RT Journal Article
T1 Fundamental-measure density functional for mixtures of parallel hard cylinders
A1 Martínez-Ratón, Yuri
A1 Capitán, José A.
A1 Cuesta, José A.
AB 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.
PB The American Physical Society
SN 1539-3755
YR 2008
FD 2008-05
LK https://hdl.handle.net/10016/6989
UL https://hdl.handle.net/10016/6989
LA eng
NO 9 pages, 4 figures.-- PACS nrs.: 61.20.Gy, 61.30.Cz.-- ArXiv pre-print available at: http://arxiv.org/abs/0803.2033
NO Final publisher version available Open Access at: http://gisc.uc3m.es/~cuesta/papers-year.html
NO Y.M.-R. is supported by a Ramón y Cajal research contract. J.A. Capitán acknowledges financial support through a contract from Consejería de Educación of Comunidad de Madrid and Fondo Social Europeo. This work is part of research projects MOSAICO of the Ministerio de Educación y Ciencia (Spain), and MOSSNOHO of Comunidad Autónoma de Madrid (Spain).
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RD 1 sept. 2024