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

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

2008-03-13

arxiv.org/abs/0803.2033v1

Phys. Rev. E 77, 051205 (2008).

Physics

Condensed Matter

Soft Condensed Matter

19 pages, 4 figures

Scientific paper

10.1103/PhysRevE.77.051205

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.

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