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arXiv · 2105.03618

Failure of Ornstein--Zernike asymptotics for the pair correlation function at high temperature and small density

Y. Aoun·D. Ioffe·S. Ott·Y. Velenik
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Abstract

We report on recent results that show that the pair correlation function of systems with exponentially decaying interactions can fail to exhibit Ornstein-Zernike asymptotics at all sufficiently high temperatures and all sufficiently small densities. This turns out to be related to a lack of analyticity of the correlation length as a function of temperature and/or density and even occurs for one-dimensional systems.

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Y. Aoun, D. Ioffe, S. Ott, Y. Velenik. 2021-05-20. Failure of Ornstein--Zernike asymptotics for the pair correlation function at high temperature and small density. https://doi.org/10.1103/physreve.103.l050104

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