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JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2020 Volume 20, Number 2, Pages 212–220 (Mi dvmg433)

This article is cited in 1 paper

Multispin Monte Carlo Method

K. V. Makarovaab, A. G. Makarovab, M. A. Padalkoab, V. S. Stronginab, K. V. Nefedevab

a Far Eastern Federal University, Vladivostok
b Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok

Abstract: The article offers a Monte Carlo cluster method for numerically calculating a statistical sample of the state space of vector models. The statistical equivalence of subsystems in the Ising model and quasi-Markov random walks can be used to increase the efficiency of the algorithm for calculating thermodynamic means. The cluster multispin approach extends the computational capabilities of the Metropolis algorithm and allows one to find configurations of the ground and low-energy states.

Key words: hybrid algorithm, multispin method, ground state, spin systems.

UDC: 004.021

MSC: Primary 68Q87; Secondary 68W20

Received: 28.08.2019

DOI: 10.47910/FEMJ202020



© Steklov Math. Inst. of RAS, 2024