Abstract
The two-dimensional ± J random Ising model is studied numerically up to a system size 700×701 by using the Pfaffian method which gives exact free energy and correlation functions. The behavior of the specific heat at the paramagnetic-ferromagnetic phase boundary is analysed by using logarithmic type, double-logarithmic type and cusp type of regression equations. It is found that the logarithmic divergence is the most natural behavior. The critical temperature is determined accurately.
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