Analytic solutions for Baxter's model of sticky hard sphere fluids within closures different from the Percus_Yevick approximation

Abstract

We discuss structural and thermodynamical properties of Baxter's adhesive hard sphere model within a class of closures which includes the Percus-Yevick (PY) one. The common feature of all these closures is to have a direct correlation function vanishing beyond a certain range, each closure being identified by a different approximation within the original square-well region. This allows a common analytical solution of the Ornstein-Zernike integral equation, with the cavity function playing a privileged role. A careful analytical treatment of the equation of state is reported. Numerical comparison with Monte Carlo simulations shows that the PY approximation lies between simpler closures, which may yield less accurate predictions but are easily extensible to multi-component fluids, and more sophisticate closures which give more precise predictions but can hardly be extended to mixtures. In regimes typical for colloidal and protein solutions, however, it is found that the perturbative closures, even when limited to first-order, produce satisfactory results.

arXiv comment30 pages, 7 figures. Accepted for publication in the J. Chem. Phys

References in corpus (6)

• Competition of percolation and phase separation in a fluid of adhesive hard spheres
• Structure factors for the simplest solvable model of polydisperse colloidal fluids with surface adhesion
• A simple approximation for fluids with narrow attractive potentials
• Pathologies in the sticky limit of hard-sphere-Yukawa models for colloidal fluids. A possible correction
• Polydisperse fluid mixtures of adhesive colloidal particles
• On the compressibility equation of state for multicomponent adhesive hard sphere fluids

Cited by in corpus (23)

• A geometrical approach to computing free energy landscapes from short-ranged potentials
• Modelling colloids with Baxter's adhesive hard sphere model
• Patchy sticky hard spheres: analytical study and Monte Carlo simulations
• Multicomponent adhesive hard sphere models and short-ranged attractive interactions in colloidal or micellar solutions
• Alternative Approaches to the Equilibrium Properties of Hard-Sphere Liquids
• How `sticky' are short-range square-well fluids?
• Bridging and depletion mechanisms in colloid-colloid effective interactions: A reentrant phase diagram
• The thermodynamic instabilities of a binary mixture of sticky hard spheres
• Stability boundaries, percolation threshold, and two phase coexistence for polydisperse fluids of adhesive colloidal particles
• Phase behavior of weakly polydisperse sticky hard spheres: Perturbation theory for the Percus-Yevick solution
• Phase behavior of polydisperse sticky hard spheres: analytical solutions and perturbation theory
• Fluids of spherical molecules with dipolar-like nonuniform adhesion. An analytically solvable anisotropic model
• A numerical study of a binary Yukawa model in regimes characteristic of globular proteins in solutions
• A fundamental measure theory for the sticky hard sphere fluid
• An investigation of the SCOZA for narrow square-well potentials and in the sticky limit
• Depletion interaction between spheres of unequal size and demixing in binary mixtures of colloids
• Interacting hard rods on a lattice: Distribution of microstates and density functionals
• Simulating sticky particles: A Monte Carlo method to sample a stratification
• The Gregory-Newton Problem for Kissing Sticky Spheres
• Application of the Optimized Baxter Model to the hard-core attractive Yukawa system
• Effect of quantum dispersion on the radial distribution function of a one-component sticky-hard-sphere fluid
• Effect of Polydispersity and Anisotropy in Colloidal and Protein Solutions: an Integral Equation Approach
• Andersen-Weeks-Chandler perturbation theory and one-component sticky-hard-spheres