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

Katarina Uzelac; Zvonko Glumac; Ante Anicic

doi:10.1103/PhysRevE.63.037101

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

Statistical Mechanics 2009-10-31 v1

Authors: 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 $1/r^{1+\sigma}$ are performed by applying the Swendsen-Wang cluster algorithm with cumulative probabilities. The critical behavior in the non-classical critical regime corresponding to $0.5 <\sigma < 1$ is derived from the finite-size scaling analysis of the largest cluster.

Keywords

Ising model Monte Carlo simulation Swendsen-Wang cluster algorithm finite-size scaling critical behavior

Cite

@article{arxiv.cond-mat/0011306,
  title  = {Critical behavior of the long-range Ising chain from the largest-cluster probability distribution},
  author = {Katarina Uzelac and Zvonko Glumac and Ante Anicic},
  journal= {arXiv preprint arXiv:cond-mat/0011306},
  year   = {2009}
}

Comments

4 pages, 2 figures, in RevTeX, to appear in Phys. Rev. E (Feb 2001)

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