Phase diagram of the adhesive hard sphere fluid

Miller, Mark A.; Frenkel, Daan

doi:10.1063/1.1758693

Cited by 143 publications

(191 citation statements)

References 39 publications

(65 reference statements)

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“…It leads to different equilibrium states depending on the volume fraction (φ) of the particles and the strength of the interaction energy (u). Weak attraction results in the formation of transient aggregates at low φ and a transient percolating network at high φ, while strong attraction may drive phase separation into a high and a low density liquid [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31]. The strength of the interaction and thus the equilibrium properties are determined by the ratio of the bond formation (α) and the bond breaking (β) probability [32,33,34,35,36,37,38,39,40,41,42,43,44,45], while the kinetics of such systems depend on the absolute values of α and β.…”

Section: Introductionmentioning

confidence: 99%

Self-diffusion of reversibly aggregating spheres

Babu

Gimel

Nicolai

2007

The Journal of Chemical Physics

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Reversible diffusion limited cluster aggregation of hard spheres with rigid bonds was simulated and the self diffusion coefficient was determined for equilibrated systems. The effect of increasing attraction strength was determined for systems at different volume fractions and different interaction ranges. It was found that the slowing down of the diffusion coefficient due to crowding is decoupled from that due to cluster formation. The diffusion coefficient could be calculated from the cluster size distribution and became zero only at infinite attraction strength when permanent gels are formed. It is concluded that so-called attractive glasses are not formed at finite interaction strength.

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Section: Introductionmentioning

confidence: 99%

Self-diffusion of reversibly aggregating spheres

Babu

Gimel

Nicolai

2007

The Journal of Chemical Physics

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“…Their criticality criterion for particles with variable range attractions, complemented by the simulation value of the critical temperature obtained in Ref. [40] for the SHS model, yields B 2 /B HS 2 ≈ −1.21.…”

Section: The Noro and Frenkel Criterionmentioning

confidence: 99%

“…[40] for the Sticky-Hard-Sphere model, to our effective one-component problem, we are led to conclude that criticality requires B eff 2 /B HS 2 = −1.21 where B eff 2 is the second virial coefficient of our effective solutesolute problem…”

Section: The Noro and Frenkel Criterionmentioning

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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“…Mere visual scrutiny of the simulation snapshots shows that gelation seems to be occurring-note that the attraction is so strong that we are now well beyond the percolation threshold. 12 This refers to a second type of metastability. It is beyond the scope of this paper to investigate this phenomenon further or the possibility of fluid-fluid coexistence.…”

Section: B Consistency Test In the Fluid Phasementioning

confidence: 99%

“…The advantage of approximating the original interaction by the Baxter potential is that the fluid phase of the Baxter model has been studied extensively, both theoretically [2][3][4][5][6][7][8][9] and in computer simulations. [10][11][12][13] This means that, once the correspondence between the two systems has been established, all the analytical results of the Baxter model can be fruitfully used for the original system.…”

Section: Introductionmentioning

confidence: 99%

Application of the optimized Baxter model to the hard-core attractive Yukawa system

Prinsen

Pàmies

Odijk

et al. 2006

The Journal of Chemical Physics

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We perform Monte Carlo simulations on the hard-core attractive Yukawa system to test the optimized Baxter model that was introduced by Prinsen and Odijk ͓J. Chem. Phys. 121, 6525 ͑2004͔͒ to study a fluid phase of spherical particles interacting through a short-range pair potential. We compare the chemical potentials and pressures from the simulations with analytical predictions from the optimized Baxter model. We show that the model is accurate to within 10% over a range of volume fractions from 0.1 to 0.4, interaction strengths up to three times the thermal energy, and interaction ranges from 6% to 20% of the particle diameter, and performs even better in most cases. We furthermore establish the consistency of the model by showing that the thermodynamic properties of the Yukawa fluid computed via simulations may be understood on the basis of one similarity variable, the stickiness parameter defined within the optimized Baxter model. Finally, we show that the optimized Baxter model works significantly better than an often used, naive method determining the stickiness parameter by equating the respective second virial coefficients based on the attractive Yukawa and Baxter potentials.

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Phase diagram of the adhesive hard sphere fluid

Cited by 143 publications

References 39 publications

Self-diffusion of reversibly aggregating spheres

Self-diffusion of reversibly aggregating spheres

The Square-Shoulder-Asakura–Oosawa model

Application of the optimized Baxter model to the hard-core attractive Yukawa system

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