Computer Aided Series Expansions for Critical Phenomena
High Energy Physics - Lattice
2007-05-23 v1 Condensed Matter
High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.hep-lat/9612022,
title = {Computer Aided Series Expansions for Critical Phenomena},
author = {Hildegard Meyer-Ortmanns and Thomas Reisz},
journal= {arXiv preprint arXiv:hep-lat/9612022},
year = {2007}
}
Comments
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