51
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Vörtler HL, Smith WR. Computer simulation studies of a square-well fluid in a slit pore. Spreading pressure and vapor–liquid phase equilibria using the virtual-parameter-variation method. J Chem Phys 2000. [DOI: 10.1063/1.481072] [Citation(s) in RCA: 47] [Impact Index Per Article: 2.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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52
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Zhang L, Van Tassel PR. Theory and simulation of adsorption in a templated porous material: Hard sphere systems. J Chem Phys 2000. [DOI: 10.1063/1.480874] [Citation(s) in RCA: 41] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
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53
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Capillary Condensation and Hysteresis in Disordered Porous Materials. ACTA ACUST UNITED AC 2000. [DOI: 10.1016/s0167-2991(00)80005-1] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 04/12/2023]
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54
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Alvarez M, Levesque D, Weis JJ. Monte Carlo approach to the gas-liquid transition in porous materials. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1999; 60:5495-504. [PMID: 11970424 DOI: 10.1103/physreve.60.5495] [Citation(s) in RCA: 45] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/01/1999] [Indexed: 04/18/2023]
Abstract
The gas-liquid transition of a "quenched-annealed"(QA) system is studied by grand-canonical Monte Carlo simulation. The "quenched" particles are hard spheres within configurations chosen randomly from those of an equilibrium hard-sphere system at given density. The fluid particles interact with the matrix particles by a hard-core potential and with each other by a hard-core potential and an additional potential of a Lennard-Jones type. Our results are in good qualitative agreement with various theoretical approaches. With increasing matrix density the critical temperature is lowered compared to that of the bulk system and the gap between the gas and liquid densities narrowed. Our simulations confirm, for this QA system, the possibility of two fluid-fluid transitions substituting for the unique gas-liquid transition of the bulk system. They demonstrate the necessity to average over a significant number of matrix realizations in order to obtain a quantitative location of the phase coexistence lines.
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Affiliation(s)
- M Alvarez
- Laboratoire de Physique Théorique, Bâtiment 210, Université de Paris-Sud, 91405 Orsay Cedex, France
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55
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Rzysko W, Pizio O, Sokolowski S, Sokolowska Z. Application of the Replica Ornstein-Zernike Equations to Study Submonolayer Adsorption on Energetically Heterogeneous Surfaces. J Colloid Interface Sci 1999; 219:184-189. [PMID: 10527586 DOI: 10.1006/jcis.1999.6459] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
Weapply the replica methodology and the replica Ornstein-Zernike equations to calculate adsorption isotherms on an energetically heterogeneous surface. The surface is modeled by quenching a two-dimensional "fluid of centers." After the quenching, we study gas adsorption using the replica Ornstein-Zernike equation with the hypernetted chain closure. The results of theoretical predictions are compared with the data obtained from the Grand Canonical Monte Carlo simulation, and the obtained agreement is satisfactory. Copyright 1999 Academic Press.
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Affiliation(s)
- W Rzysko
- Instituto de Química de la UNAM, Coyoacán, México D.F., 04510, Mexico
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56
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Van Tassel PR. Theoretical model of adsorption in a templated porous material. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1999; 60:R25-8. [PMID: 11969872 DOI: 10.1103/physreve.60.r25] [Citation(s) in RCA: 36] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 01/11/1999] [Indexed: 04/18/2023]
Abstract
We introduce a theoretical description of adsorption in a templated porous material modeled as a quenched binary mixture configuration with one component removed. Using tools from equilibrium statistical mechanics, we analyze the diagrammatic structure of and derive an approximate formula for this nonequilibrium material's porosity and Henry regime selectivity. We find that templating significantly increases the porosity as well as the selectivity for the larger component of a mixture.
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Affiliation(s)
- P R Van Tassel
- Department of Chemical Engineering and Materials Science, Wayne State University, Detroit, Michigan 48202, USA.
