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Dagès N, Bouthier LV, Matthews L, Manneville S, Divoux T, Poulesquen A, Gibaud T. Interpenetration of fractal clusters drives elasticity in colloidal gels formed upon flow cessation. SOFT MATTER 2022; 18:6645-6659. [PMID: 36004507 DOI: 10.1039/d2sm00481j] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/28/2023]
Abstract
Colloidal gels are out-of-equilibrium soft solids composed of attractive Brownian particles that form a space-spanning network at low volume fractions. The elastic properties of these systems result from the network microstructure, which is very sensitive to shear history. Here, we take advantage of such sensitivity to tune the viscoelastic properties of a colloidal gel made of carbon black nanoparticles. Starting from a fluidized state at an applied shear rate 0, we use an abrupt flow cessation to trigger a liquid-to-solid transition. We observe that the resulting gel is all the more elastic when the shear rate 0 is low and that the viscoelastic spectra can be mapped on a master curve. Moreover, coupling rheometry to small angle X-ray scattering allows us to show that the gel microstructure is different from gels solely formed by thermal agitation where only two length scales are observed: the dimension of the colloidal and the dimension of the fractal aggregates. Competition between shear and thermal energy leads to gels with three characteristic length scales. Such gels structure in a percolated network of fractal clusters that interpenetrate each other. Experiments on gels prepared with various shear histories reveal that cluster interpenetration increases with decreasing values of the shear rate 0 applied before flow cessation. These observations strongly suggest that cluster interpenetration drives the gel elasticity, which we confirm using a structural model. Our results, which are in stark contrast to previous literature, where gel elasticity was either linked to cluster connectivity or to bending modes, highlight a novel local parameter controlling the macroscopic viscoelastic properties of colloidal gels.
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Affiliation(s)
- Noémie Dagès
- Univ Lyon, Ens de Lyon, Univ Claude Bernard, CNRS, Laboratoire de Physique, F69342 Lyon, France.
| | - Louis V Bouthier
- Groupe CFL, CEMEF, Mines Paristech, 1 Rue Claude Daunesse, 06904 Sophia Antipolis, France
| | - Lauren Matthews
- ESRF - The European Synchrotron, 38043 Grenoble Cedex, France
| | - Sébastien Manneville
- Univ Lyon, Ens de Lyon, Univ Claude Bernard, CNRS, Laboratoire de Physique, F69342 Lyon, France.
| | - Thibaut Divoux
- Univ Lyon, Ens de Lyon, Univ Claude Bernard, CNRS, Laboratoire de Physique, F69342 Lyon, France.
| | - Arnaud Poulesquen
- CEA, DES, ISEC, DE2D, SEAD, LCBC, Université of Montpellier, Marcoule, France
| | - Thomas Gibaud
- Univ Lyon, Ens de Lyon, Univ Claude Bernard, CNRS, Laboratoire de Physique, F69342 Lyon, France.
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Tayurskii D, Lysogorskiy Y. Quantum fluids in nanoporous media—Effects of the confinement and fractal geometry. CHINESE SCIENCE BULLETIN-CHINESE 2011. [DOI: 10.1007/s11434-011-4761-z] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/24/2022]
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Pelous J, Vacher R, Woignier T, Sauvajol JL, Courtens E. Scaling phonon-fracton dispersion laws in fractal aerogels. ACTA ACUST UNITED AC 2006. [DOI: 10.1080/13642818908208446] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/23/2022]
Affiliation(s)
- J. Pelous
- a Laboratoire de Science des Matériaux Vitreux (associé au CNRS 1119) , Université des Sciences et Techniques du Languedoc , F-34060 , Montpellier Cedex , France
| | - R. Vacher
- a Laboratoire de Science des Matériaux Vitreux (associé au CNRS 1119) , Université des Sciences et Techniques du Languedoc , F-34060 , Montpellier Cedex , France
| | - T. Woignier
- a Laboratoire de Science des Matériaux Vitreux (associé au CNRS 1119) , Université des Sciences et Techniques du Languedoc , F-34060 , Montpellier Cedex , France
| | - J. L. Sauvajol
- b Groupe de Dynamique des Phases Condensées (associé au CNRS 233) , Université des Sciences et Techniques du Languedoc , F-34060 , Montpellier Cedex , France
| | - E. Courtens
- c IBM Research Division, Zurich Research Laboratory , 8803 , Riischlikon , Switzerland
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Jeng US, Liu WJ, Lin TL, Wang LY, Chiang LY. Fractal Structure of Polyhydroxylated Fullerenes in Water Solutions. ACTA ACUST UNITED AC 1999. [DOI: 10.1080/10641229909351364] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
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Zabel IH, Stroud D. Metal clusters and model rocks: Electromagnetic properties of conducting fractal aggregates. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 46:8132-8138. [PMID: 10002570 DOI: 10.1103/physrevb.46.8132] [Citation(s) in RCA: 25] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Granek R. Lattice vibrations in time-fluctuating percolation networks: Application to Brillouin scattering from glasses and liquids. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:12244-12259. [PMID: 10001260 DOI: 10.1103/physrevb.45.12244] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Wong P, Cao Q. Correlation function and structure factor for a mass fractal bounded by a surface fractal. PHYSICAL REVIEW. B, CONDENSED MATTER 1992; 45:7627-7632. [PMID: 10000570 DOI: 10.1103/physrevb.45.7627] [Citation(s) in RCA: 27] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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Fricke J, Emmerling A. Aerogels—Preparation, properties, applications. CHEMISTRY, SPECTROSCOPY AND APPLICATIONS OF SOL-GEL GLASSES 1992. [DOI: 10.1007/bfb0036965] [Citation(s) in RCA: 109] [Impact Index Per Article: 3.4] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/03/2022]
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Blinc A, Lahajnar G, Blinc R, Zidansek A, Sepe A. Proton NMR study of the state of water in fibrin gels, plasma, and blood clots. Magn Reson Med 1990; 14:105-22. [PMID: 2161980 DOI: 10.1002/mrm.1910140111] [Citation(s) in RCA: 23] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/30/2022]
Abstract
A proton NMR relaxation and pulsed field gradient self-diffusion study of water in fibrin gels, plasma, and blood clots has been performed with special emphasis on the effect of the sol-gel and shrinkage transitions. Deuteron NMR in fibrin gels was also studied to supplement the proton data. It is shown that a measurement of the water proton or deuteron T1/T2 ratio allows for a determination of the bound water fraction in all these systems. The change in the T1/T2 ratio at the shrinkage transition further allows for a determination of the surface fractal dimension of the gel if the change in the volume of the gel is known. The self-diffusion coefficient of water in these systems, which determines the transport properties of the gel, is found to be proportional to the free water fraction in both the nonshrunken and shrunken state.
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Affiliation(s)
- A Blinc
- University Institute of Gerontology, Trnovo Internal Clinic, Ljubjana, Yugoslavia
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Alexander S. Vibrations of fractals and scattering of light from aerogels. PHYSICAL REVIEW. B, CONDENSED MATTER 1989; 40:7953-7965. [PMID: 9991227 DOI: 10.1103/physrevb.40.7953] [Citation(s) in RCA: 81] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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