NOTICE: Due to a lapse in annual appropriations, most of this website is not being updated. Learn more.

Form submissions will still be accepted but will not receive responses at this time. Sections of this site for programs using non-appropriated funds (such as NVLAP) or those that are excepted from the shutdown (such as CHIPS and NVD) will continue to be updated.

U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

PUBLICATIONS

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
Pub Type
Journals

Download Paper

https://doi.org/10.1007/s10955-014-1016-9

Keywords

Ising model, partition function
Computational science and Mathematics and statistics

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 October 16, 2025)

Issues

If you have any questions about this publication or are having problems accessing it, please contact [email protected].

Created May 21, 2014, Updated November 10, 2018
Was this page helpful?