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Phase transition of a one-dimensional Ising model with distance-dependent connections
YunFeng Chang1, Liang Sun, Xu Cai
1Complexity Science Center, Institute of Particle Physics, Huazhong Normal University, Wuhan 430079, People's Republic of China.
Abstract:
The critical behavior of the Ising model on a one-dimensional network, which has long-range connections at distances l>1 with the probability theta(l) approximately l(-m), is studied by using Monte Carlo simulations. Through analyzing the Ising model on networks with different m values, this paper discusses the impact of the global correlation, which decays with the increase of m, on the phase transition of the Ising model. Adding the analysis of the finite-size scaling of the order parameter [M], it is observed that in the whole range of 0
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