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A Binomial Approximation Method for the Ising Model



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


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.
Journal of Statistical Physics


Ising model, partition function


Beichl, I. , Streib, A. , Streib, N. and Sullivan, F. (2014), A Binomial Approximation Method for the Ising Model, Journal of Statistical Physics, [online], (Accessed June 16, 2024)


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Created May 21, 2014, Updated November 10, 2018