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Thermodynamic properties of hard-core attractive Yukawa fluids: Single-component monomers, binary mixtures and chains. J Mol Liq 2021. [DOI: 10.1016/j.molliq.2021.116493] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/19/2022]
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Guérin H. First-order mean spherical approximation (FMSA) for the Buckingham Exp(αE, m) potential. J Mol Liq 2020. [DOI: 10.1016/j.molliq.2020.112812] [Citation(s) in RCA: 4] [Impact Index Per Article: 1.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Zhou S, Zhou R. A comprehensive comparison between thermodynamic perturbation theory and first-order mean spherical approximation: Based on discrete potentials with hard core. Chem Phys 2017. [DOI: 10.1016/j.chemphys.2017.05.018] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/16/2022]
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Wu J, Henderson D, Yu Chan K. A life dedicated to the theory of simple fluids − in memory of Yiping Tang. Mol Phys 2016. [DOI: 10.1080/00268976.2016.1171410] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/21/2022]
Affiliation(s)
- Jianzhong Wu
- Department of Chemical and Environmental Engineering, University of California, Riverside, CA, USA
| | - Douglas Henderson
- Department of Chemistry and Biochemistry, Brigham Young University, Provo, UT, USA
| | - Kwong Yu Chan
- Department of Chemistry, The University of Hong Kong, Pokfulam, Hong Kong
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Hollingshead KB, Truskett TM. Predicting the structure of fluids with piecewise constant interactions: Comparing the accuracy of five efficient integral equation theories. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2015; 91:043307. [PMID: 25974612 DOI: 10.1103/physreve.91.043307] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/29/2014] [Indexed: 06/04/2023]
Abstract
We use molecular dynamics simulations to test integral equation theory predictions for the structure of fluids of spherical particles with eight different piecewise-constant pair-interaction forms comprising a hard core and a combination of two shoulders and/or wells. Since model pair potentials like these are of interest for discretized or coarse-grained representations of effective interactions in complex fluids (e.g., for computationally intensive inverse optimization problems), we focus here on assessing how accurately their properties can be predicted by analytical or simple numerical closures including Percus-Yevick, hypernetted-chain, and reference hypernetted-chain closures and first-order mean spherical and modified first-order mean spherical approximations. To make quantitative comparisons between the predicted and simulated radial distribution functions, we introduce a cumulative structural error metric. For equilibrium fluid state points of these models, we find that the reference hypernetted-chain closure is the most accurate of the tested approximations as characterized by this metric or related thermodynamic quantities.
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Affiliation(s)
- Kyle B Hollingshead
- McKetta Department of Chemical Engineering, University of Texas at Austin, Austin, Texas 78712, USA
| | - Thomas M Truskett
- McKetta Department of Chemical Engineering, University of Texas at Austin, Austin, Texas 78712, USA
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Palanco JM, MacDowell LG. Analytic perturbative FMSA equation of state and thermodynamic properties from Monte Carlo simulation of the Kihara potential with a spherical core. Mol Phys 2015. [DOI: 10.1080/00268976.2014.1001804] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
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Hollingshead KB, Jain A, Truskett TM. Communication: Fine discretization of pair interactions and an approximate analytical strategy for predicting equilibrium behavior of complex fluids. J Chem Phys 2013; 139:161102. [DOI: 10.1063/1.4826649] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/25/2022] Open
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9
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Bryk P, MacDowell LG. Solvation effects for polymers at an interface: A hybrid self-consistent field–density functional theory approach. J Chem Phys 2011; 135:204901. [DOI: 10.1063/1.3662139] [Citation(s) in RCA: 12] [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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Hlushak SP, Trokhymchuk AD, Sokołowski S. Direct correlation function for complex square barrier-square well potentials in the first-order mean spherical approximation. J Chem Phys 2011; 134:114101. [PMID: 21428601 DOI: 10.1063/1.3560049] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/19/2022] Open
Abstract
The direct correlation function of the complex discrete potential model fluids is obtained as a linear combination of the first-order mean spherical approximation (FMSA) solution for the simple square well model that has been reported recently [Hlushak et al., J. Chem. Phys. 130, 234511 (2009)]. The theory is employed to evaluate the structure and thermodynamics of complex fluids based on the square well-barrier and square well-barrier-well discrete potential models. Obtained results are compared with theoretical predictions of the hybrid mean spherical approximation, already reported in the literature [Guillen-Escamilla et al., J. Phys.: Condens. Matter 19, 086224 (2007)], and with computer simulation data of this study. The compressibility route to thermodynamics is then used to check whether the FMSA theory is able to predict multiple fluid-fluid transitions for the square barrier-well model fluids.
