Polymer-induced phase separations in nonaqueous colloidal suspensions

Gast, Alice P.; Hall, Carol K.; Russel, William B.

doi:10.1016/0021-9797(83)90027-9

Cited by 629 publications

(591 citation statements)

References 22 publications

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“…Applying this theory to monodisperse short-range fluids, Gast, Hall, and Russel were able to describe the phase diagram of colloidal particles interacting by depletion interactions. 71 More recently, thermodynamic perturbation theory was used to understand the interplay between phase coexistence and the glass line. 38 If the perturbative approach is known to give quantitatively imprecise results near phase boundaries and near criticality, the method can be, in principle, applied to very general mixtures for which the convergence of integral-equation-based methods is still out of reach.…”

Section: Stability Of Binary Mixtures From Perturbation Theorymentioning

confidence: 99%

Colloidal Characterization and Thermodynamic Stability of Binary Eye Lens Protein Mixtures

et al. 2008

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We present a study of binary mixtures of eye lens crystallin proteins. A coarse-grained model of aqueous Rand γ-crystallin mixtures based on molecular dynamics simulations and SANS experiments is proposed. Thermodynamic perturbation theory is implemented to obtain the stability boundaries, or spinodal surface, of the binary mixture in the full parameter space. The stability of these high-concentration crystallin mixtures was found to depend on the R-γ attraction in a manner that is both extremely sensitive and nonmonotonic; stronger or weaker attraction resulted in a spectacularly enhanced instability. The relevance of these mechanisms as possible sources of the alteration of the spatial distribution of the lens proteins encountered in cataract disease is discussed.

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Section: Stability Of Binary Mixtures From Perturbation Theorymentioning

confidence: 99%

Colloidal Characterization and Thermodynamic Stability of Binary Eye Lens Protein Mixtures

et al. 2008

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“…Note that the remaining term 3 , equation (31), gives an additional contribution if q = 1. Following the discussion of two-dimensional crossover in HS mixtures [35] we expect this contribution to be negligible.…”

Section: One-dimensional Limitmentioning

confidence: 99%

“…Phase behaviour in the AO model is a well studied problem [2][3][4][5]. It is striking that this simple model gives rise to stable, entropically driven fluid-fluid phase separation for sufficiently large size ratios q.…”

Section: Fluid-fluid Demixingmentioning

confidence: 99%

“…When q, the size ratio of the radius of the polymer sphere to that of the colloid sphere, is sufficiently large, the mixture separates into colloid-rich (liquid) and colloid-poor (gas) phases. The earliest detailed theoretical treatment of the model was that by Gast et al [3] based on liquid state perturbation theory for the (approximate) one-component version where colloids are assumed to interact via the AO pair potential. An alternative approach was introduced by Lekkerkerker et al [4] based on a free-volume theory for the free energy of the mixture-see section 3.1.…”

Section: Introductionmentioning

confidence: 99%

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Density functional theory for a model colloid polymer mixture: bulk fluid phases

Schmidt

Löwen

Brader

et al. 2002

J. Phys.: Condens. Matter

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We describe a density functional theory for mixtures of hard sphere (HS) colloids and ideal polymers, the Asakura-Oosawa model. The geometrybased fundamental measures approach which is used to construct the functional ensures the correct behaviour in the limit of low density of both species and in the zero-dimensional limit of a cavity which can contain at most one HS. Dimensional crossover is discussed in detail. Emphasis is placed on the properties of homogeneous (bulk) fluid phases. We show that the present functional yields the same free energy and, therefore, the same fluid-fluid demixing transition as that given by a different approach, namely the freevolume theory. The pair direct correlation functions c (2) i j (r ) of the bulk mixture are given analytically. We investigate the partial structure factors S i j (k) and the asymptotic decay, r → ∞, of the total pair correlation functions h i j (r ) obtained from the Ornstein-Zernike route. The locus in the phase diagram of the crossover from monotonic to oscillatory decay of correlations is calculated for several size ratios q = R p /R c , where R p is the radius of the polymer sphere and R c that of the colloid. We determine the (mean-field) behaviour of the partial structure factors on approaching the fluid-fluid critical (consolute) point.

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“…Now we want to quantify this more precisely through first order perturbation theory [41]. Taking the HS as reference system we can write the Helmholtz free energy per particle, a = A/N , as follows…”

Section: Perturbation Theory For the Ssao Modelmentioning

confidence: 99%

The Square-Shoulder-Asakura–Oosawa model

Fantoni

2016

Physica A: Statistical Mechanics and its Applications

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A new model for a colloidal size-asymmetric binary mixture is proposed: The Square-ShoulderAsakura-Oosawa. This belongs to the larger class of non-additive hard-spheres models and has the property that its effective pair formulation is exact whenever the solvent particle fits inside the interstitial region of three touching solute particles. Therefore one can study its properties from the equivalent one-component effective problem. Some remarks on the phase diagram of this new model are also addressed.

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Polymer-induced phase separations in nonaqueous colloidal suspensions

Cited by 629 publications

References 22 publications

Colloidal Characterization and Thermodynamic Stability of Binary Eye Lens Protein Mixtures

Colloidal Characterization and Thermodynamic Stability of Binary Eye Lens Protein Mixtures

Density functional theory for a model colloid polymer mixture: bulk fluid phases

The Square-Shoulder-Asakura–Oosawa model

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