High-Temperature Series Expansions for Random Potts Models

Details High-Temperature Series Expansions for Random Potts Models High-Temperature Series Expansions for Random Potts Models

2005-02-05

arxiv.org/abs/cond-mat/0502152v1

Condens. Matter Phys. 8(2005)59-74

Physics

Condensed Matter

Statistical Mechanics

16 pages,cmp209.sty (included), 9 postscript figures, author information under http://www.physik.uni-leipzig.de/index.php?id=2

Scientific paper

We discuss recently generated high-temperature series expansions for the free energy and the susceptibility of random-bond q-state Potts models on hypercubic lattices. Using the star-graph expansion technique quenched disorder averages can be calculated exactly for arbitrary uncorrelated coupling distributions while keeping the disorder strength p as well as the dimension d as symbolic parameters. We present analyses of the new series for the susceptibility of the Ising (q=2) and 4-state Potts model in three dimensions up to order 19 and 18, respectively, and compare our findings with results from field-theoretical renormalization group studies and Monte Carlo simulations.

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