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

TL;DR

This study uses Ornstein-Zernike equations to analyze the critical behavior of a fluid in a disordered porous matrix, revealing its relation to the random-field Ising model and employing standard approximation schemes.

Contribution

It introduces an Ornstein-Zernike based approach to understand fluid criticality in disordered matrices, connecting it with RFIM universality.

Findings

Critical behavior resembles that of the RFIM.

Standard approximations suggest similar universality class.

Fluid in disordered matrix exhibits RFIM-like criticality.

Abstract

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 $\gamma$-ordering and the mean-spherical approximation suggest that the critical behavior is closely related to that of the random-field Ising model (RFIM).