Distribution functions for fluids in random media

Madden, William G.; Glandt, Eduardo D.

doi:10.1007/bf01028471

Cited by 268 publications

(253 citation statements)

References 13 publications

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“…For Van Tassel model of templated matrices, no analytical result has been found in the case that the matrix is built from a Widom-Rowlinson mixture. The integral-equation theory based on Ornstein-Zernike equations for the matrix models considered in the present paper is now available [1,[31][32][33]37]. The application of such a theoretical approach also requires approximate closures.…”

Section: Discussionmentioning

confidence: 99%

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Fluids confined in porous media: An ideal gas in different matrices

Dong¹

2007

Condens. Matter Phys.

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At present, a number of models are available describing the adsorption of a fluid in a random porous medium. In this paper, some exact and analytical results are presented. All the results are obtained for an ideal gas adsorbed in various porous matrices. It is shown that the calculations are not always trivial. In some cases of complicated matrices, it is impossible to obtain any analytical results even for an ideal gas.

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Section: Discussionmentioning

confidence: 99%

“…Much effort (both experimental and theoretical) has been devoted to the study of porous materials. In their pioneering work, Madden and Glandt proposed a very simple model for the fluid adsorption in random porous media [1]. A large number of investigations have been devoted to Madden-Glandt model .…”

Section: Introductionmentioning

confidence: 99%

Fluids confined in porous media: An ideal gas in different matrices

Dong¹

2007

Condens. Matter Phys.

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“…Important phenomena like wetting cannot nonetheless be reproduced by such model. A model of "quenchedannealed" binary mixture was first studied by Madden and Glandt 15 and then widely used in dealing with the * Author to whom correspondence should be addressed; e-mail: rovere@fis.uniroma3.it problem of fluids phase separation in porous materials. Following this model, several integral equation theories and computer simulation studies have been successively proposed, in which the porous material is described by a random matrix of spheres 16,17,18,19,20 .…”

Section: Introductionmentioning

confidence: 99%

Computer simulation of the phase diagram for a fluid confined in a fractal and disordered porous material

2004

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We present a grand canonical Monte Carlo simulation study of the phase diagram of a Lennard-Jones fluid adsorbed in a fractal and highly porous aerogel. The gel environment is generated from an off-lattice diffusion limited cluster-cluster aggregation process. Simulations have been performed with the multicanonical ensemble sampling technique. The biased sampling function has been obtained by histogram reweighting calculations. Comparing the confined and the bulk system liquid-vapor coexistence curves we observe a decrease of both the critical temperature and density in qualitative agreement with experiments and other Monte Carlo studies on Lennard-Jones fluids confined in random matrices of spheres. At variance with these numerical studies we do not observe upon confinement a peak on the liquid side of the coexistence curve associated with a liquid-liquid phase coexistence. In our case only a shouldering of the coexistence curve appears upon confinement. This shoulder can be associated with high density fluctuations in the liquid phase. The coexisting vapor and liquid phases in our system show a high degree of spatial disorder and inhomogeneity.

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“…In the last decades, new class of theories appeared in which the disordered porous materials filled with fluid are treated as partly quenched systems in which some of the degrees of freedom are quenched and others are annealed. The systems differ from regular mixtures; the statistical-mechanical average which is needed to obtain the free energy describing the confined fluid, becomes a double ensemble average [10][11][12][13][14][15][16][17]. The thermodynamic and structural properties of these systems can be calculated using the computer simulations and/or the replica integral equation theories.…”

Section: Introductionmentioning

confidence: 99%

Application of Replica Ornstein-Zernike equations in studies of the adsorption of electrolyte mixtures in disordered matrices of charged particles

Luksic¹,

Trefalt²,

Hribar-Lee³

2009

Condens. Matter Phys.

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The Replica Ornstein-Zernike (ROZ) equations were used to study the adsorption of ions from electrolyte mixtures. The adsorbent was represented as a quenched primitive model +1:−1 size symmetric electrolyte, while the mobile particles were ions differing in charge and/or size. The ROZ equations in hypernetted-chain (HNC) approximation were tested against new Monte Carlo results in the grand canonical ensemble; good agreement between the two methods was obtained. The ROZ/HNC theory was then used to study the exclusion coefficients as a function of size and/or charge asymmetry of the annealed ions.

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Distribution functions for fluids in random media

Cited by 268 publications

References 13 publications

Fluids confined in porous media: An ideal gas in different matrices

Fluids confined in porous media: An ideal gas in different matrices

Computer simulation of the phase diagram for a fluid confined in a fractal and disordered porous material

Application of Replica Ornstein-Zernike equations in studies of the adsorption of electrolyte mixtures in disordered matrices of charged particles

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