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Adaptive intermolecular interaction parameters for accurate Mixture Density Functional Theory calculations. Chem Eng Sci 2022. [DOI: 10.1016/j.ces.2022.117628] [Citation(s) in RCA: 2] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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2
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Cea-Klapp E, Quinteros-Lama H, Polishuk I, Garrido JM. Effect of size disparity on the gas-liquid interfacial properties of Lennard-Jones monomer plus dimer mixtures. J Mol Liq 2020. [DOI: 10.1016/j.molliq.2020.113280] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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3
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Alavianmehr MM, Hosseini SM, Moghadasi J, El-Shaikh M. Surface Tension of Refrigerant Fluids from a Molecular-Based Model. BULLETIN OF THE CHEMICAL SOCIETY OF JAPAN 2014. [DOI: 10.1246/bcsj.20140086] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/22/2022]
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4
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Lurie-Gregg P, Schulte JB, Roundy D. Approach to approximating the pair distribution function of inhomogeneous hard-sphere fluids. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2014; 90:042130. [PMID: 25375461 DOI: 10.1103/physreve.90.042130] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/26/2014] [Indexed: 06/04/2023]
Abstract
We introduce an approximation for the pair distribution function of the inhomogeneous hard sphere fluid. Our approximation makes use of our recently published averaged pair distribution function at contact, which has been shown to accurately reproduce the averaged pair distribution function at contact for inhomogeneous density distributions. This approach achieves greater computational efficiency than previous approaches by enabling the use of exclusively fixed-kernel convolutions and thus allowing an implementation using fast Fourier transforms. We compare results for our pair distribution approximation with two previously published works and Monte Carlo simulation, showing favorable results.
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Affiliation(s)
- Paho Lurie-Gregg
- Department of Physics, Oregon State University, Corvallis, Oregon 97331, USA
| | - Jeff B Schulte
- Department of Physics, Oregon State University, Corvallis, Oregon 97331, USA
| | - David Roundy
- Department of Physics, Oregon State University, Corvallis, Oregon 97331, USA
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5
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Ghobadi AF, Elliott JR. Adapting SAFT-γ perturbation theory to site-based molecular dynamics simulation. II. Confined fluids and vapor-liquid interfaces. J Chem Phys 2014; 141:024708. [DOI: 10.1063/1.4886398] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/06/2023] Open
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6
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Klink C, Gross J. A Density Functional Theory for Vapor–Liquid Interfaces of Mixtures Using the Perturbed-Chain Polar Statistical Associating Fluid Theory Equation of State. Ind Eng Chem Res 2014. [DOI: 10.1021/ie4029895] [Citation(s) in RCA: 43] [Impact Index Per Article: 4.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/31/2022]
Affiliation(s)
- Christoph Klink
- Institute of Thermodynamics
and Thermal Process Engineering, University of Stuttgart, Pfaffenwaldring
9, 70569 Stuttgart, Germany
| | - Joachim Gross
- Institute of Thermodynamics
and Thermal Process Engineering, University of Stuttgart, Pfaffenwaldring
9, 70569 Stuttgart, Germany
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7
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Ghosh S, Ghosh SK. Density functional theory of size-dependent surface tension of Lennard-Jones fluid droplets using a double well type Helmholtz free energy functional. J Chem Phys 2011; 135:124710. [DOI: 10.1063/1.3633475] [Citation(s) in RCA: 8] [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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8
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Ustinov EA. Effect of three-body interactions on Ar adsorption on graphitized carbon black. J Chem Phys 2010; 132:194703. [DOI: 10.1063/1.3432451] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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9
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Lutsko JF. Recent Developments in Classical Density Functional Theory. ADVANCES IN CHEMICAL PHYSICS 2010. [DOI: 10.1002/9780470564318.ch1] [Citation(s) in RCA: 57] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 12/12/2022]
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10
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KIM SOONCHUL, CUMMINGS PETERT. Adsorption isotherm of a Lennard-Jones nitrogen in a carbon slitlike pore. Mol Phys 2009. [DOI: 10.1080/00268970110041227] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/16/2022]
Affiliation(s)
- SOON-CHUL KIM
- a Department of Physics , Andong National University , Andong , 760-749 , Korea
| | - PETER T. CUMMINGS
- b Department of Chemical Engineering , University of Tennessee , Knoxville , TN , 37996 , USA
- c Chemical Technology Division, Oak Ridge National Laboratory , Oak Ridge , TN , 37831 , USA
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11
