Please use this identifier to cite or link to this item: http://hdl.handle.net/1783.1/2233

Phase transition of two-dimensional Ising model on random point patterns

Authors Xiujun Fu
Kwok Yip Szeto
Wing Keung Cheung
Issue Date 2004
Source Physical Review E, v. 70, (5), November 2004
Summary The phase transition of two-dimensional Ising model on random point patterns is investigated using Monte Carlo simulation and the critical temperature is calculated using the Bethe approximation. We find a linear relation between the critical temperature and the structural characteristics of the random point pattern, as described by Aboav’s parameter. Numerical results and analytical calculation both yield this linear relation with a similar slope, though the intercept is different due to the Bethe approximation.
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ISSN 1539-3755
Rights © 2004 American Physical Society
Language English
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