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Title: Phase transition of two-dimensional Ising model on random point patterns
Authors: Fu, Xiujun
Szeto, Kwok-Yip
Cheung, Wing Keung
Keywords: Phase transition
Random point pattern
Ising model
Issue Date: 22-Nov-2004
Citation: Physical review. E, v. 70, p. 056123, 2004
Abstract: 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 Bethe approximation. We find a linear relation between the critical temperature and the structural characteristics of the random point pattern, as described by the Aboav’s parameter. Numerical results and analytical calculation both yield this linear relation with similar slope, though the intercept is different due to Bethe approximation.
Rights: Physical Review E © (2004) American Physical Society. The Journal's web site is located at
Appears in Collections:PHYS Journal/Magazine Articles

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