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- W1657899337 abstract "We have investigated the anomalous scaling behaviour of the Ising model on small-world networks based on 2- and 3-dimensional lattices using Monte Carlo simulations. Our main result is that even at low $p$, the shift in the critical temperature $Delta T_c$ scales as $p^{s}$, with $s approx 0.50$ for 2-D systems, $s approx 0.698$ for 3-D and $s approx 0.75$ for 4-D. We have also verified that a $z$-preserving rewiring algorithm still exhibits small-world effects and yet is more directly comparable with the conventional Ising model; the small-world effect is due to enhanced long-range correlations and not the change in effective dimension. We find the critical exponents $beta$ and $nu$ exhibit a monotonic change between an Ising-like transition and mean-field behaviour in 2- and 3-dimensional systems." @default.
- W1657899337 created "2016-06-24" @default.
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- W1657899337 date "2006-11-29" @default.
- W1657899337 modified "2023-09-25" @default.
- W1657899337 title "Ising Model Scaling Behaviour on z-Preserving Small-World Networks" @default.
- W1657899337 cites W1558680194 @default.
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- W1657899337 doi "https://doi.org/10.48550/arxiv.cond-mat/0611763" @default.
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