Publication: Fundamental-measure density functional for mixtures of parallel hard cylinders
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2008-05
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The American Physical Society
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Abstract
We obtain a fundamental-measure density functional for mixtures of parallel hard cylinders. For 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 those 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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9 pages, 4 figures.-- PACS nrs.: 61.20.Gy, 61.30.Cz.-- ArXiv pre-print available at: http://arxiv.org/abs/0803.2033
Final publisher version available Open Access at: http://gisc.uc3m.es/~cuesta/papers-year.html
Final publisher version available Open Access at: http://gisc.uc3m.es/~cuesta/papers-year.html
Keywords
[PACS] Theory and models of liquid structure, [PACS] Molecular and microscopic models and theories of liquid crystal structure
Bibliographic citation
Physical Review E 77, 051205 (2008)