Graphical Representations for Ising Systems in External Fields

Graphical Representations for Ising Systems in External Fields
复制标题

外部场中 Ising 系统的图形表示

DOI：
--
复制
发表时间：
1998
期刊：
影响因子：
--
通讯作者：
Oliver Redner
Oliver Redner
中科院分区：
--
文献类型：
--
作者：
L. Chayes;Jonathan Machta;Oliver Redner

文献摘要

被引文献

相似文献

发展了一种基于复制的图形表示法，适用于外场中伊辛系统的研究。在同一场中，伊辛系统的两个独立复制品被视为单个四态(Ashkin-Teller)模型。图形表示中的键连接了Ashkin-Teller自旋。对于铁磁系统，证明了在这种表象中，有序性是由渗流来表征的。这种表示立即引出了集群算法；沿着这些路线讨论了一些应用。
A graphical representation based on duplication is developed that is suitable for the study of Ising systems in external fields. Two independent replicas of the Ising system in the same field are treated as a single four-state (Ashkin–Teller) model. Bonds in the graphical representation connect the Ashkin–Teller spins. For ferromagnetic systems it is proved that ordering is characterized by percolation in this representation. The representation leads immediately to cluster algorithms; some applications along these lines are discussed.