Reentrant crystallization of like-charged colloidal particles in an electrolyte solution: Relationship between the shape of the phase diagram and the effective potential of colloidal particles

Tamura, Y.; Yoshimori, Akira; Suematsu, Ayumi; Akiyama, Ryo

doi:10.1209/0295-5075/129/66001

Cited by 6 publications

(3 citation statements)

References 47 publications

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“…2 The conditions where these transitions occur are determined by the (effective) interactions between the colloidal particles and are affected by their environment. [3][4][5] In colloidal products, this environment is often composed of different types of other colloidal particles that interact with each other. For example, coating formulations often contain multiple colloidal components that can serve either as binder, pigment, or additive.…”

Section: Introductionmentioning

confidence: 99%

Phase behavior of binary hard-sphere mixtures: Free volume theory including reservoir hard-core interactions

Opdam

Schelling

Tuinier

2021

The Journal of Chemical Physics

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Section: Introductionmentioning

confidence: 99%

Phase behavior of binary hard-sphere mixtures: Free volume theory including reservoir hard-core interactions

Opdam

Schelling

Tuinier

2021

The Journal of Chemical Physics

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show abstract

“…The stability of these products depends on the phase behaviour of the colloids that can undergo phase transitions similar to atomic or molecular systems 2 . The conditions where these transitions occur are determined by the (effective) interactions between the colloidal particles and are affected by their environment [3][4][5] . In colloidal products this environment is often composed of different types of other colloidal particles that interact with each other.…”

Section: Introductionmentioning

confidence: 99%

Phase Behaviour of Binary Hard-Sphere Mixtures: Free Volume Theory Including Reservoir Hard-Core Interactions

Opdam,

Schelling,

Tuinier

2021

Preprint

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Comprehensive calculations were performed to predict the phase behaviour of large spherical colloids mixed with small spherical colloids that act as depletant. To this end, the free volume theory (FVT) of Lekkerkerker et al. [Europhys. Lett. 20 (1992) 559] is used as a basis and is extended to explicitly include the hard-sphere character of colloidal depletants into the expression for the free volume fraction. Taking the excluded volume of the depletants into account in both the system and the reservoir provides a relation between the depletant concentration in the reservoir and in the system that accurately matches with computer simulation results of Dijkstra et al. [Phys. Rev. E 59 (1999) 5744]. Moreover, the phase diagrams for highly asymmetric mixtures with size ratios q 0.2 obtained by using this new approach corroborates simulation results significantly better than earlier FVT applications to binary hard-sphere mixtures. The phase diagram of a binary hard-sphere mixture with a size ratio of q = 0.4, where a binary interstitial solid solution is formed at high densities, is investigated using a numerical free volume approach. At this size ratio, the obtained phase diagram is qualitatively different from previous FVT approaches for hard-sphere and penetrable depletants, but again compares well with simulation predictions.

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“…Finally, a thermodynamic perturbation approach with effective interactions showed the reentrant condensations [42].…”

mentioning

confidence: 99%

Integral equation study of effective attraction between like-charged particles mediated by cations: Comparison between IPY2 and HNC closures

Takeda¹,

Maruyama²,

Akiyama³

et al. 2022

EPL

Self Cite

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Effective interactions between like-charged particles immersed in an electrolyte solution were calculated using two integral equation theories, hypernetted-chain (HNC)-Ornstein Zernike (OZ) and ionic Percus–Yevick 2 (IPY2)-OZ. When the HNC-OZ theory was adopted, the electrolyte concentration dependence of the effective interaction showed a reentrant behavior. By contrast, the IPY2-OZ theory did not indicate the behavior. Monte Carlo simulations were performed for one of the model systems, and the results agreed qualitatively with those calculated using the HNC-OZ theory.

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Reentrant crystallization of like-charged colloidal particles in an electrolyte solution: Relationship between the shape of the phase diagram and the effective potential of colloidal particles

Cited by 6 publications

References 47 publications

Phase behavior of binary hard-sphere mixtures: Free volume theory including reservoir hard-core interactions

Phase behavior of binary hard-sphere mixtures: Free volume theory including reservoir hard-core interactions

Phase Behaviour of Binary Hard-Sphere Mixtures: Free Volume Theory Including Reservoir Hard-Core Interactions

Integral equation study of effective attraction between like-charged particles mediated by cations: Comparison between IPY2 and HNC closures

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