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Affiliation(s)
- S P Hlushak
- Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine, Lviv 79011, Ukraine
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Zeng M, Mi J, Zhong C. Wetting behavior of spherical nanoparticles at a vapor-liquid interface: a density functional theory study. Phys Chem Chem Phys 2011; 13:3932-41. [PMID: 21212890 DOI: 10.1039/c0cp02192j] [Citation(s) in RCA: 26] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/21/2022]
Abstract
The wetting behavior of spherical nanoparticles at a vapor-liquid interface is investigated by using density functional theory, and the line tension calculation method is modified by analyzing the total energy of the vapor-liquid-particle equilibrium. Compared with the direct measurement data from simulation, the results reveal that the thermodynamically consistent Young's equation for planar interfaces is still applicable for high curvature surfaces in predicting a wide range of contact angles. The effect of the line tension on the contact angle is further explored, showing that the contact angles given by the original and modified Young's equations are nearly the same within the region of 60° < θ < 120°. Whereas the effect is considerable when the contact angle deviates from the region. The wetting property of nanoparticles in terms of the fluid-particle interaction strength, particle size, and temperature is also discussed. It is found that, for a certain particle, a moderate fluid-particle interaction strength would keep the particle stable at the interface in a wide temperature range.
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Affiliation(s)
- Ming Zeng
- Laboratory of Computational Chemistry, Department of Chemical Engineering, Beijing University of Chemical Technology, Beijing 100029, China
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Zhou D, Zeng M, Mi J, Zhong C. Theoretical Study of Phase Transition, Surface Tension, and Nucleation Rate Predictions for Argon. J Phys Chem B 2010; 115:57-63. [PMID: 21162588 DOI: 10.1021/jp104969c] [Citation(s) in RCA: 16] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Di Zhou
- Laboratory of Computational Chemistry, Department of Chemical Engineering, Beijing University of Chemical Technology, Beijing 100029, China
| | - Ming Zeng
- Laboratory of Computational Chemistry, Department of Chemical Engineering, Beijing University of Chemical Technology, Beijing 100029, China
| | - Jianguo Mi
- Laboratory of Computational Chemistry, Department of Chemical Engineering, Beijing University of Chemical Technology, Beijing 100029, China
| | - Chongli Zhong
- Laboratory of Computational Chemistry, Department of Chemical Engineering, Beijing University of Chemical Technology, Beijing 100029, China
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Zeng M, Mi J, Zhong C. Density Functional Theory Integrated with Renormalization Group Theory for Criticality of Nanoconfined Fluids. J Phys Chem B 2010; 114:3894-901. [DOI: 10.1021/jp911070a] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Ming Zeng
- Laboratory of Computational Chemistry, Department of Chemical Engineering Beijing University of Chemical Technology, Beijing 100029, China
| | - Jianguo Mi
- Laboratory of Computational Chemistry, Department of Chemical Engineering Beijing University of Chemical Technology, Beijing 100029, China
| | - Chongli Zhong
- Laboratory of Computational Chemistry, Department of Chemical Engineering Beijing University of Chemical Technology, Beijing 100029, China
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Zhou S, Solana JR. Progress in the Perturbation Approach in Fluid and Fluid-Related Theories. Chem Rev 2009; 109:2829-58. [DOI: 10.1021/cr900094p] [Citation(s) in RCA: 61] [Impact Index Per Article: 4.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 01/07/2023]
Affiliation(s)
- Shiqi Zhou
- State Key Laboratory of Powder Metallurgy, Central South University, Changsha, Hunan 410083, China, and School of Physics Science and Technology, Central South University, Changsha, Hunan 410083, China
| | - J. R. Solana
- Applied Physics Department, University of Cantabria, 39005 Santander, Spain
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Solana JR. Thermodynamic properties of double square-well fluids: Computer simulations and theory. J Chem Phys 2008; 129:244502. [DOI: 10.1063/1.3043571] [Citation(s) in RCA: 14] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Díez A, Largo J, Solana JR. Thermodynamic properties of model solids with short-ranged potentials from Monte Carlo simulations and perturbation theory. J Phys Chem B 2007; 111:10194-201. [PMID: 17683133 DOI: 10.1021/jp072059z] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Abstract
Monte Carlo simulations have been performed to determine the excess energy and the equation of state of fcc solids with Sutherland potentials for wide ranges of temperatures, densities, and effective potential ranges. The same quantities have been determined within a perturbative scheme by means of two procedures: (i) Monte Carlo simulations performed on the reference hard-sphere system and (ii) second-order Barker-Henderson perturbation theory. The aim was twofold: on the one hand, to test the capability of the "exact" MC-perturbation theory of reproducing the direct MC simulations and, on the other hand, the reliability of the Barker-Henderson perturbation theory, as compared with direct MC simulations and MC-perturbation theory, to determine the thermodynamic properties of these solids depending on temperature, density, and potential range. We have found that the simulation data for the excess energy obtained from the two procedures are in close agreement with each other. For the equation of state, the results from the MC-perturbation procedure also agree well with the direct MC simulations except for very low temperatures and extremely short-ranged potentials. Regarding the Barker-Henderson perturbation theory, we have found that in general the second-order approximation does not provide significant improvement over the first-order one.
