Experiments, theory, and simulation were used to study glass formation in a simple model system composed of hard spheres with short-range attraction (“sticky spheres”). The experiments, using well-characterized colloids, revealed reentrant transition line. Mode-coupling theory calculations molecular dynamics simulations suggest that the reentrance is due existence two qualitatively different glassy states: one dominated by repulsion (with structural arrest caging) other bonding). This...

We study amorphous solids with strong elastic disorder and find an unjamming instability that exists, in a harmonic model built using Euclidean random matrices (ERMs). Employing the Zwanzig-Mori projection operator formalism Gaussian factorization approximations, we develop first-principles, self-consistent theory of transverse momentum correlations athermal disordered materials, extending beyond standard Born approximation. The vibrational anomalies glass at low temperatures are recovered...

The transition from a liquid to glass in colloidal suspensions of particles interacting through hard core plus an attractive square-well potential is studied within the mode-coupling-theory framework. When width much shorter than hard-core diameter, reentrant behavior liquid-glass line and glass-glass-transition are found temperature-density plane model. For small well-width values, terminates third-order bifurcation point, i.e., A3 (cusp) singularity. On increasing width, glass-glass...

Colloidal gel and glass transitions are investigated using the idealized mode coupling theory (MCT) for model systems characterized by short-range attractive interactions. Results presented adhesive hard sphere core Yukawa systems. According to MCT, former system shows a critical transition concentration that increases significantly with introduction of weak attraction. For latter system, MCT predicts low temperature nonergodic states extend subcritical region. Several features nonergodicity...

A first principles approach to the nonlinear flow of dense suspensions is presented which captures shear thinning colloidal fluids and dynamical yielding glasses. The advection density fluctuations plays a central role, suppressing caging particles speeding up structural relaxation. mode coupling developed explore these effects.

Within the mode-coupling theory (MCT) for dynamics of simple liquids, leading corrections to asymptotic solutions relaxation in vicinity an ideal glass transition are derived. The formulas used determine range validity scaling-law description MCT results \ensuremath{\alpha} and \ensuremath{\mathrm{B}} processes glass-forming systems. Solutions equations motion calculated a hard-sphere colloidal suspension model compared with derived analytical results. leading-order shown describe major...

Using computer simulations, we identify the mechanisms causing aggregation and structural arrest of colloidal suspensions interacting with a short-ranged attraction at moderate high densities. Two different nonergodicity transitions are observed. As density is increased, glass transition takes place, driven by excluded volume effects. In contrast, densities, gelation approached as strength increases. At interaction strength, both merge, logarithmic decay in correlation function All these...

Mode coupling theory (MCT) is used to model gel formation in mixtures of colloidal particles and nonadsorbing polymer. The polymer induces an effective, short-range attraction among the colloids, which modeled by a depletion Asakura−Oosawa form. This enables MCT be solved analytically for dilute systems, leading prediction, free adjustable parameters, location boundary phase diagram. For concentrated simple mapping suggested that makes previous Yukawa interactions applicable colloid−polymer...

The mode coupling theory (MCT) of glasses, while offering an incomplete description glass transition physics, represents the only established route to first-principles prediction rheological behavior in nonergodic materials such as colloidal glasses. However, constitutive equations derivable from MCT are somewhat intractable, hindering their practical use and also interpretation. Here, we present a schematic (single-mode) model which incorporates tensorial structure full theory. Using it,...

We investigate the structural, dynamical, and viscoelastic properties of colloid-polymer mixtures at intermediate colloid volume fraction varying polymer concentrations, thereby tuning attractive interactions. Within examined range samples varied from fluids to gels. In liquid phase, an increasing correlation length density fluctuations when approaching gelation boundary was observed by static light scattering microscopy, indicating clustering formation space-spanning networks....

The history dependence of glasses formed from flow-melted steady states by a sudden cessation the shear rate γ[over ˙] is studied in colloidal suspensions, molecular dynamics simulations and mode-coupling theory. In an ideal glass, stresses relax only partially, leaving behind finite persistent residual stress. For intermediate times, relaxation curves scale as function ˙]t, even though no flow present. macroscopic stress evolution connected to length liquefaction displayed microscopic...

Significance Using tailor-made colloids and confocal microscopy, we study the effect of shape on glass transition in 3D suspensions ellipsoidal colloids. Experimental data, supporting simulations, a theoretical analysis reveal unique state: liquid glass. In glasses, orientational degrees freedom are frozen whereas translation is free. Global nematic order absent. We show that, state, precursors as hitherto unknown structures exist. these, suppressed by intersection clusters ordered particles...

