Soft core fluid in a quenched matrix of soft core particles: A mobile mixture in a model gel

Abstract

We present a density-functional study of a binary phase-separating mixture of soft core particles immersed in a random matrix of quenched soft core particles of larger size. This is a model for a binary polymer mixture immersed in a crosslinked rigid polymer network. Using the replica `trick' for quenched-annealed mixtures we derive an explicit density functional theory that treats the quenched species on the level of its one-body density distribution. The relation to a set of effective external potentials acting on the annealed components is discussed. We relate matrix-induced condensation in bulk to the behaviour of the mixture around a single large particle. The interfacial properties of the binary mixture at a surface of the quenched matrix display a rich interplay between capillary condensation inside the bulk matrix and wetting phenomena at the matrix surface.

arXiv comment20 pages, 5 figures. Accepted for Phys. Rev. E

References in corpus (13)

• Can Polymer Coils be modeled as "Soft Colloids"?
• Accurate effective pair potentials for polymer solutions
• Capillary condensation in disordered porous materials: hysteresis versus equilibrium behavior
• Mean Field Fluid Behavior of the Gaussian Core Model
• Fluid and solid phases of the Gaussian core model
• Soft Interaction Between Dissolved Dendrimers: Theory and Experiment
• How to derive and parameterize effective potentials in colloid-polymer mixtures
• Local mean-field study of capillary condensation in silica aerogels
• Adsorption hysteresis and capillary condensation in disordered porous solids: a density functional study
• Coarse-graining polymers as soft colloids
• Solvent mediated interactions close to fluid-fluid phase separation: microscopic treatment of bridging in a soft core fluid
• Replica Density Functional Study of One-Dimensional Hard Core Fluids in Porous Media
• Microscopic theory of solvent mediated long range forces: influence of wetting

Cited by in corpus (2)

• First-principles derivation of density functional formalism for quenched-annealed systems
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