RT Journal Article T1 Close to the edge of fundamental measure theory: a density functional for hard-sphere mixtures A1 Cuesta, José A. A1 Martínez-Ratón, Yuri A1 Tarazona, Pedro AB We analyse the structure of the fundamental measure theory for the free energy density functional of hard-sphere mixtures. A comparative study of the different versions of the theory, and other density functional approaches, is carried out in terms of their generic form for the three-point direct correlation function, which shows clearly the main advantages and problems of the different approximations. A recently developed version for the monocomponent case is extended to mixtures of hard spheres with different radii, and a new prescription is presented for obtaining the exact dimensional crossover of those mixtures in the one-dimensional (1D) limit. Numerical results for planar wall–fluid interfaces and for the 1D fluid are presented. PB IOP Publishing SN 0953-8984 (Print) SN 1361-648X (Online) YR 2002 FD 2002-11-25 LK https://hdl.handle.net/10016/7033 UL https://hdl.handle.net/10016/7033 LA eng NO 16 pages, 7 figures.-- PACS nrs.: 05.20.Jj, 61.20.Gy, 61.25.Em.-- ArXiv pre-print available at: http://arxiv.org/abs/cond-mat/0205256 NO Final publisher version available Open Access at: http://gisc.uc3m.es/~cuesta/papers-year.html NO This work is part of the research projects PB97-1223-C02-01 (DGESIC), BFM2001-1679-C03-02 (DGI) and BFM2000-0004 (DGI) of the Ministerio de Ciencia y Tecnología (Spain). Yuri Martínez-Ratón acknowledges financial support fromapostdoctoral grant of the Dirección General de Investigación of the Consejería de Educación de la Comunidad de Madrid (Spain). DS e-Archivo RD 1 sept. 2024