Parallel Invaded Cluster Algorithm for the Ising Model
Yongsoo Choi, Jon Machta, Pablo Tamayo, Lincoln Chayes
TL;DR
This paper introduces a parallel invaded cluster algorithm for the Ising model, demonstrating efficient large-scale simulations and providing precise estimates of critical exponents without critical slowing down.
Contribution
It presents a novel parallel implementation of the invaded cluster algorithm and reports large-scale simulation results for the 2D and 3D Ising models.
Findings
No evidence of critical slowing down in 3D Ising model
Estimated magnetic exponent beta/nu = 0.518 ± 0.001
Performed simulations up to 4096^2 and 512^3 lattice sizes
Abstract
A parallel version of the invaded cluster algorithm is described. Results from large scale (up to 4096^2 and 512^3) simulations of the Ising model are reported. No evidence of critical slowing down is found for the three-dimensional Ising model. The magnetic exponent is estimated to be 2.482 \pm .001 (beta/nu = 0.518 pm .001) for the three-dimensional Ising model.
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