Effects of Pore Walls and Randomness on Phase Transitions in Porous Media

Abstract

We study spin models within the mean field approximation to elucidate the topology of the phase diagrams of systems modeling the liquid-vapor transition and the separation of He${}^3$--He${}^4$ mixtures in periodic porous media. These topologies are found to be identical to those of the corresponding random field and random anisotropy spin systems with a bimodal distribution of the randomness. Our results suggest that the presence of walls (periodic or otherwise) are a key factor determining the nature of the phase diagram in porous media.

arXiv commentREVTeX, 11 eps figures, to appear in Phys. Rev. E

References in corpus (6)

• Capillary condensation in disordered porous materials: hysteresis versus equilibrium behavior
• Universality in Three Dimensional Random-Field Ground States
• The 3-d Random Field Ising Model at zero temperature
• Exact Ground State Properties of Disordered Ising-Systems
• Scaling of the Random-Field Ising Model at Zero Temperature
• Ground state non-universality in the random field Ising model

Cited by in corpus (3)

• Computer simulation of the phase diagram for a fluid confined in a fractal and disordered porous material
• Exact and Monte Carlo study of adsorption of a self-interacting polymer chain for a family of three-dimensional fractals
• Liquid-liquid coexistence in the phase diagram of a fluid confined in fractal porous materials