Failure of Ornstein--Zernike asymptotics for the pair correlation function at high temperature and small density
Statistical Mechanics
2021-06-02 v2 Mathematical Physics
math.MP
Probability
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.
Keywords
Cite
@article{arxiv.2105.03618,
title = {Failure of Ornstein--Zernike asymptotics for the pair correlation function at high temperature and small density},
author = {Y. Aoun and D. Ioffe and S. Ott and Y. Velenik},
journal= {arXiv preprint arXiv:2105.03618},
year = {2021}
}
Comments
Accepted for publication as a Letter in Physical Review E; minor improvements after proofreading