Document Type
Article
Publication Date
4-1-1994
Publication Title
Physical Review B
Abstract
The annealed Ising magnet on percolation clusters is studied by means of a mapping into a Potts-Ising model and with the Migdal-Kadanoff renormalization-group method. The phase diagram is determined in the three-dimensional parameter space of the Ising coupling K, the bond-occupation probability p, and the fugacity q, which controls the number of clusters. Three phases are identified: percolating ferromagnetic, percolating paramagnetic, and nonpercolating paramagnetic. For large q the phase diagram includes a multicritical point at the intersection of the Ising critical line and the percolation critical line. In the case of random bond percolation (q = 1) the Ising critical line is: p(1 - e-2K) = 1 - exp(- 2L(C)), where Lc is the pure-Ising-model critical coupling.
Repository Citation
Kaufman, Miron; Berger, T.; Gujrati, P. D.; and Bowman, D., "Phase Diagram of the Ising Model on Percolation Clusters" (1994). Physics Faculty Publications. 5.
https://engagedscholarship.csuohio.edu/sciphysics_facpub/5
Original Citation
Kaufman, Miron, T. Berger, P. D. Gujrati, and D. Bowman. "Phase Diagram of the Ising Model on Percolation Clusters." Physical Review B 49 (1994): 9583-9585.
DOI
10.1103/PhysRevB.49.9583
Version
Publisher's PDF
Publisher's Statement
Copyright 1994 American Physical Society. Available on publisher's site at http://link.aps.org/doi/10.1103/PhysRevB.49.9583.
Volume
49
Issue
14
