A First-Principles Constitutive Equation for Suspension Rheology (2008)
Brader, J. M., Cates, M. E., Fuchs, M.
Using mode-coupling theory, we derive a constitutive equation for the nonlinear rheology of dense colloidal suspensions under arbitrary time-dependent homogeneous flow. Generalizing previous results...
A First-Principles Constitutive Equation for Suspension Rheology: Supplementary Material (2008)
Brader, J. M., Cates, M. E., Fuchs, M.
Additional supplementary material for the paper `A First-Principles Constitutive Equation for Suspension Rheology'.
Shearing active gels close to the isotropic-nematic transition (2008)
Cates, M. E., Fielding, S. M., Marenduzzo, D., Orlandini, E., Yeomans, J. M.
We study numerically the rheological properties of a slab of active gel close o the isotropic-nematic transition. The flow behavior shows strong dependence on sample size, boundary conditions, and on...
Arrest of Fluid Demixing by Nanoparticles: A Computer Simulation Study (2008)
Kim, E., Stratford, K., Adhikari, R., Cates, M. E.
We use lattice Boltzmann simulations to investigate the formation of arrested structures upon demixing of a binary solvent containing neutrally wetting colloidal particles. Previous simulations for...
Statistical Mechanics of Interacting Run-and-Tumble Bacteria (2008)
We consider self-propelled particles undergoing run-and-tumble dynamics (as exhibited by E. coli) in one dimension. Building on previous analyses at drift-diffusion level for the one-particle...
Marenduzzo, D., Orlandini, E., Cates, M. E., Yeomans, J. M.
We report hybrid lattice Boltzmann (HLB) simulations of the hydrodynamics of an active nematic liquid crystal sandwiched between confining walls with various anchoring conditions. We confirm the...
Binary fluids under steady shear in three dimensions (2007)
Stratford, K., Stansell, P., Cates, M. E.
We simulate by lattice Boltzmann the steady shearing of a binary fluid mixture with full hydrodynamics in three dimensions. Contrary to some theoretical scenarios, a dynamical steady state is...
Singular forces and point-like colloids in lattice Boltzmann hydrodynamics (2007)
Nash, R. W., Adhikari, R., Cates, M. E.
We present a second-order accurate method to include arbitrary distributions of force densities in the lattice Boltzmann formulation of hydrodynamics. Our method may be used to represent singular...
Marenduzzo, D., Orlandini, E., Cates, M. E., Yeomans, J. M.
Active liquid crystals or active gels are soft materials which can be physically realised e.g. by preparing a solution of cytoskeletal filaments interacting with molecular motors. We study the...
We study a schematic mode-coupling model in which the ideal glass transition is cut off by a decay of the quadratic coupling constant in the memory function. (Such a decay, on a time scale tau_I, has...
Ramos, L., Roux, D., Olmsted, P. D., Cates, M. E.
We demonstrate the possibility of a stable equilibrium multi-lamellar (``onion'') phase in pure lamellar systems (no excess solvent) due to a sufficiently negative Gaussian curvature modulus. The...
Rheology of giant micelles (2006)
Giant micelles are elongated, polymer-like objects created by the self-assembly of amphiphilic molecules (such as detergents) in solution. Giant micelles are typically flexible, and can become highly...
Competition between glass transition and liquid-gas separation in attracting colloids (2006)
Puertas, A. M., Fuchs, M., Cates, M. E.
We present simulation results addressing the phenomena of colloidal gelation induced by attractive interactions. The liquid-gas transition is prevented by the glass arrest at high enough attraction...
Dense colloidal suspensions under time-dependent shear (2006)
Brader, J. M., Voigtmann, T., Cates, M. E., Fuchs, M.
We consider the nonlinear rheology of dense colloidal suspensions under a time-dependent simple shear flow. Starting from the Smoluchowski equation for interacting Brownian particles advected by...
Fluid-bicontinuous emulsions stabilized by colloidal particles (2006)
Clegg, P. S., Herzig, E. M., Schofield, A. B., Egelhaaf, S. U., Horozov, T. S., Binks, B. P., ...
Using controlled spinodal decomposition, we have created a fluid-bicontinuous structure stabilized by colloidal particles. We present confocal microscopy studies of these structures and their...
