Far Eastern Mathematical Journal

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Multispin Monte Carlo Method


Makarova K.V., Makarov A.G., Padalko M.A., Strongin V.S., Nefedev K.V.

2020, issue 2, Ñ. 212–220
DOI: https://doi.org/10.47910/FEMJ202020


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.

Keywords:
hybrid algorithm, multispin method, ground state, spin systems

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