Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1993-01-08
Phys. Rev. B48 (1993) 936
Physics
High Energy Physics
High Energy Physics - Lattice
33 pages, 12 figures (not included, available on request). Preprint FUB-HEP 19/92, HLRZ 77/92, September 1992
Scientific paper
10.1103/PhysRevB.48.936
We have simulated the three-dimensional Heisenberg model on simple cubic lattices, using the single-cluster Monte Carlo update algorithm. The expected pronounced reduction of critical slowing down at the phase transition is verified. This allows simulations on significantly larger lattices than in previous studies and consequently a better control over systematic errors. In one set of simulations we employ the usual finite-size scaling methods to compute the critical exponents $\nu,\alpha,\beta,\gamma, \eta$ from a few measurements in the vicinity of the critical point, making extensive use of histogram reweighting and optimization techniques. In another set of simulations we report measurements of improved estimators for the spatial correlation length and the susceptibility in the high-temperature phase, obtained on lattices with up to $100^3$ spins. This enables us to compute independent estimates of $\nu$ and $\gamma$ from power-law fits of their critical divergencies.
Holm Christian
Janke Wolfhard
No associations
LandOfFree
Critical Exponents of the Classical 3D Heisenberg Model: A Single-Cluster Monte Carlo Study does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Critical Exponents of the Classical 3D Heisenberg Model: A Single-Cluster Monte Carlo Study, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Critical Exponents of the Classical 3D Heisenberg Model: A Single-Cluster Monte Carlo Study will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-119736