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title: "The Potts Model and Flows. I: The Pair Correlation Function • CBPF Index"
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**Physics Note****Published**

# **The Potts Model and Flows. I: The Pair Correlation Function**

**J.W. Essam; C. Tsallis**

1985

[**Download PDF **1.6 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb85b/pdf) [**Contact owner**](mailto:apub@cbpf.br?subject=The%20Potts%20Model%20and%20Flows.%20I%3A%20The%20Pair%20Correlation%20Function)

## **Publication details**

<dl>

<dt>Authors</dt>
<dd>J.W. Essam; C. Tsallis</dd>

<dt>Type</dt>
<dd>Physics Note</dd>

<dt>Status</dt>
<dd>Published</dd>

<dt>Publication date</dt>
<dd>1985</dd>

<dt>Description</dt>
<dd>It is shown that the partition function for the &lt;math&gt;\lambda &lt;/math&gt;-state Potts model with pair-interactions is related to the expected number of integer mod-&lt;math&gt;\lambda &lt;/math&gt; flows in a percolation model. The rela tion ins generalised to the pair correlation function. The resulting high temperature expansion coefficients are shown to be the flow polynomials of graph theory. We also prove an observa tion of Tsallis and Levy concerning the equivalent transmissivity of a cluster.</dd>

<dt>Year</dt>
<dd>1985</dd>

<dt>Number</dt>
<dd>CBPF-NF-075/85</dd>

<dt>Linked to a thesis</dt>
<dd>No</dd>

<dt>Linked to a grant</dt>
<dd>No</dd>

</dl>

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