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57
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BRYK PAWEŁ, PATRYKIEJEW ANDRZEJ, RESZKO-ZYGMUNT JOANNA, SOKOŁOWSKI STEFAN. Phase behaviour of a Lennard-Jones fluid in a pore with permeable walls of a finite thickness: a density functional approach. Mol Phys 1999. [DOI: 10.1080/00268979909483093] [Citation(s) in RCA: 12] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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58
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Trokhymchuk A, Orozco GA, Pizio O, Vlachy V. Liquid-Vapor Coexistence in the Screened Coulomb (Yukawa) Hard Sphere Binary Mixture in Disordered Porous Media: The Mean Spherical Approximation. J Colloid Interface Sci 1998; 207:379-385. [PMID: 9792783 DOI: 10.1006/jcis.1998.5797] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/22/2022]
Abstract
The thermodynamics of a two-component fluid with a hard core interaction and screened Coulomb (Yukawa) interaction between particles, similar to the primitive model of an electrolyte solution, adsorbed in a disordered matrix of hard spheres, is studied by using replica Ornstein-Zernike integral equations and the mean spherical approximation (MSA). The gas-liquid transition is localized. The coexistence curve is investigated dependent on the range of interaction between fluid species, on matrix density, and on fluid-matrix attraction. We have observed shrinking of the coexistence envelope with increasing matrix density. The critical temperature of adsorbed mixture decreases with increasing matrix density. The critical density is less affected; however, it also decreases slightly. The critical temperature is sensitive to the fluid species-matrix attraction and depends nonmonotonously on their strength. For a given matrix microporosity, it increases slightly and then decreases with augmenting strength of fluid-matrix attraction. The critical density is less affected by this attraction. However, it decreases for the model with a sufficiently long-range tail of fluid-matrix attraction. Copyright 1998 Academic Press.
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Affiliation(s)
- A Trokhymchuk
- Instituto de Química de la UNAM, Coyoacán, D.F., 04510, Mexico
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59
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PADILLA PAZ, VEGA CARLOS, PIZIO OREST, TROKHYMCHUK ANDRIJ. The structure and adsorption of diatomic fluids in disordered porous media. A Monte Carlo simulation study. Mol Phys 1998. [DOI: 10.1080/00268979809483204] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/20/2022]
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60
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Trokhymchuk A, Sokołowski S. Phase coexistence and interface structure of a Lennard-Jones fluid in porous media. Application of Born–Green–Yvon equation. J Chem Phys 1998. [DOI: 10.1063/1.477117] [Citation(s) in RCA: 15] [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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61
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Duda Y, Sokolowski S, Bryk P, Pizio O. Structure and Adsorption of a Hard Sphere Fluid in a Cylindrical and Spherical Pore Filled by a Disordered Matrix: A Monte Carlo Study. J Phys Chem B 1998. [DOI: 10.1021/jp9811272] [Citation(s) in RCA: 7] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Y. Duda
- Instituto de Quimica de la UNAM, Coyoacán 04510, México D.F., Mexico, and Department of Modelling of Physico-Chemical Processes, Marie Curie-Sklodowska University, Lublin 200-31, Poland
| | - S. Sokolowski
- Instituto de Quimica de la UNAM, Coyoacán 04510, México D.F., Mexico, and Department of Modelling of Physico-Chemical Processes, Marie Curie-Sklodowska University, Lublin 200-31, Poland
| | - P. Bryk
- Instituto de Quimica de la UNAM, Coyoacán 04510, México D.F., Mexico, and Department of Modelling of Physico-Chemical Processes, Marie Curie-Sklodowska University, Lublin 200-31, Poland
| | - O. Pizio
- Instituto de Quimica de la UNAM, Coyoacán 04510, México D.F., Mexico, and Department of Modelling of Physico-Chemical Processes, Marie Curie-Sklodowska University, Lublin 200-31, Poland
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62
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Kovalenko A, Pizio O. The structure and adsorption of the four bonding sites model for associating fluids in disordered porous media from replica Ornstein–Zernike integral equation theory. J Chem Phys 1998. [DOI: 10.1063/1.476295] [Citation(s) in RCA: 17] [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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63
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Pizio O, Duda Y, Trokhymchuk A, Sokolowski S. Associative replica Ornstein-Zernike equations and the structure of chemically associating fluids in disordered porous media. J Mol Liq 1998. [DOI: 10.1016/s0167-7322(98)00062-2] [Citation(s) in RCA: 8] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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64
