Freezing lines of colloidal Yukawa spheres. II. Local structure and characteristic lengths

Gapiński, Jacek; Nägele, Gerhard; Patkowski, A.

doi:10.1063/1.4895965

Cited by 12 publications

(19 citation statements)

References 63 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…3 and Ref. [28]). The deviation of the experimental data point at the largest considered TMP can be attributed instead to a preferential adsorption of silica particles at the membrane surface.…”

Section: B Comparison With Uf Measurementsmentioning

confidence: 99%

“…Moreover, since the HNC principal structure factor peak height, S(q m ; φ), at wavenumber q m is smaller than 3.1 for φ ≤ 0.3, the suspension is liquid-like structured. We have used here the semi-empirical Hansen-Verlet rule stating that if S(q m ) ≈ 3.1 is observed in a charge-stabilized systems with g(σ + ) ≈ 0, it is about to crystallize [28]. According to Fig.…”

Section: Osmotic Pressure Calculationmentioning

confidence: 99%

“…To describe D c and its associated sedimentation coefficient K, cell model expressions are often used [23] which do not account for particle correlations. These correlations are significantly different in dispersions of charged and neutral particles [27,28]. Only to a small extent have statistical mechanics approaches been used for calculating K and D c , based on an effective particle pair potential combined with an Ornstein-Zernike integral equation method.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Ultrafiltration of charge-stabilized dispersions at low salinity

et al. 2016

Self Cite

View full text Add to dashboard Cite

We present a comprehensive study of cross-flow ultrafiltration (UF) of charge-stabilized suspensions, under low-salinity conditions of electrostatically strongly repelling colloidal particles. The axially varying permeate flux, near-membrane concentration-polarization (CP) layer and osmotic pressure profiles are calculated using a macroscopic diffusion-advection boundary layer method, and are compared with filtration experiments on aqueous suspensions of charge-stabilized silica particles. The theoretical description based on the one-component macroion fluid model (OCM) accounts for the strong influence of surface-released counterions on the renormalized colloid charge and suspension osmotic compressibility, and for the influence of the colloidal hydrodynamic interactions and electric double layer repulsion on the concentration-dependent suspension viscosity η, and collective diffusion coefficient Dc. A strong electro-hydrodynamic enhancement of Dc and η, and likewise of the osmotic pressure, is predicted theoretically, as compared with their values for a hard-sphere suspension. We also point to the failure of generalized Stokes-Einstein relations describing reciprocal relations between Dc and η. According to our filtration model, Dc is of dominant influence, giving rise to an only weakly developed CP layer having practically no effect on the permeate flux. This prediction is quantitatively confirmed by our UF measurements of the permeate flux using an aqueous suspension of charged silica spheres as the feed system. The experimentally detected fouling for the largest considered transmembrane pressure values is shown not to be due to filter cake formation by crystallization or vitrification.

show abstract

Section: B Comparison With Uf Measurementsmentioning

confidence: 99%

Section: Osmotic Pressure Calculationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Ultrafiltration of charge-stabilized dispersions at low salinity

et al. 2016

Self Cite

View full text Add to dashboard Cite

show abstract

“…There is a single triple point of three-phase coexistence at λ t ≈ 6.9 [68,70]. According to [71,72], the fluid-solid coexistence boundary determined in simulations is well reproduced by the RY integral equation scheme in conjunction with the HansenVerlet criterion S(q m ) = 3.1 for the onset of freezing, where q m is the wavenumber position of the static structure factor maximum.…”

Section: Static Correlations Of Hsy Particlesmentioning

confidence: 83%

Rotational self-diffusion in suspensions of charged particles: simulations and revised Beenakker–Mazur and pairwise additivity methods

et al. 2015

Self Cite

View full text Add to dashboard Cite

To the present day, the Beenakker-Mazur (BM) method is the most comprehensive statistical physics approach to the calculation of short-time transport properties of colloidal suspensions. A revised version of the BM method with an improved treatment of hydrodynamic interactions is presented and evaluated regarding the rotational short-time self-diffusion coefficient, D r , of suspensions of charged particles interacting by a hard-sphere plus screened Coulomb (Yukawa) pair potential. To assess the accuracy of the method, elaborate simulations of D r have been performed, covering a broad range of interaction parameters and particle concentrations. The revised BM method is compared in addition with results by a simplifying pairwise additivity (PA) method in which the hydrodynamic interactions are treated on a two-body level. The static pair correlation functions required as input to both theoretical methods are calculated using the Rogers-Young integral equation scheme. While the revised BM method reproduces the general trends of the simulation results, it systematically and significantly underestimates the rotational diffusion coefficient. The PA method agrees well with the simulation data at lower volume fractions, but at higher concentrations D r is likewise underestimated. For a fixed value of the pair potential at mean particle distance comparable to the thermal energy, D r increases strongly with increasing Yukawa potential screening parameter.b On the leave of absence from:

show abstract

“…Similar features in the second peak of the structure factor have been discussed as possible freezing precursors, and as signatures of short-ranged order in the liquid phase [45,46] (see also the related Ref. [47]). To the best of our knowledge, the second peak shape feature is not observed in any of the usual liquid integral equation schemes that are formulated on the level of pair-correlation functions.…”

Section: Static Structure Factorsmentioning

confidence: 90%

Liquid pair correlations in four spatial dimensions: theory versus simulation

2015

View full text Add to dashboard Cite

Using liquid integral equation theory, we calculate the pair correlations of particles that interact via a smooth repulsive pair potential in d = 4 spatial dimensions. We discuss the performance of different closures for the Ornstein-Zernike equation, by comparing the results to computer simulation data. Our results are of relevance to understand crystal and glass formation in high-dimensional systems.

show abstract

Freezing lines of colloidal Yukawa spheres. II. Local structure and characteristic lengths

Cited by 12 publications

References 63 publications

Ultrafiltration of charge-stabilized dispersions at low salinity

Ultrafiltration of charge-stabilized dispersions at low salinity

Rotational self-diffusion in suspensions of charged particles: simulations and revised Beenakker–Mazur and pairwise additivity methods

Liquid pair correlations in four spatial dimensions: theory versus simulation

Contact Info

Product

Resources

About