On the equivalence of the Ornstein–Zernike relation and Baxter’s relations for a one-dimensional simple fluid

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Abstract
If the direct correlation function c (x) for a one-dimensional simple fluid vanishes for ‖x‖≳l, where l is finite, it can be proved that the Ornstein–Zernike relation and Baxter’s relations are equivalent provided that ⩽ (K), the Fourier transform of the total correlation function h (x), is bounded for real K.

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