Computer Aided Series Expansions for Critical Phenomena
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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.
Talk presented at the International Conference on Multi-Scale Phenomena and their Simulation at ZiF (Bielefeld, Germany) October 1996, 8 pages, tex file sendzif.tex and sprocl.sty
Talk presented at the International Conference on Multi-Scale Phenomena and their Simulation at ZiF (Bielefeld, Germany) October 1996, 8 pages, tex file sendzif.tex and sprocl.sty