Cluster Percolation and Pseudocritical Behaviour in Spin Models

Details Cluster Percolation and Pseudocritical Behaviour in Spin Models Cluster Percolation and Pseudocritical Behaviour in Spin Models

2001-03-14

arxiv.org/abs/hep-lat/0103010v3

Phys.Lett. B509 (2001) 189-195

Physics

High Energy Physics

High Energy Physics - Lattice

11 pages, 7 figures, 2 tables, abstract partially changed, references added

Scientific paper

10.1016/S0370-2693(01)00551-2

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.

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