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Molecular Physics
An International Journal at the Interface Between Chemistry and Physics
Volume 67, 1989 - Issue 4
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Original Articles

Application of the Gibbs ensemble to the study of fluid-fluid phase equilibrium in a binary mixture of symmetric non-additive hard spheres

Jacques G. Amar Thermophysics Division, Physics-A105, National Bureau of Standards, Gaithersburg, Maryland, 20899, U.S.A.; Department of Physics, Emory University, Atlanta, Georgia, 30322, U.S.A.
Pages 739-745 | Received 27 Sep 1988, Accepted 24 Jan 1989, Published online: 23 Aug 2006

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Bina Kumari, Pradipta Bandyopadhyay & Subir K. Sarkar. (2020) Optimising the parameters of the Gibbs Ensemble Monte Carlo simulation of phase separation: the role of multiple relaxation times. Molecular Simulation 46:8, pages 616-626.
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Per SillrÉn & Jean-Pierre Hansen. (2007) Pertubation theory for systems with strong short-ranged interactions. Molecular Physics 105:13-14, pages 1803-1811.
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E. ENCISO & N.G. ALMARZA. (1998) Thermodynamics of complex hard body fluids. Molecular Physics 95:3, pages 635-643.
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By ESAM Z. HAMAD. (1997) RESEARCH NOTE Simulation and model testing of size asymmetric non-additive hard spheres. Molecular Physics 91:2, pages 371-376.
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By M. J. VLOT, S. CLAASSEN, H. E. A. HUITEMA & J. P. VAN DER EERDEN. (1997) Monte Carlo simulations of racemic liquid mixtures: thermodynamic properties and local structure. Molecular Physics 91:1, pages 19-30.
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A. ACHAHBAR, P.L. GARRIDO & J. MARRO. (1996) On the equilibrium and time relaxation of a lattice gas in several boxes. Molecular Physics 88:5, pages 1157-1171.
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W.T. Góźdź, K.E. Gubbins & A.Z. Panagiotopoulos. (1995) Liquid-liquid phase transitions in pores. Molecular Physics 84:5, pages 825-834.
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Domenico Gazzillo. (1995) Stability of fluids with more than two components. Molecular Physics 84:2, pages 303-323.
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GirijaS. Dubey, SeamusF. O'Shea & PeterA. Monson. (1993) Vapour-liquid equilibria for two centre Lennard-Jones diatomics and dipolar diatomics. Molecular Physics 80:4, pages 997-1007.
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M.E. Van Leeuwen, B. Smit & E.M. Hendriks. (1993) Vapour-liquid equilibria of stockmayer fluids. Molecular Physics 78:2, pages 271-283.
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AthanassiosZ. Panagiotopoulos. (1992) Direct Determination of Fluid Phase Equilibria by Simulation in the Gibbs Ensemble: A Review. Molecular Simulation 9:1, pages 1-23.
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Liwen Zhang, Yuhong Yang, Kun Yin & Yun Liu. (2023) A review of GEMC method and its improved algorithms. Acta Geochimica 42:3, pages 409-434.
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. 2023. Understanding Molecular Simulation. Understanding Molecular Simulation 657 694 .
Daan Frenkel & Berend Smit. 2023. Understanding Molecular Simulation. Understanding Molecular Simulation 181 232 .
W. T. Góźdź. (2017) Investigation of Fluid–Fluid and Solid–Solid Phase Separation of Symmetric Nonadditive Hard Spheres at High Density. Langmuir 33:42, pages 11727-11732.
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Giuseppe Pellicane & Owen D. Pandaram. (2014) Gibbs ensemble Monte Carlo of nonadditive hard-sphere mixtures. The Journal of Chemical Physics 141:4.
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J Solana. 2013. Perturbation Theories for the Thermodynamic Properties of Fluids and Solids. Perturbation Theories for the Thermodynamic Properties of Fluids and Solids.
Jean-Pierre Hansen & Ian R. McDonald. 2013. Theory of Simple Liquids. Theory of Simple Liquids 149 202 .
Jean-Pierre Hansen & Ian R. McDonald. 2013. Theory of Simple Liquids. Theory of Simple Liquids 61 104 .
