Failure of Ornstein--Zernike asymptotics for the pair correlation function at high temperature and small density
arXiv:2105.03618 · doi:10.1103/PhysRevE.103.L050104
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.
arXiv commentAccepted for publication as a Letter in Physical Review E; minor improvements after proofreading
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