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

Nelson A. Alves·J. R. Drugowich de Felicio·Ulrich H. E. Hansmann
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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 $ν$ 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.

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BibTeXRIS

Nelson A. Alves, J. R. Drugowich de Felicio, Ulrich H. E. Hansmann. 2000-04-12. Partition function zeros and leading order scaling correction of the 3D Ising model from multicanonical simulations. https://doi.org/10.1088/0305-4470%2F33%2F42%2F302

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