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Relaxation dynamics near the sol-gel transition: From cluster approach to mode-coupling theory (Articolo in rivista)
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- Relaxation dynamics near the sol-gel transition: From cluster approach to mode-coupling theory (Articolo in rivista) (literal)
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- 2014-01-01T00:00:00+01:00 (literal)
- Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
- 10.1140/epjst/e2014-02265-0 (literal)
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Coniglio, A.; Arenzon, J. J.; Fierro, A.; Sellitto, M. (2014)
Relaxation dynamics near the sol-gel transition: From cluster approach to mode-coupling theory
in The European physical journal. Special topics
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- Coniglio, A.; Arenzon, J. J.; Fierro, A.; Sellitto, M. (literal)
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- University of Naples Federico II; Universidade Federal do Rio Grande do Sul; Seconda Universita degli Studi di Napoli (literal)
- Titolo
- Relaxation dynamics near the sol-gel transition: From cluster approach to mode-coupling theory (literal)
- 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. (literal)
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