Failure of Ornstein-Zernike asymptotics for the pair correlation function at high temperature and small density.
basic_science · Level V
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- Record sourced from PubMed, PMID 34134342.
- Also identified by DOI 10.1103/PhysRevE.103.L050104.
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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.