Lack of monotonicity in ferromagnetic ising model phase diagrams
成果类型：
Article
署名作者：
Schonmann, RH; Tanaka, NI
署名单位：
University of California System; University of California Los Angeles; Universidade de Sao Paulo
刊物名称：
ANNALS OF APPLIED PROBABILITY
ISSN/ISSBN：
1050-5164
发表日期：
1998
页码：
234-245
关键词：
摘要：
We study patterns of the phase diagram of ferromagnetic Ising models on graphs under an external magnetic field. We provide an example of a tree with only two types of vertices on which for a range of values of the external field there is a unique Gibbs distribution at low enough and at high enough temperatures, while at intermediate temperatures there is phase coexistence (in other words, a reentrance transition takes place).