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Computer Aided Series Expansions for Critical Phenomena

Hildegard Meyer-Ortmanns·Thomas Reisz
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Abstract

Under quite general conditions critical phenomena can be described with high order linked cluster expansions. The coefficients of the series admit a graphical expansion that is generated with the aid of computers. Our generalization of linked cluster expansions from an infinite to a finite volume allows to perform a finite size scaling analysis. We also indicate a generalization to Dynamical Linked Cluster Expansions with possible applications to spin glasses and neural networks with coupled spin and interaction dynamics.

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Hildegard Meyer-Ortmanns, Thomas Reisz. 1996-12-20. Computer Aided Series Expansions for Critical Phenomena. https://arxiv.org/abs/hep-lat/9612022

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