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

Alves, Nelson A.; de Felicio, J. R. Drugowich; Hansmann, Ulrich H. E.

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

Authors

Alves, Nelson A.

de Felicio, J. R. Drugowich

Hansmann, Ulrich H. E.

Description

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 $ν$ 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.
22 pages, Latex, package graphicx, with 5 eps figures