Monte Carlo Studies of Three-Dimensional Bond-Diluted Ferromagnets

Details Monte Carlo Studies of Three-Dimensional Bond-Diluted Ferromagnets Monte Carlo Studies of Three-Dimensional Bond-Diluted Ferromagnets

2002-12-19

arxiv.org/abs/cond-mat/0212504v1

High Performance Computing in Science and Engineering, eds. S. Wagner, W. Hanke, A. Bode, F. Durst (2003) Springer (Berlin), p

Physics

Condensed Matter

Statistical Mechanics

12 pages, LaTeX, 11 Postscript figures

Scientific paper

In this report we give an overview on recent results obtained from extensive Monte Carlo (MC) computer simulations of the 3D 2-state (Ising) and 4-state Potts models with bond-dilution. The motivation to study the 4-state Potts model derives from the fact that, in the pure case, this model is known to exhibit a fairly strong first-order transition, such that a disorder-induced softening to a second-order transition would give clear support of the theoretical expectations. Modeling the disorder by bond-dilution enables in the Ising case a test of the expected universality with respect to the type of disorder. Furthermore, for both models this choice facilitates a quantitative comparison with recent high-temperature series expansions for general random-bond q-state Potts models.

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