Colloid-polymer mixtures in random porous media: Finite size scaling and connected versus disconnected susceptibilities

Abstract

As a generic model for liquid-vapour type transitions in random porous media, the Asakura-Oosawa model for colloid-polymer mixtures is studied in a matrix of quenched spheres using extensive Monte Carlo (MC) simulations. Since such systems at criticality, as well as in the two-phase region, exhibit lack of self-averaging, the analysis of MC data via finite size scaling requires special care. After presenting the necessary theoretical background and the resulting subtleties of finite size scaling in random-field Ising-type systems, we present data on the order parameter distribution (and its moments) as a function of colloid and polymer fugacities for a broad range of system sizes, and for many (thousands) realizations of the porous medium. Special attention is paid to the connected and disconnected susceptibilities, and their respective critical behavior. We show that both susceptibilities diverge at the critical point, and we demonstrate that this is compatible with the predicted scenario of random-field Ising universality.

arXiv comment24 pages, CODEF II conference proceedings paper, Bonn, Germany (2008)

References in corpus (14)

• Universality class of criticality in the restricted primitive model electrolyte
• Critical Behavior of the 3d Random Field Ising Model: Two-Exponent Scaling or First Order Phase Transition?
• Precise determination of critical exponents and equation of state by field theory methods
• Lack of Self-Averaging in Critical Disordered Systems
• Self-Averaging, Distribution of Pseudo-Critical Temperatures and Finite Size Scaling in Critical Disordered Systems
• The fluid-fluid interface in a model colloid-polymer mixture: Application of grand canonical Monte Carlo to asymmetric binary mixtures
• Adsorption hysteresis and capillary condensation in disordered porous solids: a density functional study
• Monte Carlo study of the random-field Ising model
• Glassy transition in the three-dimensional random field Ising model
• Critical phenomena in colloid-polymer mixtures: interfacial tension, order parameter, susceptibility and coexistence diameter
• Critical behavior of colloid-polymer mixtures in random porous media
• Critical behavior of a colloid-polymer mixture confined between walls
• Phase behavior and structure of model colloid-polymer mixtures confined between two parallel planar walls
• Phase diagram and structure of colloid-polymer mixtures confined between walls

Cited by in corpus (13)

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• Random-field Ising model criticality in a glass-forming liquid
• The Effect of Confinement on Capillary Phase Transition In Granular Aggregates
• Phase transition in the binary mixture of jammed particles with large size dispersity
• Fluids with quenched disorder: Scaling of the free energy barrier near critical points
• Fluid phase separation inside a static periodic field: an effectively two-dimensional critical phenomenon
• Fluids in porous media: The case of neutral walls
• Colloids and polymers in random colloidal matrices: demixing under good-solvent conditions
• Critical Exponents of the Random Field Hierarchical Model
• Fluid-fluid demixing curves for colloid-polymer mixtures in a random colloidal matrix