A fundamental-measure density functional for mixtures of parallel hard cylinders

Abstract

We obtain a fundamental measure density functional for mixtures of parallel hard cylinders. To this purpose we first generalize to multicomponent mixtures the fundamental measure functional proposed by Tarazona and Rosenfeld for a one-component hard disk fluid, through a method alternative to the cavity formalism of these authors. We show the equivalence of both methods when applied to two-dimensional fluids. The density functional so obtained reduces to the exact density functional for one-dimensional mixtures of hard rods when applied to one-dimensional profiles. In a second step we apply an idea put forward some time ago by two of us, based again on a dimensional reduction of the system, and derive a density functional for mixtures of parallel hard cylinders. We explore some features of this functional by determining the fluid-fluid demixing spinodals for a binary mixture of cylinders with the same volume, and by calculating the direct correlation functions.

19 pages, 4 figures

References in corpus (4)

• Enhancement by polydispersity of the biaxial nematic phase in a mixture of hard rods and plates
• A density functional theory for general hard-core lattice gases
• Capillary ordering and layering transitions in two-dimensional hard-rod fluids
• Fundamental-measure density functional for the fluid of aligned hard hexagons: New insights in fundamental measure theory

Cited by in corpus (2)

• Phase behavior of parallel hard cylinders
• Biaxial nematic and smectic phases of parallel particles with different cross sections