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Correction: Interpenetration of fractal clusters drives elasticity in colloidal gels formed upon flow cessation

Noémie Dagès a, Louis V. Bouthier b, Lauren Matthews c, Sébastien Manneville a, Thibaut Divoux a, Arnaud Poulesquen d and Thomas Gibaud *a
aUniv Lyon, Ens de Lyon, Univ Claude Bernard, CNRS, Laboratoire de Physique, F69342 Lyon, France. E-mail: thomas.gibaud@ens-lyon.fr
bGroupe CFL, CEMEF, Mines Paristech, 1 Rue Claude Daunesse, 06904 Sophia Antipolis, France
cESRF – The European Synchrotron, 38043 Grenoble Cedex, France
dCEA, DES, ISEC, DE2D, SEAD, LCBC, Université of Montpellier, Marcoule, France

Received 28th September 2022 , Accepted 28th September 2022

First published on 7th October 2022


Abstract

Correction for ‘Interpenetration of fractal clusters drives elasticity in colloidal gels formed upon flow cessation’ by Noémie Dagès et al., Soft Matter, 2022, 18, 6645–6659, https://doi.org/10.1039/D2SM00481J.


The authors regret a mistake in the derivation of the interpenetration ϕ-power law model in the published article. This mistake appears in eqn (8) and has repercussions on the final equation giving the gel elasticity image file: d2sm90130g-t1.tif in eqn (1) and (15). The corrected calculation of image file: d2sm90130g-t2.tif corroborates the experimental data presented in Fig. 4c of the published article. The paper’s conclusion remains therefore unchanged.

In the published article, in eqn (8), the conservation of mass is expressed as

 
image file: d2sm90130g-t3.tif(1)
This is true if the size ξs is the only length scale playing a role in the clusters and the network. However, in our case, there are two length scales ξs and ξc which brings
 
image file: d2sm90130g-t4.tif(2)
This has an impact on eqn (15) which becomes
 
image file: d2sm90130g-t5.tif(3)
or in a compact form
 
image file: d2sm90130g-t6.tif(4)

Fig. 4c in the published article displays the variations of the gel crossover elasticity Gc as a function of the shear rate intensity [small gamma, Greek, dot above]0 applied before flow cessation and the fit using the interpenetration ϕ-power law model. We note that image file: d2sm90130g-t7.tif. The fit of Gc in this figure needs to be modified accordingly to eqn (4) above and replaced by Fig. 1 shown here. In this Fig. 1, the corrected model fits well the data. The conclusion of the paper remains therefore unchanged.


image file: d2sm90130g-f1.tif
Fig. 1 Evolution of Gcvs. [small gamma, Greek, dot above]0. The red line is the best fit of the data using eqn (4) here and the structural information reported in Fig. 6a of the published article. The best fit is obtained with a single adjustable parameter, namely the prefactor GCB = 9 Pa.

The Royal Society of Chemistry apologises for these errors and any consequent inconvenience to authors and readers.


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