Cluster Percolation and Pseudocritical Behaviour in Spin Models
高能物理 - 格点
2009-11-07 v3 凝聚态物理
摘要
The critical behaviour of many spin models can be equivalently formulated as percolation of specific site-bond clusters. In the presence of an external magnetic field, such clusters remain well-defined and lead to a percolation transition, even though the system no longer shows thermal critical behaviour. We investigate the 2-dimensional Ising model and the 3-dimensional O(2) model by means of Monte Carlo simulations. We find for small fields that the line of percolation critical points has the same functional form as the line of thermal pseudocritical points.
引用
@article{arxiv.hep-lat/0103010,
title = {Cluster Percolation and Pseudocritical Behaviour in Spin Models},
author = {Santo Fortunato and Helmut Satz},
journal= {arXiv preprint arXiv:hep-lat/0103010},
year = {2009}
}
备注
11 pages, 7 figures, 2 tables, abstract partially changed, references added