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Exact Density Functionals in One Dimension

Joachim Buschle·Philipp Maass·Wolfgang Dieterich
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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.

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Joachim Buschle, Philipp Maass, Wolfgang Dieterich. 1999-12-20. Exact Density Functionals in One Dimension. https://arxiv.org/abs/cond-mat/9911240

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