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

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.

preprint2016arXivOpen access
Yakov M. KarandashevMagomed Yu. Malsagov
cond-mat.stat-mechphysics.comp-phData Structures and Algorithmscond-mat.dis-nn
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Yakov M. KarandashevMagomed Yu. Malsagov

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