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Liu Y, Chen X, Liu H, Hu Y, Jiang J. A density functional theory for Yukawa chain fluids in a nanoslit. MOLECULAR SIMULATION 2010. [DOI: 10.1080/08927020903348960] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 10/19/2022]
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Jiménez-Ángeles F, Odriozola G, Lozada-Cassou M. Stability mechanisms for plate-like nanoparticles immersed in a macroion dispersion. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2009; 21:424107. [PMID: 21715842 DOI: 10.1088/0953-8984/21/42/424107] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
An integral equation theory and Monte Carlo simulations are applied to study a model macroion solution confined between two parallel plates immersed in a 1:1 electrolyte and the macroions' counterions. We analyze the cases in which plates are: (a) uncharged; (b) when they are like-charged to the macroions; (c) when they are oppositely charged to the macroions. For all cases a long range oscillatory behavior of the induced charge density between the plates is found (implying an overcompensation/undercompensation of the plates' charge density) and a correlation between the confined and outside fluids. The behavior of the force is discussed in terms of the macroion and ion structure inside and outside the plates. A good agreement is found between theoretical and simulation results.
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Affiliation(s)
- Felipe Jiménez-Ángeles
- Programa de Ingeniería Molecular, Instituto Mexicano del Petróleo, Lázaro Cárdenas 152, 07730 México, DF, Mexico
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Affiliation(s)
- M. B. SWEATMAN
- a H. H. Wills Physics Laboratory , University of Bristol , Bristol , BS8 1TL , UK
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Ye Z, Chen H, Cai J, Liu H, Hu Y. Density functional theory of homopolymer mixtures confined in a slit. J Chem Phys 2006; 125:124705. [PMID: 17014198 DOI: 10.1063/1.2354087] [Citation(s) in RCA: 29] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A density functional theory (DFT) is developed for polymer mixtures with shorted-ranged attractive interparticle interactions confined in a slit. Different weighting functions are used separately for the repulsive part and the attractive part of the excess free energy functional by applying the weighted density approximation. The predicted results by DFT are in good agreement with the corresponding simulation data indicating the reliability of the theory. Furthermore, the center-of-mass profiles and the end-to-end distance distributions are obtained by the single chain simulation; the predictions also agree well with simulation data. The results reveal that both the attraction of the slit wall and the temperature has stronger effect on longer chains than on shorter ones because the intrasegment correlation of chains increases with increasing chain length.
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Affiliation(s)
- Zhencheng Ye
- State Key Laboratory of Chemical Engineering, East China University of Science and Technology, Shanghai 200237, China
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Tulpar A, Van Tassel PR, Walz JY. Structuring of macroions confined between like-charged surfaces. LANGMUIR : THE ACS JOURNAL OF SURFACES AND COLLOIDS 2006; 22:2876-83. [PMID: 16519498 DOI: 10.1021/la0530485] [Citation(s) in RCA: 51] [Impact Index Per Article: 2.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/07/2023]
Abstract
We investigate the structuring of charged spherical nanoparticles and micelles (i.e., "macroions") between two surfaces as a function of bulk macroion concentration. Structuring is deduced from measured force profiles between a silica particle and a silica plate in the presence of an aqueous macroion (Ludox silica nanoparticle or sodium dodecyl sulfate micelle) solution, obtained with an atomic force microscope. We observe oscillatory force profiles that decay with separation. We find that the wavelength of the force profiles scales with the bulk number density as rho(-)(1/3), rather than with the effective macroion size. Only at very high silica nanoparticle concentration (above 10 vol %) in a low ionic strength solution does the wavelength become smaller than that predicted by the simple rho(-)(1/3) scaling; however, the original scaling is recovered upon the addition of a small amount of electrolyte. A comparison between the measured wavelength and the predicted spacing between the macroions in the bulk shows that the two variables differ in both magnitude and bulk density scaling. This finding suggests that confined macroions are more ordered than those in the bulk and the nature of this ordering is maintained over a relatively wide range of bulk concentration.
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Affiliation(s)
- Aysen Tulpar
- Department of Chemical Engineering, Yale University, New Haven, Connecticut 06520-8286, USA
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Moradi M, Wheatley RJ, Avazpour A. Density profile and order parameter of a hard ellipsoidal fluid confined to a slit. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2005; 17:5625-5634. [PMID: 32397036 DOI: 10.1088/0953-8984/17/37/001] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/11/2023]
Abstract
The density profile and order parameter of a fluid of hard axially symmetric ellipsoids confined in between two parallel hard walls is obtained by using the density functional theory. The required input direct correlation function of the homogeneous fluid is calculated by the variational method introduced by Marko (1989 Phys. Rev. 39 2050) and the modified closest approach method proposed by Rickayzen (1998 Mol. Phys. 95 393). Here the restricted orientation model, ROM, is extended to study a fluid comprising molecules which can be aligned in more than six directions, making it more representative of a normal fluid. The density profiles, the average number density and order parameter are obtained for different values of density and elongations. The results are in agreement with the previous theory and available Monte Carlo simulation results.
