Analytical solution of the Ornstein-Zernike equation with the mean spherical closure for a nematic phase

Holovko, M.; Sokolovska, T. G.

doi:10.1016/s0167-7322(99)00098-7

Cited by 31 publications

(53 citation statements)

References 15 publications

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“…Any finite range interaction potential between point particles can be decomposed to a sum of Yukawa potentials with arbitrary accuracy. Such decompositions have been used for interaction potentials in simple liquids [2], colloid [3,4] and other systems [5]. The study on non-uniform systems of particles interacting with the Yukawa potential remains well behind the research carried out on spatially uniform systems.…”

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confidence: 99%

Yukawa fluid at a hard wall: field theory description

et al. 2011

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mentioning

confidence: 99%

Yukawa fluid at a hard wall: field theory description

et al. 2011

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“…We consider a model [7][8][9] consisting of a system of uniaxial particles [nematogens (N )] interacting through a pair potential taken to be the sum of a hard-sphere interaction (sphere diameter σ) and an anisotropic part defined by…”

Section: Introduction To Molecular Modelling and Correlations In Nemamentioning

confidence: 99%

“…This interaction orders the bulk directorn parallel to the field. The OZL equations for this model have been solved analytically in the MSA [7,8].…”

Section: Introduction To Molecular Modelling and Correlations In Nemamentioning

confidence: 99%

“…For micron and submicron colloids the solution of equation (2) can be greatly simplified for model (4)(5)(6)(7). For this case we have suggested an ansatz, namely that the direct correlation function c CN (1, 2) can be taken from the wall-nematic solution that has been obtained for any orientation of the wall with respect to the field [9,10].…”

Section: Introduction To Molecular Modelling and Correlations In Nemamentioning

confidence: 99%

“…This means that in the case of zero field the correlation length is infinite. It was shown in [7] that these critical (Goldstone or elastic) correlations decrease at long distances as 1/R 12 . Moreover, they generate long-range asymptotes in h CN (R 12 ,ω 2 ) harmonics, in particular those that are coupled with h NN 22|m|=1 (R 12 ) through equation (2).…”

Section: Introduction To Molecular Modelling and Correlations In Nemamentioning

confidence: 99%

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Improved ansatz for the direct correlation function in dilute nematic colloids

Sokolovska¹,

Sokolovskii²,

Patey³

2007

Condens. Matter Phys.

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We present an improved analytical ansatz for the colloid-nematic direct correlation function. This ansatz is more accurate than our earlier version, and yields numerical results that are very close to the true mean spherical approximation for dilute nematic colloids. Furthermore, the improved ansatz is valid for external fields of any strength. We examine the zero-field behavior of the colloid-colloid potential of mean force in light of the improved ansatz, and show that at zero field and large separations this function decays as R −5 and grows as Σ 6 , where Σ is the colloidal diameter. These dependencies are consistent with our earlier conclusions based on a less accurate version of the ansatz. As with the original ansatz, the improved version remains analytical and can be readily applied to a broad range of physically interesting systems. These include patterned and nonspherical colloids, colloids trapped at interfaces, and nematic fluids in confined geometries, e.g. in droplets.

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