Viscoelasticity and shear flow of concentrated, noncrystallizing colloidal suspensions: Comparison with mode-coupling theory

Siebenbürger, Miriam; Fuchs, Matthias; Winter, H. Henning; Ballauff, Matthias

doi:10.1122/1.3093088

Cited by 130 publications

(209 citation statements)

References 41 publications

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“…Most definitively, the frequency dependent loss modulus, G ′′ (ω), exhibits a broad peak that has a maximum near the viscous relaxation rate and extends over two or more decades of higher frequencies. This behavior has been seen in structural and metallic glasses [1][2][3], and also in soft glassy materials such as colloidal suspensions [4][5][6][7][8][9][10][11]. Additional evidence for a broad relaxation spectrum emerges from strain recovery experiments, in which materials are unloaded abruptly after shear deformation [8,12,13].…”

Section: Introductionmentioning

confidence: 84%

“…In Fig.2, we show three examples of how the STZ theory developed here is capable of reproducing the experimental results of Siebenburger et al [9]. These authors explored a range of effective volume fractions φ eff and a wide range of frequencies ω (as well as steady shear rates not discussed here) by using suspensions of thermosensitive particles (polystyrene cores with attached networks of thermosensitive isopropylacrylamide molecules).…”

Section: Colloidal Suspensionsmentioning

confidence: 98%

“…′ (ω) (red) and the loss modulus G ′′ (ω) (blue), for three different suspensions of thermosensitive particles, as reported in [9]. The values of the parameters are listed in the text.…”

Section: Fig 2 (Color Online) Experimental Data and Theoretical Commentioning

confidence: 99%

“…In Sec. III we provide a more detailed analysis and additional support for the results announced in [14], where the frequency dependent modulus G(ω) was calculated and compared to the data of [2,9], who performed oscillatory experiments on a wide variety of both hard structural glasses and soft colloidal suspensions.…”

Section: Introductionmentioning

confidence: 99%

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Shear-transformation-zone theory of linear glassy dynamics

Bouchbinder

Langer²

2011

Phys. Rev. E

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We present a linearized shear-transformation-zone (STZ) theory of glassy dynamics in which the internal STZ transition rates are characterized by a broad distribution of activation barriers. For slowly aging or fully aged systems, the main features of the barrier-height distribution are determined by the effective temperature and other near-equilibrium properties of the configurational degrees of freedom. Our theory accounts for the wide range of relaxation rates observed in both structural glasses and soft glassy materials such as colloidal suspensions. We find that the frequency dependent loss modulus is not just a superposition of Maxwell modes. Rather, it exhibits an α peak that rises near the viscous relaxation rate and, for nearly jammed, glassy systems, extends to much higher frequencies in accord with experimental observations. We also use this theory to compute strain recovery following a period of large, persistent deformation and then abrupt unloading. We find that strain recovery is determined in part by the initial barrier-height distribution, but that true structural aging also occurs during this process and determines the system's response to subsequent perturbations. In particular, we find by comparison with experimental data that the initial deformation produces a highly disordered state with a large population of low activation barriers, and that this state relaxes quickly toward one in which the distribution is dominated by the high barriers predicted by the near-equilibrium analysis. The nonequilibrium dynamics of the barrier-height distribution is the most important of the issues raised and left unresolved in this paper.

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Section: Introductionmentioning

confidence: 84%

Section: Colloidal Suspensionsmentioning

confidence: 98%

Section: Fig 2 (Color Online) Experimental Data and Theoretical Commentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Shear-transformation-zone theory of linear glassy dynamics

