A density functional theory for general hard-core lattice gases

2004/01/31 by Luis Lafuente, Jose A. Cuesta · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #cond-mat.soft

paper · pdf · doi:10.1103/physrevlett.93.130603

published as Phys. Rev. Lett. 93, 130603 (2004) · 4 pages, 1 eps figure, uses RevTeX 4

arxiv created 2004/10/08 · arxiv updated 2009/12/01

Abstract

We put forward a general procedure to obtain an approximate free energy density functional for any hard-core lattice gas, regardless of the shape of the particles, the underlying lattice or the dimension of the system. The procedure is conceptually very simple and recovers effortlessly previous results for some particular systems. Also, the obtained density functionals belong to the class of fundamental measure functionals and, therefore, are always consistent through dimensional reduction. We discuss possible extensions of this method to account for attractive lattice models.

Cited by

• Active gel theory for cell migration with two myosin isoforms

Related

• Density functional theory and the asymptotic high density expansion of the free energy of classical solids and fluids
• Lattice Fundamental Measure Theory beyond 0D Cavities: Dimers on Square Lattices
• Exact Density Functionals in One Dimension
• Density functional theory: An introduction
• Lattice-Fluid Models derived from Density Functional Theory