Sensitivity of arrest in mode-coupling glasses to low-q structure (2005)
Greenall, M. J., Voigtmann, Th., Monthoux, P., Cates, M. E.
We quantify, within mode coupling theory, how changes in the liquid structure affect that of the glass. Apart from the known sensitivity to the structure factor $S(q)$ at wavevectors around the first...
Nonequilibrium steady states in sheared binary fluids (2005)
Stansell, P., Stratford, K., Adhikari, R., Cates, M. E.
We simulate by lattice Boltzmann the steady shearing of a binary fluid mixture undergoing phase separation with full hydrodynamics in two dimensions. Contrary to some theoretical scenarios, a...
Do current-density nonlinearities cut off the glass transition? (2005)
Cates, M. E., Ramaswamy, Sriram
Extended mode coupling theories for dense fluids predict that nonlinear current-density couplings cut off the singular `ideal glass transition', present in the standard mode coupling theory where...
A minimal model for chaotic shear banding in shear-thickening fluids (2005)
We present a minimal model for spatiotemporal oscillation and rheochaos in shear-thickening complex fluids at zero Reynolds number. In the model, a tendency towards inhomogeneous flows in the form of...
Colloidal Jamming at Interfaces: a Route to Fluid-bicontinuous Gels (2005)
Stratford, K., Adhikari, R., Pagonabarraga, I., Cates, M. E.
Colloidal particles or nanoparticles, with equal affinity for two fluids, are known to adsorb irreversibly to the fluid-fluid interface. We present large-scale computer simulations of the demixing of...
Rheological Chaos in a Scalar Shear-Thickening Model (2005)
Cates, M. E., Head, D. A., Ajdari, A.
We study a simple scalar constitutive equation for a shear-thickening material at zero Reynolds number, in which the shear stress \\sigma is driven at a constant shear rate \\dot\\gamma and relaxes...
Rheological instability in a simple shear thickening model (2005)
Head, D. A., Ajdari, A., Cates, M. E.
We study the strain response to steady imposed stress in a spatially homogeneous, scalar model for shear thickening, in which the local rate of yielding \\Gamma(l) of mesoscopic `elastic elements\'...
Jamming, hysteresis and oscillation in scalar models for shear thickening (2005)
Head, D. A., Ajdari, A., Cates, M. E.
We investigate shear thickening and jamming within the framework of a family of spatially homogeneous, scalar rheological models. These are based on the `soft glassy rheology\' model of Sollich et...
Colloid-stabilized emulsions: behaviour as the interfacial tension is reduced (2005)
Clegg, P. S., Herzig, E. M., Schofield, A. B., Horozov, T. S., Binks, B. P., Cates, M. E., ...
We present confocal microscopy studies of novel particle-stabilized emulsions. The novelty arises because the immiscible fluids have an accessible upper critical solution temperature. The emulsions...
We explore theoretically the modifications to the interactions between charged surfaces across an ionic solution caused by the presence of dielectric polymers. Although the chains are neutral, the...
Soft Condensed Matter (Materia Condensata Soffice) (2004)
This article was written for a multi-volume History of Science, and published in Italian translation: Storia della Scienza, Volume IX, La Grande Scienza, pp 645-656 (published by Istituto della...
Dilatancy, Jamming, and the Physics of Granulation (2004)
Cates, M. E., Haw, M. D., Holmes, C. B.
Granulation is a process whereby a dense colloidal suspension is converted into pasty granules (surrounded by air) by application of shear. Central to the stability of the granules is the capillary...
Cates, M. E., Stansell, P., Wagner, A. J., Stratford, K., Adhikari, R., ...
We describe some scaling issues that arise when using lattice Boltzmann methods to simulate binary fluid mixtures -- both in the presence and in the absence of colloidal particles. Two types of...
Solvable senescence model with positive mutations (2004)
Coe, J. B., Mao, Y., Cates, M. E.
We build upon our previous analytical results for the Penna model of senescence to include positive mutations. We investigate whether a small but non-zero positive mutation rate gives qualitatively...
Instability and spatiotemporal rheochaos in a shear-thickening fluid model (2004)
We model a shear-thickening fluid that combines a tendency to form inhomogeneous, shear-banded flows with a slow relaxational dynamics for fluid microstructure. The interplay between these factors...
Ramos, L., Roux, D., Olmsted, P. D., Cates, M. E.