A. Ayadim & S. Amokrane. (2010) Binary Mixture of Nonadditive Hard Spheres Adsorbed in a Slit Pore: A Study of the Population Inversion by the Integral Equations Theory. The Journal of Physical Chemistry B 114:50, pages 16824-16831.
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C. Brunet, J. G. Malherbe & S. Amokrane. (2010) Binary mixture adsorbed in a slit pore: Field-induced population inversion near the bulk instability. Physical Review E 82:2.
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C. Brunet, J. G. Malherbe & S. Amokrane. (2009) Controlling the composition of a confined fluid by an electric field. The Journal of Chemical Physics 131:22.
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Felipe Jiménez-Ángeles, Yurko Duda, Gerardo Odriozola & Marcelo Lozada-Cassou. (2008) Population Inversion of a NAHS Mixture Adsorbed into a Cylindrical Pore. The Journal of Physical Chemistry C 112:46, pages 18028-18033.
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Patrice Paricaud. (2008) Phase equilibria in polydisperse nonadditive hard-sphere systems. Physical Review E 78:2.
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Lizette González-Lee, Julio C. Armas, Jorge Peón & Jacqueline Quintana-H. (2008) Two-dimensional chiral segregation of the bent hard needles model with Lennard-Jones sites. Physica A: Statistical Mechanics and its Applications 387:1, pages 145-158.
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A. O. Malakhov & V. V. Volkov. (2007) Phase behavior of polymer mixtures with nonadditive hard-sphere potential. Polymer Science Series A 49:6, pages 745-756.
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G. Pellicane, C. Caccamo, P. V. Giaquinta & F. Saija. (2007) Virial Coefficients and Demixing of Athermal Nonadditive Mixtures. The Journal of Physical Chemistry B 111:17, pages 4503-4509.
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Kamakshi Jagannathan, Govardhan Reddy & Arun Yethiraj. (2004) Integral Equation Theory for Symmetric Nonadditive Hard Sphere Mixtures. The Journal of Physical Chemistry B 109:14, pages 6764-6768.
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A. Santos, M. López de Haro & S. B. Yuste. (2005) Equation of state of nonadditive d-dimensional hard-sphere mixtures. The Journal of Chemical Physics 122:2.
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Raúl A. Perusquı́a, Jorge Peón & Jacqueline Quintana. (2005) Two-dimensional model for mixtures of enantiomers, bent hard needles: a Monte Carlo simulation. Physica A: Statistical Mechanics and its Applications 345:1-2, pages 130-142.
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Y. Duda, O. Pizio & S. Sokolowski. (2004) Nonadditive Binary Hard Sphere Mixture in Disordered Hard Sphere Matrices:  Integral Equations and Computer Simulation. The Journal of Physical Chemistry B 108:50, pages 19442-19450.
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Basel F. Abu-Sharkh, Abdallah Sunaidi & Esam Z. Hamad. (2004) Thermodynamic perturbation theory for fused sphere hard chain fluids using nonadditive interactions. The Journal of Chemical Physics 120:12, pages 5795-5801.
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Abdullah Alsunaidi & Basel F. Abu-Sharkh. (2003) Influence of monomer sequence on microstructure of nonadditive hard chain copolymers: Simulation and equation of state. The Journal of Chemical Physics 119:18, pages 9894-9902.
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W. T. Góźdź. (2003) Critical-point and coexistence curve properties of a symmetric mixture of nonadditive hard spheres: A finite size scaling study. The Journal of Chemical Physics 119:6, pages 3309-3315.
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Subir K. Das, Jürgen Horbach & Kurt Binder. (2003) Transport phenomena and microscopic structure in partially miscible binary fluids: A simulation study of the symmetrical Lennard-Jones mixture. The Journal of Chemical Physics 119:3, pages 1547-1558.
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Kamakshi Jagannathan & Arun Yethiraj. (2003) Monte Carlo simulations for the phase behavior of symmetric nonadditive hard sphere mixtures. The Journal of Chemical Physics 118:17, pages 7907-7911.
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Yurko Duda, Eduard Vakarin & José Alejandre. (2003) Stability and interfacial properties of confined nonadditive hard-sphere binary mixture. Journal of Colloid and Interface Science 258:1, pages 10-19.
