Statistical mechanics of homogeneous partly pinned fluid systems

Abstract

The homogeneous partly pinned fluid systems are simple models of a fluid confined in a disordered porous matrix obtained by arresting randomly chosen particles in a one-component bulk fluid or one of the two components of a binary mixture. In this paper, their configurational properties are investigated. It is shown that a peculiar complementarity exists between the mobile and immobile phases, which originates from the fact that the solid is prepared in presence of and in equilibrium with the adsorbed fluid. Simple identities follow, which connect different types of configurational averages, either relative to the fluid-matrix system or to the bulk fluid from which it is prepared. Crucial simplifications result for the computation of important structural quantities, both in computer simulations and in theoretical approaches. Finally, possible applications of the model in the field of dynamics in confinement or in strongly asymmetric mixtures are suggested.

12 pages, 2 figures

References in corpus (28)

• On the Adam-Gibbs-Wolynes scenario for the viscosity increase in glasses
• Thermodynamic signature of growing amorphous order in glass-forming liquids
• Capillary condensation in disordered porous materials: hysteresis versus equilibrium behavior
• Localization Transition of the Three-Dimensional Lorentz Model and Continuum Percolation
• Liquid-glass transition of a fluid confined in a disordered porous matrix: A mode-coupling theory
• A Double-Transition Scenario for Anomalous Diffusion in Glass-Forming Mixtures
• Mosaic multi-state scenario vs. one-state description of supercooled liquids
• Anomalous Dynamic Arrest in a Mixture of Big and Small Particles
• Mode-coupling theory for the slow collective dynamics of fluids adsorbed in disordered porous media
• Adsorption hysteresis and capillary condensation in disordered porous solids: a density functional study
• Single-particle and collective slow dynamics of colloids in porous confinement
• Slow dynamics in random media: Crossover from glass to localization transition
• Critical dynamics of ballistic and Brownian particles in a heterogeneous environment
• Tagged-particle dynamics in a fluid adsorbed in a disordered porous solid: interplay between the diffusion-localization and liquid-glass transitions
• Critical behavior of colloid-polymer mixtures in random porous media
• Cluster-resolved dynamic scaling theory and universal corrections for transport on percolating systems
• Percolation, depinning, and avalanches in capillary condensation of gases in disordered porous solids
• Slow dynamics of a confined supercooled binary mixture: direct space analysis
• Mode Coupling relaxation scenario in a confined glass former
• Adsorption of a fluid in an aerogel: integral equation approach
• Using Available Volume to Predict Fluid Diffusivity in Random Media
• Liquid-glass transition of confined fluids: Some insights from a mode-coupling theory
• Colloid-polymer mixtures in random porous media: Finite size scaling and connected versus disconnected susceptibilities
• First-principles derivation of density functional formalism for quenched-annealed systems
• Slow dynamics of a confined supercooled binary mixture II: Q space analysis
• Diffusion of Colloidal Fluids in Random Porous Media
• Concentration and mass dependence of transport coefficients and correlation functions in binary mixtures with high mass-asymmetry
• Mode coupling behavior of a Lennard Jones binary mixture: a comparison between bulk and confined phases

Cited by in corpus (20)

• Ideal Glass Transitions by Random Pinning
• Static point-to-set correlations in glass-forming liquids
• Probing a liquid to glass transition in equilibrium
• Geometrical Frustration and Static Correlations in Hard-Sphere Glass Formers
• Mode-coupling theory predictions for the dynamical transitions of the partly pinned fluid systems
• Random pinning in glassy spin models with plaquette interactions
• Equilibrium ultrastable glasses produced by random pinning
• Universality Classes of Critical Points in Constrained Glasses
• Dynamic arrest of colloids in porous environments: disentangling crowding and confinement
• Glassy dynamics of partially pinned fluids: an alternative mode-coupling approach
• Glassy Critical Points and Random Field Ising Model
• Investigating amorphous order in stable glasses by random pinning
• Persistent anti-correlations in Brownian dynamics simulations of dense colloidal suspensions revealed by noise suppression
• Exactly solvable spin-glass models with ferromagnetic couplings: the spherical multi-$p$-spin model in a self-induced field
• Simple physics of the partly pinned fluid systems
• Creating equilibrium glassy states via random particle bonding
• Specific heat anomaly in a supercooled liquid with amorphous boundary conditions
• Jammed solids with pins: Thresholds, Force networks and Elasticity
• How do packing defects modify the cooperative motions in supercooled liquids ?
• Computational Methods toward Ultrastable Glasses