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

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

2000-11-17

arxiv.org/abs/cond-mat/0011306v1

Phys. Rev. E 63, 037101 (2001)

Physics

Condensed Matter

Statistical Mechanics

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

Scientific paper

10.1103/PhysRevE.63.037101

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.

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