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We study the interplay between hysteresis and equilibrium behavior in capillary condensation of fluids in mesoporous disordered materials via a mean-field density functional theory of a disordered lattice-gas model. The approach reproduces…

无序系统与神经网络 · 物理学 2009-11-07 E. Kierlik , P. A. Monson , M. L. Rosinberg , L. Sarkisov , G. Tarjus

We propose a comprehensive theoretical description of hysteresis in capillary condensation of gases in mesoporous disordered materials. Applying mean-field density functional theory to a coarse-grained lattice-gas model, we show that the…

无序系统与神经网络 · 物理学 2009-11-07 M. L. Rosinberg , E. Kierlik , G. Tarjus

A lattice-gas model with heterogeneity is developed for the description of fluid condensation in finite sized one-dimensional pores of arbitrary shape. An exact solution of the model is presented for zero-temperature that reproduces the…

统计力学 · 物理学 2013-08-09 Thomas P. Handford , Francisco J. Perez-Reche , Sergei N. Taraskin

Continuum models of porous media use macroscopic parameters and state variables to capture essential features of pore-scale physics. We propose a macroscopic property "accessivity" ($\alpha$) to characterize the network connectivity of…

软凝聚态物质 · 物理学 2018-10-03 Zongyu Gu , Martin Z. Bazant

The Derjaguin - Broekhoff - de Boer theory of capillary condensation is employed to describe deformation of mesoporous solids in the course of adsorption-desorption hysteretic cycles. We suggest a thermodynamic model, which relates the…

化学物理 · 物理学 2010-07-20 Gennady Yu. Gor , Alexander V. Neimark

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…

无序系统与神经网络 · 物理学 2009-11-10 F. Detcheverry , E. Kierlik , M. L. Rosinberg , G. Tarjus

The lattice gas model of condensation in a heterogeneous pore system, represented by a random graph of cells, is studied using an exact analytical solution. A binary mixture of pore cells with different coordination numbers is shown to…

We review here the physics of capillary condensation of liquids in confined media, with a special regard to the application in nanotechnologies. The thermodynamics of capillary condensation and thin film adsorption are first exposed along…

流体动力学 · 物理学 2009-10-27 Elisabeth Charlaix , Matteo Ciccotti

The phase transition of a fluid adsorbed in a heterogeneous system is studied with two simple lattice gas models within the framework of a mean-field theory. Despite the different origin of the heterogeneity (spatial variation of binding…

统计力学 · 物理学 2007-05-23 E. V. Vakarin , W. Dong , J. P. Badiali

When two solid surfaces are brought in contact, water vapor present in the ambient air may condense in the region of the contact to form a liquid bridge connecting the two surfaces : this is the so-called capillary condensation. This…

软凝聚态物质 · 物理学 2007-05-23 F. Restagno , L. Bocquet , J. Crassous , E. Charlaix

Hysteresis in the relation between the capillary pressure and the moisture content in unsaturated porous media, which is due to surface tension at the liquid-gas interface, exhibits strong degeneracy in the resulting mass balance equation.…

偏微分方程分析 · 数学 2025-01-07 Chiara Gavioli , Pavel Krejčí

Several recent imaging experiments access the equilibrium density profiles of interacting particles confined to a two-dimensional substrate. When these particles are in a fluid phase, we show that such data yields precise information…

无序系统与神经网络 · 物理学 2016-08-31 Ankush Sengupta , Surajit Sengupta , Gautam I. Menon

The sorption-desorption hysteresis observed in many nanoporous solids, at vapor pressures low enough for the the liquid (capillary) phase of the adsorbate to be absent, has long been vaguely attributed to changes in the nanopore structure,…

流体动力学 · 物理学 2015-05-30 Zdenek P. Bazant , Martin Z. Bazant

A simple fluid, in a microscopic capillary capped at one end, is studied by means of fundamental measure density functional. The model represents a single, infinitely long nanogroove with long-range wall-fluid attractive (dispersion)…

介观与纳米尺度物理 · 物理学 2012-12-18 Alexandr Malijevsky

A PDE system consisting of the momentum balance, mass balance, and energy balance equations for displacement, capillary pressure, and temperature as a model for unsaturated fluid flow in a porous viscoelastoplastic solid is shown to admit a…

偏微分方程分析 · 数学 2016-06-29 Bettina Albers , Pavel Krejci , Elisabetta Rocca

The established macroscopic equations of motion for two phase immiscible displacement in porous media are known to be physically incomplete because they do not contain the surface tension and surface areas governing capillary phenomena.…

材料科学 · 物理学 2009-10-31 R. Hilfer

The dynamics of saturated vapor between two intersecting walls is examined. It is shown that, if the angle $\phi$ between the walls is sufficiently small, the vapor becomes unstable, and spontaneous condensation occurs in the corner,…

软凝聚态物质 · 物理学 2022-06-15 E. S. Benilov

We report a new first-order phase transition preceding capillary condensation and corresponding to the discontinuous formation of a curved liquid meniscus. Using a mean-field microscopic approach based on the density functional theory we…

软凝聚态物质 · 物理学 2015-03-13 Petr Yatsyshin , Nikos Savva , Serafim Kalliadasis

Using grand canonical Monte Carlo simulations, we have explored the phenomenon of capillary condensation (CC) of Ar at the triple temperature inside infinitely long, cylindrical pores. Pores of radius R= 1 nm, 1.7 nm and 2.5 nm have been…

材料科学 · 物理学 2009-11-11 Silvina M. Gatica , Milton W. Cole

We propose a self-consistent model taking into account variations in adsorption properties of the adsorbent surface in the process of adsorption--desorption of molecules of gas on it. We introduce a dimensionless coupling parameter that…

材料科学 · 物理学 2009-11-30 A. S. Usenko
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