High-temperature series expansions for random-bond Potts models on Z(d)
We use a star-graph expansion technique to compute high-temperature series for the free energy and susceptibility of random-bond q-state Potts models on hypercubic lattices. This method allows us to calculate quenched disorder averages for arbitrary uncorrelated coupling distributions. Moreover, we can keep the disorder strength p as well as the dimension d as symbolic parameters. This enables scans over large regions of the (p, d) parameter space for any value of q. For the bond-diluted Ising model (q = 2) in three dimensions we present first results for the critical temperature and exponent gamma obtained from the analysis of susceptibility series up to order 19. (C) 2002 Elsevier Science B.V. All rights reserved.
high-temperature series expansions bond-diluted ising model star graphs quenched random disorder