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A fundamental-measure density functional for mixtures of parallel hard cylinders
- Source :
- Phys. Rev. E 77, 051205 (2008).
- Publication Year :
- 2008
-
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.<br />Comment: 19 pages, 4 figures
- Subjects :
- Condensed Matter - Soft Condensed Matter
Condensed Matter - Statistical Mechanics
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. E 77, 051205 (2008).
- Publication Type :
- Report
- Accession number :
- edsarx.0803.2033
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevE.77.051205