高温低密度下对关联函数的Ornstein–Zernike渐近性的失效
统计力学
2021-06-02 v2 数学物理
math.MP
概率论
摘要
我们报告近期结果：具有指数衰减相互作用的系统的对关联函数，在所有足够高温与所有足够低密度下均可能不展现Ornstein-Zernike渐近性。这被证明与关联长度作为温度及/或密度的函数的解析性缺失有关，甚至在一维系统中也会发生。
引用
@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}
}
备注
Accepted for publication as a Letter in Physical Review E; minor improvements after proofreading