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Critical behavior of the long-range Ising chain from the largest-cluster probability distribution

Katarina Uzelac·Zvonko Glumac·Ante Anicic
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Abstract

Monte Carlo simulations of the 1D Ising model with ferromagnetic interactions decaying with distance $r$ as $1/r^{1+σ}$ are performed by applying the Swendsen-Wang cluster algorithm with cumulative probabilities. The critical behavior in the non-classical critical regime corresponding to $0.5 <σ< 1$ is derived from the finite-size scaling analysis of the largest cluster.

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Katarina Uzelac, Zvonko Glumac, Ante Anicic. 2000-11-17. Critical behavior of the long-range Ising chain from the largest-cluster probability distribution. https://doi.org/10.1103/physreve.63.037101

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