Partition function zeros and leading-order scaling correction of the 3D Ising model from multicanonical simulations

Citation
Na. Alves et al., Partition function zeros and leading-order scaling correction of the 3D Ising model from multicanonical simulations, J PHYS A, 33(42), 2000, pp. 7489-7498
Citations number
43
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
33
Issue
42
Year of publication
2000
Pages
7489 - 7498
Database
ISI
SICI code
0305-4470(20001027)33:42<7489:PFZALS>2.0.ZU;2-Q
Abstract
The density of states for the three-dimensional Ising model is calculated w ith high precision by means of multicanonical simulations. This allows us t o estimate the leading partition function zeros for lattice sizes up to L = 32. We have evaluated the critical exponent nu and the correction to scali ng through an analysis of a multi-parameter fit and of the Bulirsch-Stoer ( BST) extrapolation algorithm. The performance of the BST algorithm is also explored in case of the 2D Ising model, where the exact partition function zeros are known.