Exact Density Functionals in One Dimension
Statistical Mechanics
2007-05-23 v2
Abstract
We propose a new and general method for deriving exact density functionals in one dimension for lattice gases with finite-range pairwise interactions. Corresponding continuum functionals are derived by applying a proper limiting procedure. The method is based on a generalised Markov property, which allows us to set up a rather transparent scheme that covers all previously known exact functionals for one-dimensional lattice gas or fluid systems. Implications for a systematic construction of approximate density functionals in higher dimensions are pointed out.
Keywords
Cite
@article{arxiv.cond-mat/9911240,
title = {Exact Density Functionals in One Dimension},
author = {Joachim Buschle and Philipp Maass and Wolfgang Dieterich},
journal= {arXiv preprint arXiv:cond-mat/9911240},
year = {2007}
}
Comments
5 pages. To appear in J.Phys.A:Math.Gen. 32 (2000) L1