# Critical behavior of a fluid in a disordered porous matrix: An Ornstein-Zernike approach.

@article{Pitard1995CriticalBO, title={Critical behavior of a fluid in a disordered porous matrix: An Ornstein-Zernike approach.}, author={Pitard and Rosinberg and Stell and Tarjus}, journal={Physical review letters}, year={1995}, volume={74 22}, pages={ 4361-4364 } }

Using a liquid-state approach based on Ornstein-Zernike equations, we study the behavior of a fluid inside a porous disordered matrix near the liquid-gas critical point. The results obtained within various standard approximation schemes such as lowest-order $\ensuremath{\gamma}$ ordering and the mean-spherical approximation suggest that the critical behavior is closely related to that of the random-field Ising model.

## 51 Citations

Mean-spherical approximation for a lattice model of a fluid in a disordered matrix

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We study a quenched-annealed lattice gas model of a fluid in a disordered porous material. The formalism of liquid state statistical mechanics is applied together with the replica method to…

Phase diagrams of a fluid confined in a disordered porous material

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We present the calculation of phase diagrams for a single-component fluid adsorbed in disordered porous material using integral equation theories. The model consists of a Lennard-Jones 12 - 6 fluid…

Phase coexistence and interface structure of a two-component Lennard-Jones fluid in porous media: application of Born—Green—Yvon equation

- Chemistry
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The Born-Green-Yvon equation with smoothed density approximation is used to calculate the liquid-liquid density profiles of a symmetric Lennard-Jones fluid in a hard sphere disordered matrix. The…

Phase diagrams of single-component fluids in disordered porous materials: Predictions from integral-equation theory

- Physics
- 1997

We present the calculation of phase diagrams for fluids in disordered porous materials using theories based on the replica symmetric Ornstein–Zernike equations. We consider molecular models in which…

Hierarchical reference theory of critical fluids in disordered porous media

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- 2011

We consider the equilibrium behaviour of fluids imbibed in disordered mesoporous media, including their gas–liquid critical point when present. Our starting points are on the one hand a description…

Phase coexistence and interface structure of a Lennard-Jones fluid in porous media. Application of Born–Green–Yvon equation

- Physics
- 1998

The Born–Green–Yvon (BGY) equation with Fischer–Methfessel (FM) approximation is used to calculate the density profiles of the planar liquid–vapor interface of Lennard-Jones fluid in a hard-sphere…

Wetting and demixing in a binary liquid inside a disordered porous medium

- Materials Science
- 2001

We evaluate the structure taken by a liquid mixture inside a quenched disordered matrix of high porosity by a liquid-state formalism that encompasses the effects of confinement, wetting, and…

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- Chemistry, Physics
- 2001

We present a theoretical study of the phase diagram and the structure of a fluid adsorbed in high-porosity aerogels by means of an integral-equation approach combined with the replica formalism. To…

Integral equation study of a Stockmayer fluid adsorbed in polar disordered matrices.

- Chemistry, MedicineThe Journal of chemical physics
- 2004

The anisotropic nature of the dipolar (fm) interactions turns out to play a more dominant role at high fluid densities where a pronounced sensitivity in the dielectric constant and a strong degree of local orientational ordering of the fluid particles along the local fields generated by the matrix are observed.

Associative replica Ornstein-Zernike equations and the structure of chemically associating fluids in disordered porous media

- Chemistry
- 1998

Abstract A two-dimensional model for a chemically associating fluid adsorbed in a disordered porous media has been investigated. The model is studied by means of the associative Replica…