期刊
PHYSICAL REVIEW B
卷 102, 期 17, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.102.174418
关键词
-
资金
- Vilho, Yrjo, and Kalle Vaisala Foundation of the Finnish Academy of Science and Letters
- European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant [892956]
- Academy of Finland [308515, 312057, 312299, 331737]
- Academy of Finland (AKA) [331737, 331737] Funding Source: Academy of Finland (AKA)
- Marie Curie Actions (MSCA) [892956] Funding Source: Marie Curie Actions (MSCA)
We investigate the Ising model in one, two, and three dimensions using a cumulant method that allows us to determine the Lee-Yang zeros from the magnetization fluctuations in small lattices. By doing so with increasing system size, we are able to determine the convergence point of the Lee-Yang zeros in the thermodynamic limit and thereby predict the occurrence of a phase transition. The cumulant method is attractive from an experimental point of view since it uses fluctuations of measurable quantities, such as the magnetization in a spin lattice, and it can be applied to a variety of equilibrium and nonequilibrium problems. We show that the Lee-Yang zeros encode important information about the rare fluctuations of the magnetization. Specifically, by using a simple ansatz for the free energy, we express the large-deviation function of the magnetization in terms of Lee-Yang zeros. This result may hold for many systems that exhibit a first-order phase transition.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据