The Potts model and flows. I. The pair correlation function
Open Access
- 21 February 1986
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 19 (3) , 409-422
- https://doi.org/10.1088/0305-4470/19/3/022
Abstract
It is shown that the partition function for the lambda -state Potts model with pair interactions is related to the expected number of integer mod- lambda flows in a percolation model. The relation is generalised to the pair correlation function. The resulting high-temperature expansion coefficients are shown to be the flow polynomials of graph theory. The authors also prove an observation of Tsallis and Levy (1981) concerning the equivalent transmissivity of a cluster.Keywords
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