Monte Carlo study of the square-lattice annealed Ising model on percolating clusters

Citation data:

Physical Review B, ISSN: 0163-1829, Vol: 56, Issue: 1, Page: 59-62

Publication Year:
1997
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Repository URL:
https://engagedscholarship.csuohio.edu/sciphysics_facpub/49; https://works.bepress.com/miron_kaufman/10
DOI:
10.1103/physrevb.56.59
Author(s):
Scholten, P. D.; Kaufman, Miron
Publisher(s):
American Physical Society (APS)
Tags:
Materials Science; Physics and Astronomy; Physics
article description
Simulations of an Ising (Formula presented)-state Potts model which is equivalent to the Ising model on annealed percolation clusters are used to determine the phase diagram of the model in two dimensions. Three topologically different phase diagrams are obtained: (i) for (Formula presented) there are two critical Ising lines meeting at (Formula presented) at the four-state Potts critical point; (ii) for (Formula presented) the Ising critical line meets the (Formula presented)-state critical line and a line of first-order transitions at a bicritical point; (iii) for (Formula presented) the Ising critical line intersects a line of first-order transitions at a critical end point. © 1997 The American Physical Society.