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Affiliation(s)
- A Díez
- Departamento de Física Aplicada, Universidad de Cantabria, E-39005 Santander, Spain
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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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Wu J. Density functional theory for chemical engineering: From capillarity to soft materials. AIChE J 2006. [DOI: 10.1002/aic.10713] [Citation(s) in RCA: 299] [Impact Index Per Article: 16.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/09/2022]
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Calero S, Garzón B, Lago S. Influence of charge distribution on the thermophysical and dynamical properties of polar linear molecules. J Chem Phys 2003. [DOI: 10.1063/1.1574775] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Wu N, Feng SS, Chiew YC. Integral equation theories for monodisperse and polydisperse sticky hard sphere chain fluid: Thermodynamic and structural properties in the polymer Percus–Yevick and ideal chain approximations. J Chem Phys 2003. [DOI: 10.1063/1.1575199] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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MacDowell LG, Virnau P, Müller M, Binder K. Critical lines and phase coexistence of polymer solutions: A quantitative comparison between Wertheim’s thermodynamic perturbation theory and computer simulations. J Chem Phys 2002. [DOI: 10.1063/1.1502254] [Citation(s) in RCA: 31] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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22
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Wu N, Feng SS, Chiew YC. Thermodynamic and structural properties of a sticky hard-sphere heteronuclear dimer fluid. J Chem Phys 2002. [DOI: 10.1063/1.1495848] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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23
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Jamnik A. Structure of a two-component mixture of sticky hard-sphere fluids in a planar gap. J Chem Phys 2001. [DOI: 10.1063/1.1359180] [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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Wadewitz T, Winkelmann J. Application of density functional perturbation theory to pure fluid liquid–vapor interfaces. J Chem Phys 2000. [DOI: 10.1063/1.482062] [Citation(s) in RCA: 38] [Impact Index Per Article: 1.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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González MacDowell L, Müller M, Vega C, Binder K. Equation of state and critical behavior of polymer models: A quantitative comparison between Wertheim’s thermodynamic perturbation theory and computer simulations. J Chem Phys 2000. [DOI: 10.1063/1.481807] [Citation(s) in RCA: 73] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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Calero S, Garzón B, Jorge S, Mejías, Tortajada J, Lago S. Suitability of the Kihara Potential To Predict Molecular Spectra of Linear Polyatomic Liquids. J Phys Chem B 2000. [DOI: 10.1021/jp993904j] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- S. Calero
- Facultad de Ciencias Experimentales, Carretera de Utrera, Km 1, Universidad Pablo de Olavide, 41013 Seville, Spain; Departamento Química Física, Facultad de Ciencias Químicas, Universidad Complutense, 28040 Madrid, Spain; and Departamento Ciencias Básicas, Facultad de Ciencias Experimentales y Técnicas, Universidad San Pablo CEU, Urbanización Montepríncipe, Boadilla del Monte, 28660 Madrid, Spain
| | - B. Garzón
- Facultad de Ciencias Experimentales, Carretera de Utrera, Km 1, Universidad Pablo de Olavide, 41013 Seville, Spain; Departamento Química Física, Facultad de Ciencias Químicas, Universidad Complutense, 28040 Madrid, Spain; and Departamento Ciencias Básicas, Facultad de Ciencias Experimentales y Técnicas, Universidad San Pablo CEU, Urbanización Montepríncipe, Boadilla del Monte, 28660 Madrid, Spain
| | - S. Jorge
- Facultad de Ciencias Experimentales, Carretera de Utrera, Km 1, Universidad Pablo de Olavide, 41013 Seville, Spain; Departamento Química Física, Facultad de Ciencias Químicas, Universidad Complutense, 28040 Madrid, Spain; and Departamento Ciencias Básicas, Facultad de Ciencias Experimentales y Técnicas, Universidad San Pablo CEU, Urbanización Montepríncipe, Boadilla del Monte, 28660 Madrid, Spain
| | - Mejías
- Facultad de Ciencias Experimentales, Carretera de Utrera, Km 1, Universidad Pablo de Olavide, 41013 Seville, Spain; Departamento Química Física, Facultad de Ciencias Químicas, Universidad Complutense, 28040 Madrid, Spain; and Departamento Ciencias Básicas, Facultad de Ciencias Experimentales y Técnicas, Universidad San Pablo CEU, Urbanización Montepríncipe, Boadilla del Monte, 28660 Madrid, Spain
| | - J. Tortajada
- Facultad de Ciencias Experimentales, Carretera de Utrera, Km 1, Universidad Pablo de Olavide, 41013 Seville, Spain; Departamento Química Física, Facultad de Ciencias Químicas, Universidad Complutense, 28040 Madrid, Spain; and Departamento Ciencias Básicas, Facultad de Ciencias Experimentales y Técnicas, Universidad San Pablo CEU, Urbanización Montepríncipe, Boadilla del Monte, 28660 Madrid, Spain
| | - S. Lago
- Facultad de Ciencias Experimentales, Carretera de Utrera, Km 1, Universidad Pablo de Olavide, 41013 Seville, Spain; Departamento Química Física, Facultad de Ciencias Químicas, Universidad Complutense, 28040 Madrid, Spain; and Departamento Ciencias Básicas, Facultad de Ciencias Experimentales y Técnicas, Universidad San Pablo CEU, Urbanización Montepríncipe, Boadilla del Monte, 28660 Madrid, Spain
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