We demonstrate the possibility of a stable equilibrium multi-lamellar (``onion'') phase in pure lamellar systems (no excess solvent) due to a sufficiently negative Gaussian curvature modulus. The...
Glass transitions and shear thickening suspension rheology (2004)
Holmes, C B, Cates, M E, Fuchs, M, Sollich, P
We introduce a class of simple models for shear thickening and/ or `jamming' in colloidal suspensions. These are based on schematic mode coupling theory (MCT) of the glass transition, having a memory...
Ramos, L., Roux, D., Olmsted, P.D., Cates, M.E.
We demonstrate the possibility of a stable equilibrium multi-lamellar ("onion") phase in pure lamellar systems (no excess solvent) due to a sufficiently negative Gaussian curvature modulus. The onion...
Ramos, L., Roux, D., Olmsted, P.D., Cates, M.E.
We demonstrate the possibility of a stable equilibrium multi-lamellar ("onion") phase in pure lamellar systems (no excess solvent) due to a sufficiently negative Gaussian curvature modulus. The onion...
Ramos, L., Roux, D., Olmsted, P.D., Cates, M.E.
We demonstrate the possibility of a stable equilibrium multi-lamellar ("onion") phase in pure lamellar systems (no excess solvent) due to a sufficiently negative Gaussian curvature modulus. The onion...
Simulating Colloid Hydrodynamics with Lattice Boltzmann (2004)
Cates, M. E., Stratford, K., Adhikari, R., Stansell, P., Pagonabarraga, I., ...
We present a progress report on our work on lattice Boltzmann methods for colloidal suspensions. We focus on the treatment of colloidal particles in binary solvents and on the inclusion of thermal...
Theory and simulation of gelation, arrest and yielding in attracting colloids (2004)
Cates, M. E., Fuchs, M., Kroy, K., Poon, W. C. K., Puertas, A. M.
We present some recent theory and simulation results addressing the phenomena of colloidal gelation at both high and low volume fractions, in the presence of short-range attractive interactions. We...
Fluctuating lattice Boltzmann (2004)
Adhikari, R., Cates, M. E., Stratford, K., Wagner, A. J.
The lattice Boltzmann algorithm efficiently simulates the Navier Stokes equation of isothermal fluid flow, but ignores thermal fluctuations of the fluid, important in mesoscopic flows. We show how to...
The origin of network formation in colloid-liquid crystal composites (2004)
Vollmer,Doris, Hinze,G., Poon,W. C. K., Cleaver,J., Cates,M. E.
The origin of network formation in colloid-liquid crystal composites (2004)
Vollmer, Doris, Hinze, G., Poon, W. C. K., Cleaver, J., Cates, M. E.
Flow instabilities in complex fluids: Nonlinear rheology and slow relaxations (2003)
We here present two simplified models aimed at describing the long-term, irregular behaviours observed in the rheological response of certain complex fluids, such as periodic oscillations or...
Schematic mode coupling theories for shear thinning, shear thickening, and jamming (2003)
Cates, M. E., Holmes, C. B., Fuchs, M., Henrich, O.
Mode coupling theory (MCT) appears to explain several, though not all, aspects of the glass transition in colloids (particularly when short-range attractions are present). Developments of MCT, from...
A cluster mode-coupling approach to weak gelation in attractive colloids (2003)
Kroy, K., Cates, M. E., Poon, W. C. K.
Mode-coupling theory (MCT) predicts arrest of colloids in terms of their volume fraction, and the range and depth of the interparticle attraction. We discuss how effective values of these parameters...
In recent years, the paradigm of `soft glassy matter' has been used to describe diverse nonergodic materials exhibiting strong local disorder and slow mesoscopic rearrangement. As so far formulated,...
A possible new phase of antagonistic nematogens in a disorienting field (2003)
Sokolovska, T. G., Cates, M. E., Sokolovskii, R. O.
A simple model is proposed for nematogenic molecules that favor perpendicular orientations as well as parallel ones. (Charged rods, for example, show this antagonistic tendency.) When a small...
Model fluid in a porous medium: results for a Bethe lattice (2003)
Sokolovskii, R. O., Cates, M. E., Sokolovska, T. G.
We consider a lattice gas with quenched impurities or `quenched-annealed binary mixture' on the Bethe lattice. The quenched part represents a porous matrix in which the (annealed) lattice gas...
