Critical behavior of the long-range Ising chain from the largest-cluster probability distribution.
Monte Carlo simulations of the one-dimensional Ising model with ferromagnetic interactions decaying with distance r as 1/r(1+sigma) are performed by applying the Swendsen-Wang cluster algorithm with cumulative probabilities. The critical behavior in the nonclassical critical regime corresponding to 0.5<sigma<1 is derived from finite-size scaling analysis of the largest cluster.
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