Kinetic Theory of Plastic Flow in Soft Glassy Materials

Bocquet, Lydéric; Colin, Annie; Ajdari, Armand

doi:10.1103/physrevlett.103.036001

Cited by 332 publications

(530 citation statements)

References 27 publications

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“…This is because the Ostwald ripening (or LSW 5-7 ) process takes place, and the dispersed phase diffuses through the continuous one to reduce the total area of the interface. To quantify the role of the Ostwald ripening in our system, we have simulated a collection of droplets, initially at rest with a heterogeneous distribution of radii (ranging in the interval R˛ [10,50] …”

Section: Aging and Internal Rearrangementsmentioning

confidence: 99%

“…In both cases, the ratio hsi u /T(u) decays exponentially in (g P /g Y ) 2 (the bar is a guide for the eyes). The green squares correspond to N(u) found in the naive double well potential eqn (10). Notice that N(u) has been normalized to 1 for g P ¼ 0 in all cases.…”

Section: Connection With Lb Numerical Simulationsmentioning

confidence: 99%

“…We also posit that such a level of noise is regulated by the polydispersity of the dispersed phase, which gives rise to a random distribution of free-energy barriers within the diphasic system. The idea of an activated escape from freeenergy barriers due to effective noise is not new and it has been vigorously pursued within the so-called SGR (So-Glassy Rheology) model proposed years back by Sollich et al 10,[20][21][22][23] The SGR builds on Bouchaud's trap model, 24 based on the assumption that temperature alone is unable to achieve complete structural relaxation. Hence, an effective temperature is introduced in the system as the relevant source for plastic rearrangements to occur.…”

Section: Introductionmentioning

confidence: 99%

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Internal dynamics and activated processes in soft-glassy materials

et al. 2015

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Benzi, R.; Sbragaglia, M.; Scagliarini, A.; Perlekar, P.; Bernaschi, M.; Succi, S.; Toschi, F. Document VersionPublisher's PDF, also known as Version of Record (includes final page, issue and volume numbers)Please check the document version of this publication:• A submitted manuscript is the author's version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website.• The final author version and the galley proof are versions of the publication after peer review.• The final published version features the final layout of the paper including the volume, issue and page numbers. Link to publication Citation for published version (APA):Benzi, R., Sbragaglia, M., Scagliarini, A., Perlekar, P., Bernaschi, M., Succi, S., & Toschi, F. (2015). Internal dynamics and activated processes in soft-glassy materials. Soft Matter, 11, 1271-1280. DOI: 10.1039/C4SM02341B General rightsCopyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.• Users may download and print one copy of any publication from the public portal for the purpose of private study or research.• You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal ? Take down policyIf you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim. Plastic rearrangements play a crucial role in the characterization of soft-glassy materials, such as emulsions and foams. Based on numerical simulations of soft-glassy systems, we study the dynamics of plastic rearrangements at the hydrodynamic scales where thermal fluctuations can be neglected. Plastic rearrangements require an energy input, which can be either provided by external sources, or made available through time evolution in the coarsening dynamics, in which the total interfacial area decreases as a consequence of the slow evolution of the dispersed phase from smaller to large droplets/bubbles.We first demonstrate that our hydrodynamic model can quantitatively reproduce such coarsening dynamics. Then, considering periodically oscillating strains, we characterize the number of plastic rearrangements as a function of the external energy-supply, and show that they can be regarded as activated processes induced by a suitable "noise" effect. Here we use the word noise in a broad sense, referring to the internal non-equilibrium dynamics triggered by spatial random heterogeneities and coarsening. Finally, by exploring the int...

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Section: Aging and Internal Rearrangementsmentioning

confidence: 99%

Section: Connection With Lb Numerical Simulationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Internal dynamics and activated processes in soft-glassy materials

et al. 2015

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“…A step towards this goal has been taken in recent works [8,11,14], where the rate of plastic events is connected to the "fluidity" field, defined as the ratio between the shear rate and the stress, f =γ σ . By using a kinetic model for the elasto-plastic dynamics of the stress distribution function, the local fluidity is shown to obey (in the steady state) the following equation…”

Section: Connection With Fluidity Modelmentioning

confidence: 99%

Direct evidence of plastic events and dynamic heterogeneities in soft-glasses

et al. 2014

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By using fluid-kinetic simulations of confined and concentrated emulsion droplets, we investigate the nature of space non-homogeneity in soft-glassy dynamics and provide quantitative measurements of the statistical features of plastic events in the proximity of the yield-stress threshold. Above the yield stress, our results show the existence of a finite stress correlation scale, which can be mapped directly onto the cooperativity scale, recently introduced in the literature to capture non-local effects in the soft-glassy dynamics.In this regime, the emergence of a separate boundary (wall) rheology with higher fluidity than the bulk, is highlighted in terms of near-wall spontaneous segregation of plastic events. Near the yield stress, where the cooperative scale cannot be estimated with sufficient accuracy, the system shows a clear increase of the stress correlation scale, whereas plastic events exhibit intermittent clustering in time, with no preferential spatial location. A quantitative measurement of the space-time correlation associated with the motion of the interface of the droplets is key to spot the long-range amorphous order at the yield stress threshold.

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“…Simulation data also show striking similarities with recent experimental results on driven soft-glassy flows in Couette geometries. Future work shall be directed to the quantitative comparison with experimental data and more quantitative analysis in terms of plastic and elastic events [26] from the order parameter snapshots underlying the non-trivial rheology.…”

Section: Discussionmentioning

confidence: 99%

Shear banding from lattice kinetic models with competing interactions

Benzi

Sbragaglia

Bernaschi

et al. 2011

Phil. Trans. R. Soc. A.

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We present numerical simulations based on a Boltzmann kinetic model with competing interactions, aimed at characterizing the rheological properties of soft-glassy materials. The lattice kinetic model is shown to reproduce typical signatures of driven soft-glassy flows in confined geometries, such as Herschel-Bulkley rheology, shear banding and hysteresis. This lends further credit to the present lattice kinetic model as a valuable tool for the theoretical/computational investigation of the rheology of driven soft-glassy materials under confinement.

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Kinetic Theory of Plastic Flow in Soft Glassy Materials

Cited by 332 publications

References 27 publications

Internal dynamics and activated processes in soft-glassy materials

Internal dynamics and activated processes in soft-glassy materials

Direct evidence of plastic events and dynamic heterogeneities in soft-glasses

Shear banding from lattice kinetic models with competing interactions

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