Local mean-field study of capillary condensation in silica aerogels

Abstract

We apply local mean-field (i.e. density functional) theory to a lattice model of a fluid in contact with a dilute, disordered gel network. The gel structure is described by a diffusion-limited cluster aggregation model. We focus on the influence of porosity on both the hysteretic and the equilibrium behavior of the fluid as one varies the chemical potential at low temperature. We show that the shape of the hysteresis loop changes from smooth to rectangular as the porosity increases and that this change is associated to disorder-induced out-of-equilibrium phase transitions that differ on adsorption and on desorption. Our results provide insight in the behavior of ${}^4$He in silica aerogels.

arXiv comment19 figures

References in corpus (14)

• Hysteresis and hierarchies: dynamics of disorder-driven first-order phase transformations
• Capillary condensation in disordered porous materials: hysteresis versus equilibrium behavior
• Avalanches, Barkhausen Noise, and Plain Old Criticality
• Hysteresis, Avalanches, and Disorder Induced Critical Scaling: A Renormalization Group Approach
• Disorder-Induced Critical Phenomena in Hysteresis: Numerical Scaling in Three and Higher Dimensions
• Critical behavior of a fluid in a disordered porous matrix: An Ornstein-Zernike approach
• Finite Size Scaling analysis of the avalanches in the 3d Gaussian Random Field Ising Model with metastable dynamics
• Nonuniversal scaling behavior of Barkhausen noise
• Morphology transitions in three-dimensional domain growth with Gaussian random fields
• Percolation, depinning, and avalanches in capillary condensation of gases in disordered porous solids
• Disorder induced critical phenomena in magnetically glassy Cu-Al-Mn alloys
• Adsorption of a fluid in an aerogel: integral equation approach
• Universal Behaviour of the Superfluid Fraction and Tc of He-3 in 99.5% Open Aerogel
• New universality class for the three-dimensional XY model with correlated impurities: Application to ${}^4$He in aerogels

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• Capillary condensation in one-dimensional irregular confinement
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