晶格气体模型中与不规则有序基态相关的热力学相变
统计力学
2015-05-19 v3 无序系统与神经网络
摘要
提出了一个二维晶格气体模型。该模型在固定密度下的基态既非周期也非准周期，并且以不规则的方式依赖于系统尺寸。另一方面，它是有序的，因为热力学极限下熵密度为零。从热力学函数的对偶关系推测，存在与这种不规则有序基态相关的热力学相变。这一推测得到了现象学论证和数值实验的支持。
引用
@article{arxiv.1006.4972,
title = {Thermodynamic transition associated with irregularly ordered ground states in a lattice gas model},
author = {Shin-ichi Sasa},
journal= {arXiv preprint arXiv:1006.4972},
year = {2015}
}
备注
12 pages, 7 figures. A slightly revised version with adding one reference (ver. 2). The version 3, in which the presentation has been revised, has been published in J. Phys. A