Partition function zeros and leading order scaling correction of the 3D Ising model from multicanonical simulations
Statistical Mechanics
2008-11-26 v1 High Energy Physics - Lattice
Abstract
The density of states for the three-dimensional Ising model is calculated with high-precision from multicanonical simulations. This allows us to estimate the leading partition function zeros for lattice sizes up to L=32. Combining previous statistics for smaller lattice sizes, we have evaluated the correction to scaling and the critical exponent through out an analysis of a multi-parameter fit and of 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.
Keywords
Cite
@article{arxiv.cond-mat/0004199,
title = {Partition function zeros and leading order scaling correction of the 3D Ising model from multicanonical simulations},
author = {Nelson A. Alves and J. R. Drugowich de Felicio and Ulrich H. E. Hansmann},
journal= {arXiv preprint arXiv:cond-mat/0004199},
year = {2008}
}
Comments
22 pages, Latex, package graphicx, with 5 eps figures