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The Interplay between the Theories of Mode Coupling and of Percolation Transition in Attractive Colloidal Systems
In the recent years a considerable effort has been devoted to foster the understanding of the basic mechanisms underlying the dynamical arrest that is involved in glass forming in supercooled liquids and in the sol-gel transition. The elucidation of the nature of such processes represents one of the...
Autores principales: | , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2022
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9141735/ https://www.ncbi.nlm.nih.gov/pubmed/35628124 http://dx.doi.org/10.3390/ijms23105316 |
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author | Mallamace, Francesco Mensitieri, Giuseppe Salzano de Luna, Martina Lanzafame, Paola Papanikolaou, Georgia Mallamace, Domenico |
author_facet | Mallamace, Francesco Mensitieri, Giuseppe Salzano de Luna, Martina Lanzafame, Paola Papanikolaou, Georgia Mallamace, Domenico |
author_sort | Mallamace, Francesco |
collection | PubMed |
description | In the recent years a considerable effort has been devoted to foster the understanding of the basic mechanisms underlying the dynamical arrest that is involved in glass forming in supercooled liquids and in the sol-gel transition. The elucidation of the nature of such processes represents one of the most challenging unsolved problems in the field of material science. In this context, two important theories have contributed significantly to the interpretation of these phenomena: the Mode-Coupling theory (MCT) and the Percolation theory (PT). These theories are rooted on the two pillars of statistical physics, universality and scale laws, and their original formulations have been subsequently modified to account for the fundamental concepts of Energy Landscape (EL) and of the universality of the fragile to strong dynamical crossover (FSC). In this review, we discuss experimental and theoretical results, including Molecular Dynamics (MD) simulations, reported in the literature for colloidal and polymer systems displaying both glass and sol-gel transitions. Special focus is dedicated to the analysis of the interferences between these transitions and on the possible interplay between MCT and PT. By reviewing recent theoretical developments, we show that such interplay between sol-gel and glass transitions may be interpreted in terms of the extended F13 MCT model that describes these processes based on the presence of a glass-glass transition line terminating in an A3 cusp-like singularity (near which the logarithmic decay of the density correlator is observed). This transition line originates from the presence of two different amorphous structures, one generated by the inter-particle attraction and the other by the pure repulsion characteristic of hard spheres. We show here, combining literature results with some new results, that such a situation can be generated, and therefore experimentally studied, by considering colloidal-like particles interacting via a hard core plus an attractive square well potential. In the final part of this review, scaling laws associated both to MCT and PT are applied to describe, by means of these two theories, the specific viscoelastic properties of some systems. |
format | Online Article Text |
id | pubmed-9141735 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2022 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-91417352022-05-28 The Interplay between the Theories of Mode Coupling and of Percolation Transition in Attractive Colloidal Systems Mallamace, Francesco Mensitieri, Giuseppe Salzano de Luna, Martina Lanzafame, Paola Papanikolaou, Georgia Mallamace, Domenico Int J Mol Sci Review In the recent years a considerable effort has been devoted to foster the understanding of the basic mechanisms underlying the dynamical arrest that is involved in glass forming in supercooled liquids and in the sol-gel transition. The elucidation of the nature of such processes represents one of the most challenging unsolved problems in the field of material science. In this context, two important theories have contributed significantly to the interpretation of these phenomena: the Mode-Coupling theory (MCT) and the Percolation theory (PT). These theories are rooted on the two pillars of statistical physics, universality and scale laws, and their original formulations have been subsequently modified to account for the fundamental concepts of Energy Landscape (EL) and of the universality of the fragile to strong dynamical crossover (FSC). In this review, we discuss experimental and theoretical results, including Molecular Dynamics (MD) simulations, reported in the literature for colloidal and polymer systems displaying both glass and sol-gel transitions. Special focus is dedicated to the analysis of the interferences between these transitions and on the possible interplay between MCT and PT. By reviewing recent theoretical developments, we show that such interplay between sol-gel and glass transitions may be interpreted in terms of the extended F13 MCT model that describes these processes based on the presence of a glass-glass transition line terminating in an A3 cusp-like singularity (near which the logarithmic decay of the density correlator is observed). This transition line originates from the presence of two different amorphous structures, one generated by the inter-particle attraction and the other by the pure repulsion characteristic of hard spheres. We show here, combining literature results with some new results, that such a situation can be generated, and therefore experimentally studied, by considering colloidal-like particles interacting via a hard core plus an attractive square well potential. In the final part of this review, scaling laws associated both to MCT and PT are applied to describe, by means of these two theories, the specific viscoelastic properties of some systems. MDPI 2022-05-10 /pmc/articles/PMC9141735/ /pubmed/35628124 http://dx.doi.org/10.3390/ijms23105316 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). |
spellingShingle | Review Mallamace, Francesco Mensitieri, Giuseppe Salzano de Luna, Martina Lanzafame, Paola Papanikolaou, Georgia Mallamace, Domenico The Interplay between the Theories of Mode Coupling and of Percolation Transition in Attractive Colloidal Systems |
title | The Interplay between the Theories of Mode Coupling and of Percolation Transition in Attractive Colloidal Systems |
title_full | The Interplay between the Theories of Mode Coupling and of Percolation Transition in Attractive Colloidal Systems |
title_fullStr | The Interplay between the Theories of Mode Coupling and of Percolation Transition in Attractive Colloidal Systems |
title_full_unstemmed | The Interplay between the Theories of Mode Coupling and of Percolation Transition in Attractive Colloidal Systems |
title_short | The Interplay between the Theories of Mode Coupling and of Percolation Transition in Attractive Colloidal Systems |
title_sort | interplay between the theories of mode coupling and of percolation transition in attractive colloidal systems |
topic | Review |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9141735/ https://www.ncbi.nlm.nih.gov/pubmed/35628124 http://dx.doi.org/10.3390/ijms23105316 |
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