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Padilla P, Pizio O, Trokhymchuk A, Vega C. Adsorption of Dimerizing and Dimer Fluids in Disordered Porous Media. J Phys Chem B 1998. [DOI: 10.1021/jp973455s] [Citation(s) in RCA: 16] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/30/2022]
Affiliation(s)
- Paz Padilla
- Chemistry Laboratory III, HC Orsted Institute, Universitetparken 5, DE-2100, Copenhagen, Denmark
| | - Orest Pizio
- Instituto de Química de la UNAM, Circuito Exterior, Coyoacán 04510, México D.F
| | - Andrij Trokhymchuk
- Instituto de Química de la UNAM, Circuito Exterior, Coyoacán 04510, México D.F
| | - Carlos Vega
- Departmento de Quimica, Facultad de Ciencias Quimicas, Universidad Complutense, 28040 Madrid, Spain
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65
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Duda Y, Henderson D, Pizio O, Wasan D. Replica Ornstein−Zernike Equations and Simulations of the Structure of a Simple Fluid in Disordered Porous Media. Application to Monomolecular Adsorption. J Phys Chem B 1998. [DOI: 10.1021/jp972963z] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Yu. Duda
- Instituto de Química de la UNAM, Coyoacán 04510, México D. F., Department of Chemistry and Biochemistry, Brigham Young University, Provo, Utah 84602, and Illinois Institute of Technology, Chicago, Illinois 60616
| | - D. Henderson
- Instituto de Química de la UNAM, Coyoacán 04510, México D. F., Department of Chemistry and Biochemistry, Brigham Young University, Provo, Utah 84602, and Illinois Institute of Technology, Chicago, Illinois 60616
| | - O. Pizio
- Instituto de Química de la UNAM, Coyoacán 04510, México D. F., Department of Chemistry and Biochemistry, Brigham Young University, Provo, Utah 84602, and Illinois Institute of Technology, Chicago, Illinois 60616
| | - D. Wasan
- Instituto de Química de la UNAM, Coyoacán 04510, México D. F., Department of Chemistry and Biochemistry, Brigham Young University, Provo, Utah 84602, and Illinois Institute of Technology, Chicago, Illinois 60616
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66
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Pizio O, Trokhymchuk A, Henderson D, Labik S. Adsorption of a Hard Sphere Fluid in a Disordered Polymerized Matrix: Application of the Replica Ornstein-Zernike Equations. J Colloid Interface Sci 1997; 191:86-94. [PMID: 9241207 DOI: 10.1006/jcis.1997.4905] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 02/04/2023]
Abstract
A model of hard spheres adsorbed in disordered porous media is studied using the associative replica Ornstein-Zernike (ROZ) equations. Extending previous studies of adsorption in a hard sphere matrices, we investigate a polymerized matrix. We consider an associating fluid of hard spheres with two intracore attractive sites per particle; consequently chains consisting of overlapping hard spheres can be formed due to the chemical association. This is the generalization of the model with sites on the surface of Wertheim that has been studied in the bulk by Chang and Sandler. The matrix structure is obtained in the polymer Percus-Yevick approximation. We solve the ROZ equations in the associative hypernetted chain approximation. The pair distribution functions, the fluid compressibility, the equation of state and chemical potential of the adsorbed fluid are obtained and discussed. It is shown that the adsorption of a hard sphere fluid in a matrix at given density, but consisting of longer chains of overlapping hard spheres, is higher than the adsorption of this fluid in a hard sphere matrix.
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Affiliation(s)
- O Pizio
- Instituto de Quimica de la UNAM, Circuito Exterior, Coyoacan, D.F., 04510, Mexico
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67
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OROZCO GERARDOANGUIANO, PIZIO OREST, SOKOLOWSKI STEFAN, TROKHYMCHUK ANDRIJ. Replica Ornstein-Zernike theory for chemically associating fluids with directional forces in disordered porous media: Smith-Nezbeda model in a hard sphere matrix. Mol Phys 1997. [DOI: 10.1080/002689797171111] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/17/2022]
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68
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Kierlik E, Rosinberg ML, Tarjus G, Monson PA. Phase diagrams of single-component fluids in disordered porous materials: Predictions from integral-equation theory. J Chem Phys 1997. [DOI: 10.1063/1.474134] [Citation(s) in RCA: 100] [Impact Index Per Article: 3.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/15/2022] Open
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69
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Page KS, Monson PA. Monte Carlo calculations of phase diagrams for a fluid confined in a disordered porous material. PHYSICAL REVIEW. E, STATISTICAL PHYSICS, PLASMAS, FLUIDS, AND RELATED INTERDISCIPLINARY TOPICS 1996; 54:6557-6564. [PMID: 9965880 DOI: 10.1103/physreve.54.6557] [Citation(s) in RCA: 48] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/22/2023]
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