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arXiv · 1611.00922

Polynomial algorithm for exact calculation of partition function for binary spin model on planar graphs

Yakov M. Karandashev·Magomed Yu. Malsagov
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Abstract

In this paper we propose and realize (the code is publicly available at https://github.com/Thrawn1985/2D-Partition-Function) an algorithm for exact calculation of partition function for planar graph models with binary spins. The complexity of the algorithm is O(N^2). Test experiments shows good agreement with Onsager's analytical solution for two-dimensional Ising model of infinite size.

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Yakov M. Karandashev, Magomed Yu. Malsagov. 2016-11-03. Polynomial algorithm for exact calculation of partition function for binary spin model on planar graphs. https://arxiv.org/abs/1611.00922

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