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A Binomial Approximation Method for the Ising Model

Published

Author(s)

Isabel M. Beichl, Amanda A. Streib, Noah S. Streib, Francis Sullivan

Abstract

A large portion of the complexity inherent to the Ising model can be captures with a trivial amount of computation. in this work, we support this claim by defining an approximation to the partition function and other thermodynamic quantities of the Ising model that requires no algorithm at all, only a formula. This approximation, which uses the high temperature expansion, is solely based on the binomial distribution and performs very well at low temperatures. At high temperatures, we provide and alternative approximation, which also serves as a lower bound on the partition function and is trivial to compute.. We provide both theoretical and experimental evidence to support the strength of these approximations.
Citation
Journal of Statistical Physics
Volume
156

Keywords

Ising model, partition function

Citation

Beichl, I. , Streib, A. , Streib, N. and Sullivan, F. (2014), A Binomial Approximation Method for the Ising Model, Journal of Statistical Physics, [online], https://doi.org/10.1007/s10955-014-1016-9 (Accessed June 16, 2024)

Issues

If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.

Created May 21, 2014, Updated November 10, 2018