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F. Saija & P. V. Giaquinta. (2002) Entropy and Fluid−Fluid Separation in Nonadditive Hard-Sphere Mixtures:  The Asymmetric Case. The Journal of Physical Chemistry B 106:8, pages 2035-2040.
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. 2002. Understanding Molecular Simulation. Understanding Molecular Simulation 589 617 .
Basel F Abu-Sharkh. (2001) Simulation and model development for the equation of state of self assembling non-additive hard chain–hard monomer mixture. Fluid Phase Equilibria 180:1-2, pages 87-101.
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Oscar Sierra & Yurko Duda. (2001) Fluid–fluid phase equilibria in disordered porous media. Nonadditive hard sphere mixture. Physics Letters A 280:3, pages 146-152.
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Basel F. Abu-Sharkh. (2000) Equation of State and Phase Separation in Binary Mixtures of Nonadditive Chains. Macromolecules 33:25, pages 9437-9443.
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Basel F. Abu-Sharkh & Esam Z. Hamad. (2000) Simulation and Model Development for the Equation of State of Self-Assembling Nonadditive Hard Chains. Macromolecules 33:4, pages 1345-1350.
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Mohammed Al-Naafa, Jibril B. El-Yakubu & Esam Z. Hamad. (1999) Modeling and simulation of equation of state for nonadditive hard disk mixtures. Fluid Phase Equilibria 154:1, pages 33-47.
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F. SaijaG. PastoreP. V. Giaquinta. (1998) Entropy and Fluid−Fluid Separation in Nonadditive Hard-Sphere Mixtures. The Journal of Physical Chemistry B 102:50, pages 10368-10371.
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C. Caccamo, D. Costa & G. Pellicane. (1998) A comprehensive study of the phase diagram of symmetrical hard-core Yukawa mixtures. The Journal of Chemical Physics 109:11, pages 4498-4507.
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F. Saija, G. Fiumara & P. V. Giaquinta. (1998) Virial expansion of a non-additive hard-sphere mixture. The Journal of Chemical Physics 108:21, pages 9098-9101.
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M. -O. Ihm, F. Schneider & P. Nielaba. (1997) Phase transitions in nonadditive hard disc systems: a Gibbs ensemble Monte Carlo Study. Progress in Colloid & Polymer Science 104:1, pages 166-167.
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Esam Z. Hamad. (1997) Closures for exact relations between mixture pair correlation integrals. The Journal of Chemical Physics 107:17, pages 6877-6886.
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Enrique de Miguel & Margarida M. Telo da Gama. (1997) Phase equilibria of model ternary mixtures: Theory and computer simulation. The Journal of Chemical Physics 107:16, pages 6366-6378.
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Thierry Biben & Jean-Pierre Hansen. (1997) Osmotic depletion, non-additivity and phase separation. Physica A: Statistical Mechanics and its Applications 235:1-2, pages 142-148.
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M. -O. Ihm, F. Schneider & P. Nielaba. 1997. Optical Methods and Physics of Colloidal Dispersions. Optical Methods and Physics of Colloidal Dispersions 166 167 .
C. Caccamo. (1996) Integral equation theory description of phase equilibria in classical fluids. Physics Reports 274:1-2, pages 1-105.
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Esam Z. Hamad. (1996) Contact pair correlation functions and equation of state for nonadditive hard-sphere mixtures. The Journal of Chemical Physics 105:8, pages 3222-3228.
Crossref
E. Lomba, M. Alvarez, L. L. Lee & N. G. Almarza. (1996) Phase stability of binary non-additive hard-sphere mixtures: A self-consistent integral equation study. The Journal of Chemical Physics 104:11, pages 4180-4188.
Crossref
Dezső Boda, Balázs Kalmár, János Liszi & István Szalai. (1996) Fluid–fluid equilibrium of a mixture of non-polar and dipolar hard spheres in an applied field. J. Chem. Soc., Faraday Trans. 92:15, pages 2709-2714.
Crossref
Jinkyung Jung, Mu Shik Jhon & Francis H. Ree. (1995) Fluid–fluid phase separations in nonadditive hard sphere mixtures. The Journal of Chemical Physics 102:3, pages 1349-1360.
Crossref
H.M. Schaink. (1994) A molecular dynamics study of a three component mixture of hard spheres with negative non-additive interactions. Physica A: Statistical Mechanics and its Applications 210:1-2, pages 113-126.