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Affiliation(s)
- M Moradi
- Department of Physics, College of Science, Shiraz University, Shiraz 71454, Iran
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Chávez-Páez M, González-Mozuelos P, Medina-Noyola M, Méndez-Alcaraz JM. Correlations among colloidal particles confined to a spherical monolayer. J Chem Phys 2003. [DOI: 10.1063/1.1606435] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Zhou S. Perturbation Density Functional Theory for Density Profile of A Nonuniform and Uniform Hard Core Attractive Yukawa Model Fluid. J Phys Chem B 2002. [DOI: 10.1021/jp020431z] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Shiqi Zhou
- Research Institute of Modern Statistical Mechanics, Zhuzhou Institute of Technology, Wenhua Road, Zhuzhou City 412008, P. R. China
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9
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Density Functional Theory and Materials Modeling at Atomistic Length Scales. Int J Mol Sci 2002. [DOI: 10.3390/i3040260] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022] Open
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Choudhury N, Ghosh SK. Sedimentation equilibrium of a suspension of adhesive colloidal particles in a planar slit: A density functional approach. J Chem Phys 2002. [DOI: 10.1063/1.1421354] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Choudhury N, Ghosh SK. Adsorption of Lennard-Jones fluid mixture in a planar slit: a perturbative density functional approach. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2001; 64:021206. [PMID: 11497571 DOI: 10.1103/physreve.64.021206] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/17/2000] [Revised: 05/11/2001] [Indexed: 05/23/2023]
Abstract
A simple perturbative density functional approach is employed to investigate the adsorption behavior of a model Lennard-Jones fluid confined in a slitlike pore. Adsorption of one-component fluid as well as two-component fluid mixtures in varying pore sizes has been investigated. The results on the density profiles and the excess adsorption obtained from this theory are found to be in overall good agreement with the available computer simulation results. The results are also compared with the same from some recent weighted density based calculations.
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Affiliation(s)
- N Choudhury
- Theoretical Chemistry Section, RC and CD Division, Chemistry Group, Bhabha Atomic Research Centre, Mumbai 400 085, India
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González-Mozuelos P, Méndez-Alcaraz JM. Energetic contributions to wall-particle depletion forces. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2001; 63:021201. [PMID: 11308480 DOI: 10.1103/physreve.63.021201] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/24/2000] [Indexed: 05/23/2023]
Abstract
Recently, depletion forces were accounted for by a contraction of the description based on the integral equations theory of simple liquids [Phys. Rev. E 61, 4095 (2000)]. The extension of those results to the case of inhomogeneous systems is reported here. Besides, the energetic contributions to the wall-particle depletion forces are studied, as they arise as soon as charge is put on some of the components of a binary mixture of hard spheres on the front of a hard wall. By charging the small particles the amplitude of the depletion attraction between wall and large particles is reduced, and can even become a repulsion. A similar effect is observed if an attractive interaction between wall and small particles is present.
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Affiliation(s)
- P González-Mozuelos
- Departamento de Física, CINVESTAV-IPN, Avenida IPN 2508, Col. San Pedro Zacatenco, 07300 México, D.F., Mexico
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Choudhury N, Ghosh SK. Colloidal suspensions in charged cylindrical pores: A perturbative density functional approach. J Chem Phys 1999. [DOI: 10.1063/1.479434] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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von Grünberg HH, Klein R. Density functional theory of nonuniform colloidal suspensions: 3D density distributions and depletion forces. J Chem Phys 1999. [DOI: 10.1063/1.478437] [Citation(s) in RCA: 30] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Choudhury N, Ghosh SK. A perturbative density functional approach to the structure of colloidal suspension. J Chem Phys 1998. [DOI: 10.1063/1.476169] [Citation(s) in RCA: 11] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Affiliation(s)
- Jong-Ho Yi
- Department of Physics, Andong National University, Andong, 760-749 Korea
| | - Soon-Chul Kim
- Department of Physics, Andong National University, Andong, 760-749 Korea
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Choudhury N, Ghosh SK. Density functional theory of adhesive hard sphere fluids. J Chem Phys 1997. [DOI: 10.1063/1.473286] [Citation(s) in RCA: 19] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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