Local size segregation in polydisperse hard sphere fluids

Abstract

The structure of polydisperse hard sphere fluids, in the presence of a wall, is studied by the Rosenfeld density functional theory. Within this approach, the local excess free energy depends on only four combinations of the full set of density fields. The case of continuous polydispersity thereby becomes tractable. We predict, generically, an oscillatory size segregation close to the wall, and connect this, by a perturbation theory for narrow distributions, with the reversible work for changing the size of one particle in a monodisperse reference fluid.

RevTeX, 4 pages, 3 figures, submitted to Phys. Rev. Lett

References in corpus (5)

• Projected free energies for polydisperse phase equilibria
• Depletion potential in hard sphere fluids
• Phase separation and crystallisation of polydisperse hard spheres
• Fluid-fluid phase separation in hard spheres with a bimodal size distribution
• Fractionation of polydisperse systems: multi-phase coexistence

Cited by in corpus (20)

• Predicting phase equilibria in polydisperse systems
• Binary hard-sphere fluids near a hard wall
• Inhomogeneous hard-sphere mixtures: Manifestations of structural crossover
• Close to the edge of Fundamental Measure Theory: density functional for hard sphere mixtures
• Density Functional for Anisotropic Fluids
• Phase behaviour of polydisperse spheres: simulation strategies and an application to the freezing transition
• A practical density functional for polydisperse polymers
• Preferential localization of the bacterial nucleoid
• Structure and dynamics of responsive colloids with dynamical polydispersity
• Contact values of the particle-particle and wall-particle correlation functions in a hard-sphere polydisperse fluid
• Polydisperse hard spheres at a hard wall
• Structure and position-dependent properties of inhomogeneous suspensions of responsive colloids
• The effects of polydispersity and metastability on crystal growth kinetics
• Interfaces of polydisperse fluids : surface tension and adsorption properties
• Smectic and columnar ordering in length-polydisperse fluids of parallel hard cylinders
• Measuring local volume fraction, long-wavelength correlations and fractionation in a phase-separating polydisperse fluid
• Liquid-vapor interface of a polydisperse fluid
• Freezing line of polydisperse hard spheres via direct-coexistence simulations
• The Collective Coordinates Jacobian
• Polydispersity and optimal relaxation in the hard sphere fluid