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Correlation Functions of a One-Dimensional Lattice Gas with Interactions Up to Third-Nearest Neighbors

Correlation Functions of a One-Dimensional Lattice Gas with Interactions Up to Third-Nearest Neighbors

The direct correlation function as well as the total correlation function is calculated for the one-dimensional lattice gas with interactions up to third-nearest neighbors, at number density 1/2. It is shown that the direct correlation function has generally no finite range as far as there exists a third-nearest-neighbor interaction.