Highly Influenced

# Graphical representations and cluster algorithms I . Discrete spin systems 1

@inproceedings{Chayes1996GraphicalRA, title={Graphical representations and cluster algorithms I . Discrete spin systems 1}, author={Lincoln P Chayes and Jonathan Machta}, year={1996} }

- Published 1996

Graphical representations similar to the FK representation are developed for a variety of spin-systems. In several cases, it is established that these representations have (FKG) mono-tonicity properties which enables characterization theorems for the uniqueness phase and the low-temperature phase of the spin system. Certain systems with intermediate phases and/or first-order transitions are also described in terms of the percolation properties of the representations. In all cases, these… CONTINUE READING

Highly Cited

This paper has 23 citations. REVIEW CITATIONS

#### From This Paper

##### Figures, tables, and topics from this paper.

19 Citations

17 References

Similar Papers