Crossref
Aikaterini M. Georgoulaki, loannis V. Ntouros, Dimitrios P. Tassios & Athanassios Z. Panagiotopoulos. (1994) Phase equilibria of binary Lennard-Jones mixtures: simulation and van der Waals l-fluid theory. Fluid Phase Equilibria 100, pages 153-170.
Crossref
Jinkyung Jung, Mu Shik Jhon & Francis H. Ree. (1994) An analytic equation of state and structural properties of nonadditive hard sphere mixtures. The Journal of Chemical Physics 100:12, pages 9064-9074.
Crossref
M Rovere & G Pastore. (1994) Fluid-fluid phase separation in binary mixtures of asymmetric non-additive hard spheres. Journal of Physics: Condensed Matter 6:23A, pages A163-A166.
Crossref
Girija S. Dubey & Seamus F. O’Shea. (1994) Phase equilibria of Lennard-Jones dipolar plus quadrupolar fluids by Gibbs-ensemble Monte Carlo simulation. Physical Review E 49:3, pages 2175-2183.
Crossref
Jinkyung Jung, Mushik Jhon & Francis H. Ree. (1994) Homo- and heterocoordination in nonadditive hard-sphere mixtures and a test of the van der Waals one-fluid model. The Journal of Chemical Physics 100:1, pages 528-531.
Crossref
F. Schneider, M.-O. Ihm & P. Nielaba. 1994. Computer Simulation Studies in Condensed-Matter Physics VII. Computer Simulation Studies in Condensed-Matter Physics VII 188 192 .
B. Smit. 1993. Computer Simulation in Chemical Physics. Computer Simulation in Chemical Physics 173 209 .
H. M. Schaink & C. Hoheisel. (1992) The phase-behavior of Lennard-Jones mixtures with nonadditive hard cores: Comparison between molecular dynamic calculations and perturbation theory. The Journal of Chemical Physics 97:11, pages 8561-8567.
Crossref
Lourdes Vega, Enrique de Miguel, Luis F. Rull, George Jackson & Ian A. McLure. (1992) Phase equilibria and critical behavior of square-well fluids of variable width by Gibbs ensemble Monte Carlo simulation. The Journal of Chemical Physics 96:3, pages 2296-2305.
Crossref
M Rovere & G Pastore. (1992) Phase equilibrium in liquid binary mixtures of non-additive hard spheres. Physica Scripta T45, pages 251-252.
Crossref
P. Mark Rodger. 1992. Spectroscopic and Computational Studies of Supramolecular Systems. Spectroscopic and Computational Studies of Supramolecular Systems 239 267 .
Dominique Levesque & Jean Jarques Weis. 1992. The Monte Carlo Method in Condensed Matter Physics. The Monte Carlo Method in Condensed Matter Physics 121 204 .
Dominique Levesque & Jean Jacques Weis. 1995. The Monte Carlo Method in Condensed Matter Physics. The Monte Carlo Method in Condensed Matter Physics 121 204 .
H. Karaaslan & E. Yurtsever. (1991) Monte Carlo studies of binary mixtures: A fast algorithm for equilibration. Chemical Physics Letters 187:1-2, pages 8-12.
Crossref
Domenico Gazzillo. (1991) Fluid–fluid phase separation of nonadditive hard-sphere mixtures as predicted by integral-equation theories. The Journal of Chemical Physics 95:6, pages 4565-4579.
Crossref
Raymond D. Mountain & Allan H. Harvey. (1991) Computer simulation of fluid–fluid phase coexistence in mixtures of nonadditive soft disks. The Journal of Chemical Physics 94:3, pages 2238-2243.
Crossref
John P. Valleau. 1991. Computer Simulation in Materials Science. Computer Simulation in Materials Science 67 84 .
R. M. Mazo & R. J. Bearman. (1990) Scaled particle theory for mixtures of nonadditive hard disks or hard spheres: An alternative scaling. The Journal of Chemical Physics 93:9, pages 6694-6698.
Crossref
M. R. Stapleton & A. Z. Panagiotopoulos. (1990) Application of excluded volume map sampling to phase equilibrium calculations in the Gibbs ensemble. The Journal of Chemical Physics 92:2, pages 1285-1293.
Crossref

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