Phase separation in binary fluid mixtures with continuously ramped temperature (2003)
Cates,M. E., Vollmer,J., Wagner,A., Vollmer,D.
We consider the demixing of a binary fluid mixture, under gravity, which is steadily driven into a two-phase region by slowly ramping the temperature. We assume, as a first approximation, that the...
Phase Separation in Binary Fluid Mixtures with Continuously Ramped Temperature (2003)
Cates, M. E., Vollmer, J., Wagner, A., Vollmer, D.
We consider the demixing of a binary fluid mixture, under gravity, which is steadily driven into a two phase region by slowly ramping the temperature. We assume, as a first approximation, that the...
Phase separation in binary fluid mixtures with continuously ramped temperature (2003)
Cates, M. E., Vollmer, J., Wagner, A., Vollmer, D.
We consider the demixing of a binary fluid mixture, under gravity, which is steadily driven into a two-phase region by slowly ramping the temperature. We assume, as a first approximation, that the...
Role of inertia in two-dimensional deformation and breakup of a droplet (2002)
Wagner, A. J., Wilson, L. M., Cates, M. E.
We investigate by Lattice Boltzmann methods the effect of inertia on the deformation and break-up of a two-dimensional fluid droplet surrounded by fluid of equal viscosity (in a confined geometry)...
Arrest and flow of colloidal glasses (2002)
I review recent progress in understanding the arrest and flow behaviour of colloidal glasses, based on mode coupling theory (MCT) and related approaches. MCT has had notable recent successes in...
Landau Expansion for the Critical Point of a Polydisperse System (2002)
The effect of polydispersity on the phase diagram of a simple binary mixture is to split the binodal curve into cloud and shadow curves that cross at the critical point (which, in general, is not at...
Jamming transitions in a schematic model of suspension rheology (2002)
Holmes, C. B., Fuchs, M., Cates, M. E.
We study the steady-state response to applied stress in a simple scalar model of sheared colloids. Our model is based on a schematic (F2) model of the glass transition, with a memory term that...
A solvable senescence model showing a mortality plateau (2002)
Coe, J. B., Mao, Y., Cates, M. E.
We present some analytic results for the steady states of the Penna model of sen escence, generalised to allow genetically identical individuals to die at differ ent ages via an arbitrary survival...
Dynamics of Polydisperse Polymer Mixtures (2002)
Pagonabarraga, I., Cates, M. E.
We develop a general analysis of the diffusive dynamics of polydisperse polymers in the presence of chemical potential gradients, within the context of the tube model (with all species entangled). We...
Rheological Chaos in a Scalar Shear-Thickening Model (2002)
Cates, M. E., Head, D. A., Ajdari, A.
We study a simple scalar constitutive equation for a shear-thickening material at zero Reynolds number, in which the shear stress \sigma is driven at a constant shear rate \dot\gamma and relaxes by...
Rheological Chaos in a Scalar Shear-Thickening Model (2002)
Cates, M. E., Head, D. A., Ajdari, A.
We study a simple scalar constitutive equation for a shear-thickening material at zero Reynolds number, in which the shear stress \\sigma is driven at a constant shear rate \\dot\\gamma and relaxes...
Rheological Chaos in a Scalar Shear-Thickening Model (2002)
Cates, M. E., Head, D. A., Ajdari, A.
We study a simple scalar constitutive equation for a shear-thickening material at zero Reynolds number, in which the shear stress \\sigma is driven at a constant shear rate \\dot\\gamma and relaxes...
Jamming, hysteresis and oscillation in scalar models for shear thickening (2001)
Head, D. A., Ajdari, A., Cates, M. E.
We investigate shear thickening and jamming within the framework of a family of spatially homogeneous, scalar rheological models. These are based on the `soft glassy rheology' model of Sollich et al....
Rheological instability in a simple shear thickening model (2001)
Head, D. A., Ajdari, A., Cates, M. E.
We study the strain response to steady imposed stress in a spatially homogeneous, scalar model for shear thickening, in which the local rate of yielding \Gamma(l) of mesoscopic `elastic elements' is...
Kendon, V.M.*, Cates, M.E., Pagonabarraga, I., Desplat, J.C., Bladon, P.
