Phase transition of a one-dimensional Ising model with distance-dependent connections

Details Phase transition of a one-dimensional Ising model with distance-dependent connections Phase transition of a one-dimensional Ising model with distance-dependent connections

2007-03-21

arxiv.org/abs/nlin/0703040v5

Nonlinear Sciences

Pattern Formation and Solitons

5 pages,8 figures

Scientific paper

10.1103/PhysRevE.76.021101

The critical behavior of Ising model on a one-dimensional network, which has long-range connections at distances $l>1$ with the probability $\Theta(l)\sim l^{-m}$, is studied by using Monte Carlo simulations. Through studying 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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