Fractionation of polydisperse systems: multi-phase coexistence

Abstract

The width of the distribution of species in a polydisperse system is employed in a small-variable expansion, to obtain a well-controlled and compact scheme by which to calculate phase equilibria in multi-phase systems. General and universal relations are derived, which determine the partitioning of the fluid components among the phases. The analysis applies to mixtures of arbitrarily many slightly-polydisperse components. An explicit solution is approximated for hard spheres.

4 pages, 1 figure

References in corpus (1)

• Projected free energies for polydisperse phase equilibria

Cited by in corpus (19)

• Predicting phase equilibria in polydisperse systems
• Phase diagrams of polydisperse van der Waals fluids
• Isotropic-nematic phase equilibria of polydisperse hard rods: The effect of fat tails in the length distribution
• Local size segregation in polydisperse hard sphere fluids
• Perturbative polydispersity: Phase equilibria of near-monodisperse systems
• Impact of size polydispersity on the nature of Lennard-Jones liquids
• Effect of Energy Polydispersity on the Nature of Lennard-Jones Liquids
• Phase behaviour and particle-size cutoff effects in polydisperse fluids
• Density functional theory of phase coexistence in weakly polydisperse fluids
• Liquid-gas coexistence and critical point shifts in size-disperse fluids
• Polydisperse hard spheres at a hard wall
• Three-phase fractionation of polydisperse fluids
• Landau Expansion for the Critical Point of a Polydisperse System
• Effect of liquid state organization on microstructure and strength of model multicomponent solids
• Interfaces of polydisperse fluids : surface tension and adsorption properties
• Smectic and columnar ordering in length-polydisperse fluids of parallel hard cylinders
• Even strong energy polydispersity does not affect the average structure and dynamics of simple liquids
• $NVU$ view on energy polydisperse Lennard-Jones systems
• Systems with size and energy polydispersity: from glasses to mosaic crystals