Within the mode-coupling theory for structural relaxation in simple systems asymptotic laws and their leading-asymptotic correction formulas are derived motion of a tagged particle near glass-transition singularity. These analytic results compared with numerical ones equations evaluated hard sphere moving hard-sphere system. It is found that long-time part two-step process mean-squared displacement can be characterized by $\alpha $-relaxation-scaling law von Schweidler's power-law decay...

The phase behavior of model athermal silica (radius R=50 nm)–polystyrene–toluene suspensions has been determined over nearly two orders magnitude in polymer or colloid size asymmetry. Fluid–gel, fluid–crystal, and fluid–fluid transitions are observed as Rg, the radius gyration, increases. Based on concentration relative to dilute–semidilute crossover density, cp/cp*, relevant measure depletion attraction, we find that suspension miscibility monotonically improves Rg increases for all volume...

We discuss structural correlations in mixtures of free polymer and colloidal particles on the basis a microscopic, two-component liquid-state integral equation theory. Whereas case polymers much smaller than spherical relevant degree freedom is centre mass, for larger (nano-) particles, conformational rearrangements need to be considered. They have important consequence that depletion layer exhibits two widely different length scales, one order particle radius, other radius or...

The \ensuremath{\alpha}-relaxation dynamics in a hard-sphere system is studied solving microscopic-mode-coupling equations. solutions for coherent and incoherent dynamical structure factors, the transversal correlation functions, moduli are presented all wave vectors. wave-vector dependence of fitted Kohlrausch exponents \ensuremath{\beta} relaxation times \ensuremath{\tau} discussed. Recent experiments on \ensuremath{\alpha} colloidal systems quantitatively analyzed.

The change of the structure concentrated colloidal suspensions upon addition non-adsorbing polymer is studied within a two-component, Ornstein-Zernicke-based liquid state approach.The polymers' conformational degrees freedom are considered and excluded volume enforced at segment level.The correlation hole, depletion layer, excess chemical potentials described in agreement with physics theory contrast to models treating macromolecules as effective spheres.Known attraction effects recovered...

Recently reported light-scattering studies of ${\mathrm{CaKNO}}_{3}$ and Salol are reanalyzed, using the extended version mode-coupling theory liquid-glass transition including activated transport or hopping effects. Problems found in original fits due to neglect terms largely corrected, quantitative predictions for susceptibility minimum below crossover temperature ${\mathit{T}}_{\mathit{c}}$ found. The results also shown accurately explain neutron spin-echo data by Mezei [J. Non-Cryst....

Views Icon Article contents Figures & tables Video Audio Supplementary Data Peer Review Share Twitter Facebook Reddit LinkedIn Tools Reprints and Permissions Cite Search Site Citation Miriam Siebenbürger, Matthias Fuchs, Henning Winter, Ballauff; Viscoelasticity shear flow of concentrated, noncrystallizing colloidal suspensions: Comparison with mode-coupling theory. Journal Rheology 1 May 2009; 53 (3): 707–726. https://doi.org/10.1122/1.3093088 Download citation file: Ris (Zotero) Reference...

A microscopic approach is presented for calculating general properties of interacting Brownian particles under steady shearing. We start from exact expressions shear-dependent steady-state averages, such as correlation and structure functions, in the form generalized Green–Kubo relations. To these we apply approximations inspired by mode coupling theory (MCT) quiescent system, accessing integration through transient dynamics after startup shear. Exact equations motion, with memory effects,...

The alpha -peak master functions as obtained within the mode coupling theory for supercooled liquid dynamics near glass transition singularity are discussed. Double peak phenomena found a generic feature of related to self crossing hypersurface. They lead two scenarios transitions characterized by '- pairs and -resonances accompanied gamma -peaks. An efficient numerical procedure is developed solution nonlinear scaling equations functions. A schematic three component model used fit...

Depolarized light-scattering spectra of propylene carbonate were obtained in the frequency range 0.2 GHz--4 THz at temperatures from 350 to 135 K. Analysis resulting susceptibility revealed reasonable agreement with predictions idealized mode coupling theory, yielding critical exponents a=0.29, b=0.50, and an exponent parameter \ensuremath{\lambda}=0.78\ifmmode\pm\else\textpm\fi{}0.05. A scaling analysis demonstrated slowing down frequencies both above below ${\mathit{T}}_{\mathit{C}}$,...