2003/06/10 by Luis Lafuente, Jose A. Cuesta, José A. Cuesta · 2 citations
Earth and Planetary Sciences · Engineering · Materials Science · Physics and Astronomy · #High-pressure geophysics and materials #Material Dynamics and Properties #Phase Equilibria and Thermodynamics #cond-mat.soft #cond-mat.stat-mech
paper · pdf · doi:10.1063/1.1615511
14 pages, 16 figures
arxiv created 2003/06/10 · openalex publication_date 2003/11/22 · arxiv updated 2009/11/30 · openalex created_date 2020/11/23 · openalex updated_date 2026/07/28
We use an extension of fundamental measure theory to lattice hard-core fluids to study the phase diagram of two different systems. First, two-dimensional parallel hard squares with edge-length σ=2 in a simple square lattice. This system is equivalent to the lattice gas with first and second neighbor exclusion in the same lattice, and has the peculiarity that its close packing is degenerated (the system orders in sliding columns). A comparison with other theories is discussed. Second, a three-dimensional binary mixture of parallel hard cubes with σL=6 and σS=2. Previous simulations of this model only focused on fluid phases. Thanks to the simplicity introduced by the discrete nature of the lattice we have been able to map out the complete phase diagram (both uniform and nonuniform phases) through a free minimization of the free energy functional, so the structure of the ordered phases is obtained as a result. A zoo of entropy-driven phase transitions is found: one-, two- and three-dimensional positional ordering, as well as fluid-ordered phase and solid-solid demixings.