Name: NEW ALGORITHM FOR THE COMPUTATION OF THE PARTITION FUNCTION FOR THE ISING MODEL ON A SQUARE LATTICE
Keywords: mean field approximation, Condensed Matter (cond-mat), FOS: Physical sciences, Numerical methods in equilibrium statistical mechanics, antiferromagnets, Condensed Matter, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, world regords, magnetic susceptibility

New algorithm for the computation of the partition function for the Ising model on a square lattice

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jun 2003Embargo end date: 01 Jan 2003 English Publisher:World Scientific Pub Co Pte LtJournal:International Journal of Modern Physics C, volume 14, pages 689-694 (issn: 0129-1831, eissn: 1793-6586,

Authors: M. S. Magdoń-Maksymowicz; Krzysztof Malarz; B. Kawecka-Magiera; Krzysztof Kułakowski; A. Z. Maksymowicz;

doi: 10.1142/s012918310300484x , 10.48550/arxiv.cond-mat/0303323

arXiv: http://arxiv.org/abs/cond-mat/0303323

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

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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.

Related Organizations

Jagiellonian University
Poland
University of Agriculture in Krakow
Poland
AGH University of Science and Technology
Poland

Keywords

mean field approximation, Condensed Matter (cond-mat), FOS: Physical sciences, Numerical methods in equilibrium statistical mechanics, antiferromagnets, Condensed Matter, Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics, world regords, magnetic susceptibility

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