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title: "The n-Component Cubic Model and Flows: Subgraph Break-Collapse Method • CBPF Index"
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**Physics Note****Published**

# **The n-Component Cubic Model and Flows: Subgraph Break-Collapse Method**

**A. C. N. Magalhães; J.W. Essam**

1988

[**Download PDF **0.8 MB](https://index.cbpf.br/files/publicacao/6ad2a767639f62b11adbb76d/pdf) [**Contact owner**](mailto:apub@cbpf.br?subject=The%20n-Component%20Cubic%20Model%20and%20Flows%3A%20Subgraph%20Break-Collapse%20Method)

## **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>1988</dd>

<dt>Description</dt>
<dd>We generalise to the n-component cubic model the subgraph break-collapse method which we previously developed for the Potts model. The relations used are based on expressions which we recently derived for the Z &lt;math&gt;(\lambda)\,\!&lt;/math&gt; model in terms of mod-&lt;math&gt;\lambda\,\!&lt;/math&gt; flows. Our recursive algorithm is similar, for n = 2, to the break-collapse method for the Z(4) model proposed by Mariz and coworkers. It allows the exact calculation for the partition function and correlation functions for n-component cubic clusters with n as a variable, without the need to examine all of the spin configurations.</dd>

<dt>Year</dt>
<dd>1988</dd>

<dt>Number</dt>
<dd>CBPF-NF-074/88</dd>

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

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

</dl>

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