NEW ALGORITHM FOR THE COMPUTATION OF THE PARTITION FUNCTION FOR THE ISING MODEL ON A SQUARE LATTICE

2003/03/17 by K. Malarz, Krzysztof Malarz, M. S. Magdoń-Maksymowicz +6
Physics and Astronomy · #Complex Network Analysis Techniques #Opinion Dynamics and Social Influence #Theoretical and Computational Physics #cond-mat

paper · pdf · doi:10.1142/s012918310300484x

published as Int. J. Mod. Phys. C14 (2003) 689 · 7 pages, 3 figures, to appear in Int. J. Mod. Phys. C

arxiv created 2003/03/17 · openalex publication_date 2003/06/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A new and efficient algorithm is presented for the calculation of the partition function in the S=±1 Ising model. As an example, we use the algorithm to obtain the thermal-dependence of the magnetic spin susceptibility of an Ising antiferromagnet for a 8×8 square lattice with open boundary conditions. The results agree qualitatively with the prediction of the Monte Carlo simulations and the experimental data, and they are better than the mean field approach results. For the 8×8 lattice, the algorithm reduces the computation time by nine orders of magnitude.

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