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• W2016024538 abstract "The Ising model in uncorrelated scale-free networks has been studied by means of Monte Carlo simulations. These networks are characterized by a degree (or connectivity) distribution $P(k)ensuremath{sim}{k}^{ensuremath{-}ensuremath{gamma}}$. The ferromagnetic-paramagnetic transition temperature has been studied as a function of the parameter $ensuremath{gamma}$. For $ensuremath{gamma}>3$ our results agree with earlier analytical calculations, which found a phase transition at a temperature ${T}_{c}(ensuremath{gamma})$ in the thermodynamic limit. For $ensuremath{gamma}ensuremath{leqslant}3$, a ferromagnetic-paramagnetic crossover occurs at a size-dependent temperature ${T}_{co}$, and the system is in the ordered ferromagnetic state at any temperature for a system size $Nensuremath{rightarrow}ensuremath{infty}$. For $ensuremath{gamma}=3$ and large enough $N$, the crossover temperature is found to be ${T}_{co}ensuremath{approx}Aphantom{rule{0.2em}{0ex}}mathrm{ln}phantom{rule{0.2em}{0ex}}N$, with a prefactor $A$ proportional to the mean degree. For $2<ensuremath{gamma}<3$, we obtain ${T}_{co}ensuremath{sim}⟨k⟩{N}^{z}$, with an exponent $z$ that decreases as $ensuremath{gamma}$ increases. This exponent is found to be lower than predicted by earlier calculations." @default.
• W2016024538 created "2016-06-24" @default.
• W2016024538 creator A5016596029 @default.
• W2016024538 date "2004-06-17" @default.
• W2016024538 modified "2023-10-01" @default.
• W2016024538 title "Ising model in scale-free networks: A Monte Carlo simulation" @default.
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• W2016024538 doi "https://doi.org/10.1103/physreve.69.067109" @default.
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