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Napari I. Equilibrium vapor pressure and surface tension from cluster data: Density functional results. J Chem Phys 2008; 129:154507. [DOI: 10.1063/1.2996180] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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12
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Berim GO, Ruckenstein E. Microscopic calculation of the sticking force for nanodrops on an inclined surface. J Chem Phys 2008; 129:114709. [DOI: 10.1063/1.2978238] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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13
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Yang Z, Yang X, Xu Z. Structure of hard-core Yukawa fluid mixtures near a semi-permeable membrane: A density functional study. J Memb Sci 2008. [DOI: 10.1016/j.memsci.2008.04.021] [Citation(s) in RCA: 9] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
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14
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Lutsko JF. Density functional theory of inhomogeneous liquids. II. A fundamental measure approach. J Chem Phys 2008; 128:184711. [DOI: 10.1063/1.2916694] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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15
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Lutsko JF. Density functional theory of inhomogeneous liquids. I. The liquid-vapor interface in Lennard-Jones fluids. J Chem Phys 2007; 127:054701. [PMID: 17688351 DOI: 10.1063/1.2753500] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
A simple model is proposed for the direct correlation function (DCF) for simple fluids consisting of a hard-core contribution, a simple parametrized core correction, and a mean-field tail. The model requires as input only the free energy of the homogeneous fluid, obtained, e.g., from thermodynamic perturbation theory. Comparison to the DCF obtained from simulation of a Lennard-Jones fluid shows this to be a surprisingly good approximation for a wide range of densities. The model is used to construct a density functional theory for inhomogeneous fluids which is applied to the problem of calculating the surface tension of the liquid-vapor interface. The numerical values found are in good agreement with simulation.
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Affiliation(s)
- James F Lutsko
- Universite Libre de Bruxelles, B-1050 Bruxelles, Belgium
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16
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Fu D. Investigation of Surface Tensions for Pure Fluids outside and inside the Critical Region. CHINESE J CHEM 2006. [DOI: 10.1002/cjoc.200690245] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/07/2022]
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17
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Fu D. Study on Vapor−Liquid Equilibria and Surface Tensions for Nonpolar Fluids by Renormalization Group Theory and Density Gradient Theory. J Phys Chem B 2006; 110:19575-81. [PMID: 17004822 DOI: 10.1021/jp063361v] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
An equation of state (EOS) applicable for both the uniform and nonuniform fluids is established by using the density-gradient theory (DGT). In the bulk phases, the EOS reduces to statistical associating fluid theory (SAFT). By combining the EOS with the renormalization group theory (RGT), the vapor-liquid-phase equilibria and surface tensions for 10 nonpolar chainlike fluids are investigated from low temperature up to the critical point. The obtained results agree well with the experimental data.
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Affiliation(s)
- Dong Fu
- School of Environmental Science and Engineering, North China Electric Power University, Baoding, 071003 People's Republic of China.
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18
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Barrett JC. Some estimates of the surface tension of curved surfaces using density functional theory. J Chem Phys 2006; 124:144705. [PMID: 16626229 DOI: 10.1063/1.2179425] [Citation(s) in RCA: 23] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Density functional theory is used to calculate the surface tension of planar and slightly curved surfaces, which can be written as gamma(R)=gamma(infinity)(1-2delta(infinity)R), where R is the radius of curvature of the surface. Calculations are performed for a Lennard-Jones fluid, split into a hard-sphere repulsive potential and an attractive part. The repulsive part is treated using the local density approximation. The attractive part is treated using a high temperature approximation (HTA) in which the pair correlation function is approximated by the Percus-Yevick pair correlation function of a uniform hard-sphere fluid evaluated at a position-dependent average density. An expression relating the Tolman length delta(infinity) to the density profile of the planar surface is derived. Numerical results are presented for the planar surface tension gamma(infinity) and for delta(infinity) and are compared with those using mean field theory (MFT) and with those using the square-gradient approximation. Values for gamma(infinity) using the HTA are 30%-40% higher than those using MFT. Values for delta(infinity) using the HTA are around -0.1 (in units of the Lennard-Jones parameter sigma) and only weakly dependent on temperature. These values are less negative than the values from MFT. The square-gradient approximation gives reasonable estimates of the more accurate nonlocal results for both the MFT and the HTA.
