Approach Bethe Lattice Static Structure Factor Memory Kernel 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences and Springer 2014

Authors and Affiliations

  • A. Coniglio
    • 1
  • J.J. Arenzon
    • 2
  • A. Fierro
    • 1
  • M. Sellitto
    • 3
  1. 1.CNR-SPIN, Dipartimento di Scienze Fisiche, Università di Napoli “Federico II”NapoliItaly
  2. 2.Instituto de Física, Universidade Federal do Rio Grande do SulPorto AlegreBrazil
  3. 3.Dipartimento di Ingegneria Industriale e dell’Informazione, Seconda Università di NapoliAversa (CE)Italy

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