High-Temperature Series Expansions for Random Potts Models
摘要
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.
引用
@article{arxiv.cond-mat/0502152,
title = {High-Temperature Series Expansions for Random Potts Models},
author = {Meik Hellmund and Wolfhard Janke},
journal= {arXiv preprint arXiv:cond-mat/0502152},
year = {2007}
}
备注
16 pages,cmp209.sty (included), 9 postscript figures, author information under http://www.physik.uni-leipzig.de/index.php?id=22