Bouchbinder

Langer²

2011

Phys. Rev. E

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“…With a number of other models of the glass transition, such as mode-coupling theories, there is also an issue when they rely on liquid-state theory for relating the stress tensor to local fluctuations in the solid state. These theories predict that the shear modulus G of athermal hard-sphere colloids remains finite at the glass transition [16] and that it jumps discontinuously to zero upon decreasing the packing fraction φ. This scenario does not agree, however, with thermal systems, where both simulations [17] and experiments [18] show that the vanishing of G is continuous with T .…”

mentioning

confidence: 99%

Disorder-Assisted Melting and the Glass Transition in Amorphous Solids

2013

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The mechanical response of solids depends on temperature because the way atoms and molecules respond collectively to deformation is affected at various levels by thermal motion. This is a fundamental problem of solid state science and plays a crucial role in metallurgy, aerospace engineering, energy. In glasses the vanishing of rigidity upon increasing temperature is the reverse process of the glass transition. It remains poorly understood due to the disorder leading to nontrivial (nonaffine) components in the atomic displacements. Our theory explains the basic mechanism of the melting transition of amorphous (disordered) solids in terms of the lattice energy lost to this nonaffine motion, compared to which thermal vibrations turn out to play only a negligible role. It predicts the square-root vanishing of the shear modulus G ∼ √ Tc − T at criticality observed in the most recent numerical simulation study. The theory is also in good agreement with classic data on melting of amorphous polymers (for which no alternative theory can be found in the literature) and offers new opportunities in materials science.PACS numbers: 81.05. Lg, 64.70.pj, 61.43.Fs The phenomenon of the transition of a supercooled liquid into an amorphous solid has been studied extensively and many theories have been proposed in the past, starting with the Gibbs-DiMarzio theory [1]. All these theories focus on the fluid to solid aspect, coming to this glass transition from the liquid side (supercooling). However, it is only one facet of the problem. For the reverse process, i.e. the melting of the amorphous solid into a liquid, no established theories are available.The problem of describing the melting transition into a fluid state [2-9] is complicated in amorphous solids by the difficulties inherent in describing the elasticity down to the atomistic level (where the thermal fluctuations take place). It is well known that the standard (Born-Huang) lattice-dynamic theory of elastic constants, and also its later developments [10], breaks down on the microscopic scale. The reason is that its basic assumption, that the macroscopic deformation is affine and thus can be downscaled to the atomistic level, does not hold [11]. Atomic displacements in amorphous solids are in fact strongly nonaffine [11][12][13][14], a phenomenon illustrated in Fig. 1. Nonaffinity is caused by the lattice disorder: the forces transmitted to every atom by its bonded neighbors upon deformation do not balance, and the resulting non-zero force can only be equilibrated by an additional nonaffine displacement, which adds to the affine motion dictated by the macroscopic strain.Recently, it has been shown [15] that nonaffinity could play a role in the melting of model amorphous solids, although the basic interplay between nonaffinity, thermal expansion, and thermal vibrations remains unclear. With a number of other models of the glass transition, such as mode-coupling theories, there is also an issue when they rely on liquid-state theory for relating the stress tensor to local ...

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Oscillatory rheology measurements of particle‐ and bubble‐bearing fluids: Solid‐like behavior of a crystal‐rich basaltic magma

Namiki

Tanaka

2017

Geophysical Research Letters

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The rheology of crystal‐ and bubble‐bearing magmas governs the propagation of seismic waves as well as eruption dynamics. Here “rheology” includes viscous and elastic components and their ratio known as attenuation. We perform an oscillatory rheology measurements, which provide storage (elastic component) and loss (viscous component) moduli, and attenuation, with frequency dependence, using particle‐ and bubble‐bearing fluids whose liquid viscosity is in the range of that of a basaltic melt. We find that both the storage and loss moduli dramatically increase with the particle fraction but weakly depend on the bubble fraction. Solid‐like behavior, equivalent to attenuation < 1, appears in the high particle fraction regime ϕp>40 vol %. The shallow conduit of Stromboli volcano, filled by a crystal‐rich and low viscosity basaltic magma, may be an example, where shear waves propagate and brittle fractures occur to cause explosive eruptions because of its high crystallinity.

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Viscoelasticity and shear flow of concentrated, noncrystallizing colloidal suspensions: Comparison with mode-coupling theory

Cited by 130 publications

References 41 publications

Shear-transformation-zone theory of linear glassy dynamics

Shear-transformation-zone theory of linear glassy dynamics

Disorder-Assisted Melting and the Glass Transition in Amorphous Solids

Oscillatory rheology measurements of particle‐ and bubble‐bearing fluids: Solid‐like behavior of a crystal‐rich basaltic magma

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