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Affiliation(s)
- Jonathan C Barrett
- Nuclear Department, DCEME, HMS Sultan, Military Road, Gosport PO12 3BY, United Kingdom.
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Tang Y. First-order mean-spherical approximation for interfacial phenomena: A unified method from bulk-phase equilibria study. J Chem Phys 2005; 123:204704. [PMID: 16351290 DOI: 10.1063/1.2121707] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
The recently proposed first-order mean-spherical approximation (FMSA) [Y. Tang, J. Chem. Phys. 121, 10605 (2004)] for inhomogeneous fluids is extended to the study of interfacial phenomena. Computation is performed for the Lennard-Jones fluid, in which all phase equilibria properties and direct correlation function for density-functional theory are developed consistently and systematically from FMSA. Three functional methods, including fundamental measure theory for the repulsive force, local-density approximation, and square-gradient approximation, are applied in this interfacial investigation. Comparisons with the latest computer simulation data indicate that FMSA is satisfactory in predicting surface tension, density profile, as well as relevant phase equilibria. Furthermore, this work strongly suggests that FMSA is very capable of unifying homogeneous and inhomogeneous fluids, as well as those behaviors outside and inside the critical region within one framework.
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Affiliation(s)
- Yiping Tang
- Honeywell Process Solutions, 300-250 York Street, London, Ontario N6A 6K2, Canada.
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Geysermans P, Elyeznasni N, Russier V. Layered interfaces between immiscible liquids studied by density-functional theory and molecular-dynamics simulations. J Chem Phys 2005; 123:204711. [PMID: 16351297 DOI: 10.1063/1.2126592] [Citation(s) in RCA: 17] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
We present a study of the structure in the interface between two immiscible liquids by density-functional theory and molecular-dynamics calculations. The liquids are modeled by Lennard-Jones potentials, which achieve immiscibility by suppressing the attractive interaction between unlike particles. The density profiles of the liquids display oscillations only in a limited part of the simple liquid-phase diagram (rho,T). When approaching the liquid-vapor coexistence, a significant depletion appears while the layering behavior of the density profile vanishes. By analogy with the liquid-vapor interface and the analysis of the adsorption this behavior is suggested to be strongly related to the drying transition.
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Affiliation(s)
- P Geysermans
- Centre d'Etudes de Chimie Metallurgique (CECM), UPR2801 Centre National de la Recherche Scientifique (CNRS), 15 rue Georges Urbain, 94407 Vitry-sur-Seine Cedex, France
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Moncho-Jordá A, Dzubiella J, Hansen JP, Louis AA. Density-functional study of interfacial properties of colloid-polymer mixtures. J Phys Chem B 2005; 109:6640-9. [PMID: 16851746 DOI: 10.1021/jp045841x] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Abstract
Interfacial properties of colloid-polymer mixtures are examined within an effective one-component representation, where the polymer degrees of freedom are traced out, leaving a fluid of colloidal particles interacting via polymer-induced depletion forces. Restriction is made to zero-, one-, and two-body effective potentials, and a free energy functional is used that treats colloid excluded volume correlations within Rosenfeld's fundamental measure theory, and depletion-induced attraction within first-order perturbation theory. This functional allows a consistent treatment of both ideal and interacting polymers. The theory is applied to surface properties near a hard wall, to the depletion interaction between two walls, and to the fluid-fluid interface of demixed colloid-polymer mixtures. The results of the present theory compare well with predictions of a fully two-component representation of mixtures of colloids and ideal polymers (the Asakura-Oosawa model) and allow a systematic investigation of the effects of polymer-polymer interactions on interfacial properties. In particular, the wall surface tension is found to be significantly larger for interacting than for ideal polymers, whereas the opposite trend is predicted for the fluid-fluid interfacial tension.
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Affiliation(s)
- A Moncho-Jordá
- Departamento de Física Aplicada, Universidad de Granada, Facultad de Ciencias, Campus Fuentenueva S/N, 18071 Granada, Spain.