The late-stage demixing following spinodal decomposition of a three-dimensional symmetric binary fluid mixture is studied numerically, using a thermodynamically consistent lattice Boltzmann method....
Ring-Driven Shear Thickening in Wormlike Micelles? (2001)
The shear-thickening behaviour of wormlike micelles, at concentrations just below overlap, remains unexplained. In some cases it has recently been confirmed that very slow relaxations must be present...
A practical density functional for polydisperse polymers (2001)
Pagonabarraga, I., Cates, M. E.
The Flory Huggins equation of state for monodisperse polymers can be turned into a density functional by adding a square gradient term, with a coefficient fixed by appeal to RPA (random phase...
Binary fluid demixing: The crossover region (2001)
Pagonabarraga, Ignacio, Wagner, Alexander J., Cates, M. E.
By performing lattice Boltzmann simulations of a binary mixture, we scrutinize the dynamical scaling hypothesis for the spinodal decomposition of binary mixtures for the crossover region, i.e. the...
Osmotic Stabilisation of Concentrated Emulsions and Foams (2001)
In the absence of coalescence, coarsening of emulsions (and foams) is controlled by molecular diffusion of dispersed phase between droplets/bubbles. Studies of dilute emulsions have shown how the...
Phase ordering of two-dimensional symmetric binary fluids: a droplet scaling state (2001)
Wagner, Alexander J., Cates, M. E.
The late-stage phase ordering, in $d=2$ dimensions, of symmetric fluid mixtures violates dynamical scaling. We show however that, even at 50/50 volume fractions, if an asymmetric droplet morphology...
Rheological instability in a simple shear thickening model (2001)
Head, D. A., Ajdari, A., Cates, M. E.
We study the strain response to steady imposed stress in a spatially homogeneous, scalar model for shear thickening, in which the local rate of yielding \\Gamma(l) of mesoscopic `elastic elements\'...
Jamming, hysteresis and oscillation in scalar models for shear thickening (2001)
Head, D. A., Ajdari, A., Cates, M. E.
We investigate shear thickening and jamming within the framework of a family of spatially homogeneous, scalar rheological models. These are based on the `soft glassy rheology\' model of Sollich et...
Rheological instability in a simple shear thickening model (2001)
Head, D. A., Ajdari, A., Cates, M. E.
We study the strain response to steady imposed stress in a spatially homogeneous, scalar model for shear thickening, in which the local rate of yielding \\Gamma(l) of mesoscopic `elastic elements\'...
Jamming, hysteresis and oscillation in scalar models for shear thickening (2001)
Head, D. A., Ajdari, A., Cates, M. E.
We investigate shear thickening and jamming within the framework of a family of spatially homogeneous, scalar rheological models. These are based on the `soft glassy rheology\' model of Sollich et...
Kinetic pathways of multi-phase surfactant systems (2000)
Buchanan, M., Starrs, L., Egelhaaf, S. U., Cates, M. E.
The relaxation following a temperature quench of two-phase (lamellar and sponge phase) and three-phase (lamellar, sponge and micellar phase) samples, has been studied in an SDS/octanol/brine system....
Swelling and Dissolution of onion phases: The effect of temperature (2000)
Buchanan, M., Egelhaaf, S. U., Cates, M. E.
Contact experiments have been performed between an onion lamellar phase and brine, in the SDS/octanol/brine system. Using video microscopy we have studied the nonequilibrium behaviour of the swelling...
Swelling kinetics of the onion phase (2000)
A theory is presented for the behavior of an array of multi-lamellar vesicles (the onion phase) upon addition of solvent. A unique feature of this system is the possibility to sustain pressure...
Kendon, V. M., Cates, M. E., Desplat, J-C., Pagonabarraga, I., Bladon, P.
The late-stage demixing following spinodal decomposition of a three-dimensional symmetric binary fluid mixture is studied numerically, using a thermodynamicaly consistent lattice Boltzmann method. We...
Ageing and Rheology in Soft Materials (1999)
S. M. Fielding, P. Sollich, M. E. Cates
We study theoretically the role of ageing in the rheology of soft materials.
Topological effects in ring polymers (II): Influence of persistence length (1999)
Muller, M., Wittmer, J. P., Cates, M. E.
The interplay of topological constraints and persistence length of ring polymers in their own melt is investigated by means of dynamical Monte Carlo simulations of a three dimensional lattice model....