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

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 $\nu$ 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

References in corpus (2)

• Improved high-temperature expansion and critical equation of state of three-dimensional Ising-like systems
• Partition Function Zeros and Finite Size Scaling of Helix-Coil Transitions in a Polypeptide

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