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


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In this paper we propose and realize an algorithm for exact calculation of partition function for planar graph models with binary variables. The complexity of the algorithm is O(N2) Experiments show good agreement with Onsager’s analytical solution for the two-dimensional Ising model of infinite size.

作者简介

Ya. Karandashev

Center of Optical Neural Technologies Scientific Research Institute for System Analysis RAS

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Email: Karandashev@niisi.ras.ru
俄罗斯联邦, Moscow

M. Malsagov

Center of Optical Neural Technologies Scientific Research Institute for System Analysis RAS

Email: Karandashev@niisi.ras.ru
俄罗斯联邦, Moscow

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