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22
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Gloor GJ, Jackson G, Blas FJ, Del Río EM, de Miguel E. An accurate density functional theory for the vapor-liquid interface of associating chain molecules based on the statistical associating fluid theory for potentials of variable range. J Chem Phys 2004; 121:12740-59. [PMID: 15606300 DOI: 10.1063/1.1807833] [Citation(s) in RCA: 113] [Impact Index Per Article: 5.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
Abstract
A Helmholtz free energy density functional is developed to describe the vapor-liquid interface of associating chain molecules. The functional is based on the statistical associating fluid theory with attractive potentials of variable range (SAFT-VR) for the homogenous fluid [A. Gil-Villegas, A. Galindo, P. J. Whitehead, S. J. Mills, G. Jackson, and A. N. Burgess, J. Chem. Phys. 106, 4168 (1997)]. A standard perturbative density functional theory (DFT) is constructed by partitioning the free energy density into a reference term (which incorporates all of the short-range interactions, and is treated locally) and an attractive perturbation (which incorporates the long-range dispersion interactions). In our previous work [F. J. Blas, E. Martin del Rio, E. de Miguel, and G. Jackson, Mol. Phys. 99, 1851 (2001); G. J. Gloor, F. J. Blas, E. Martin del Rio, E. de Miguel, and G. Jackson, Fluid Phase Equil. 194, 521 (2002)] we used a mean-field version of the theory (SAFT-HS) in which the pair correlations were neglected in the attractive term. This provides only a qualitative description of the vapor-liquid interface, due to the inadequate mean-field treatment of the vapor-liquid equilibria. Two different approaches are used to include the correlations in the attractive term: in the first, the free energy of the homogeneous fluid is partitioned such that the effect of correlations are incorporated in the local reference term; in the second, a density averaged correlation function is incorporated into the perturbative term in a similar way to that proposed by Toxvaerd [S. Toxvaerd, J. Chem. Phys. 64, 2863 (1976)]. The latter is found to provide the most accurate description of the vapor-liquid surface tension on comparison with new simulation data for a square-well fluid of variable range. The SAFT-VR DFT is used to examine the effect of molecular chain length and association on the surface tension. Different association schemes (dimerization, straight and branched chain formation, and network structures) are examined separately. The surface tension of the associating fluid is found to be bounded between the nonassociating and fully associated limits (both of which correspond to equivalent nonassociating systems). The temperature dependence of the surface tension is found to depend strongly on the balance between the strength and range of the association, and on the particular association scheme. In the case of a system with a strong but very localized association interaction, the surface tension exhibits the characteristic "s shaped" behavior with temperature observed in fluids such as water and alkanols. The various types of curves observed in real substances can be reproduced by the theory. It is very gratifying that a DFT based on SAFT-VR free energy can provide an accurate quantitative description of the surface tension of both the model and experimental systems.
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Affiliation(s)
- Guy J Gloor
- Department of Chemical Engineering and Chemical Technology, Imperial College London, South Kensington Campus, London SW7 2AZ, United Kingdom
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Pizio O, Reszko-Zygmunt J, Patrykiejew A, Sokołowski S. Microscopic structure and properties of an interface between coexisting phases of an associating fluid adsorbed in slitlike pores. J Colloid Interface Sci 2003; 260:126-34. [PMID: 12742042 DOI: 10.1016/s0021-9797(02)00139-x] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/20/2022]
Abstract
Using density functional theory, we calculate density profiles of an associating fluid in slitlike pores. These profiles characterize an interface between two coexisting, adsorbed phases, e.g., between gaseous and liquid phases formed during capillary condensation. Our study has been carried out for weakly, as well as for strongly, associated fluids confined in pores of different widths. We also investigate the role of the fluid-wall interaction.
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Affiliation(s)
- Orest Pizio
- Instituto de Quimica de la UNAM, Coyoacán 04511, México D.F., Mexico
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Alejandre J, Duda Y, Sokołowski S. Computer modeling of the liquid–vapor interface of an associating Lennard-Jones fluid. J Chem Phys 2003. [DOI: 10.1063/1.1524158] [Citation(s) in RCA: 24] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Bhatt D, Newman J, Radke CJ. Molecular Simulation of Disjoining-Pressure Isotherms for Free Liquid, Lennard-Jones Thin Films. J Phys Chem B 2002. [DOI: 10.1021/jp0202136] [Citation(s) in RCA: 43] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Divesh Bhatt
- Department of Chemical Engineering, University of California, Berkeley, California 94720-1462
| | - John Newman
- Department of Chemical Engineering, University of California, Berkeley, California 94720-1462
| | - C. J. Radke
- Department of Chemical Engineering, University of California, Berkeley, California 94720-1462
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