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**Physics Note****Published**

# **The Potts Model and Flows. II. Many-Spin Correlation Function**

**A. C. N. Magalhães; J.W. Essam**

1985

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## **Publication details**

<dl>

<dt>Authors</dt>
<dd>A. C. N. Magalhães; J.W. Essam</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>A graph theoretic analysis is made of the m-spin correlation functions of the &lt;math&gt;\lambda &lt;/math&gt;-state Potts model. In paper I, the correlation functions for m=2 were expressed in terms of rooted mod-&lt;math&gt;\lambda &lt;/math&gt; flow polynomials. Here we introduce a more general type of polynomial, the partitioned m-rooted flow polynomial, which plays a fundamental role in the calculation of the multi-spin correlation functions. The m-rooted equivalent transmissivities of Tsallis and Levy are interpreted in terms of percolation theory and are expressed as linear combinations of the above correlation functions.</dd>

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

<dt>Number</dt>
<dd>CBPF-NF-078/85</dd>

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

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

</dl>

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