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

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.

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

References in corpus (3)

• The Largest Cluster in Subcritical Percolation
• Test of renormalization predictions for universal finite-size scaling functions
• Optimized energy calculation in lattice systems with long-range interactions

Cited by in corpus (5)

• Relations between Short Range and Long Range Ising models
• Long-range multi-scalar models at three loops
• Fast Flat-Histogram Method for Generalized Spin Models
• Addendum: Long-range multi-scalar models at three loops
• One-dimensional long-range Ising model: two (almost) equivalent approximations