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A Study of Phase Transition in an Array of Ferromagnetic Nanoparticles with the Dipole–Dipole Interaction Using Computer Simulation

  • ELECTRICAL AND MAGNETIC PROPERTIES
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Abstract

The ordering of a two-dimensional array of ferromagnetic particles with a dipole–dipole interaction has been studied by computer simulation. The Ising model and Wolff cluster algorithm have been used for computer simulation. Single-domain particles have been considered. The dipole–dipole interaction leads to antiferromagnetic ordering of the magnetizations of particles. The dependence of the temperature of antiferromagnetic ordering on the intensity of the dipole–dipole interaction has been calculated. It has been shown that this dependence obeys a logarithmic law. The behavior of the system in an external magnetic field has been studied. There is a critical value of magnetic-field intensity for an array of ferromagnetic particles that suppresses the antiferromagnetic order similar to that for continuous systems. It has been shown that the dependence of the critical magnetic-field strength on the intensity of the dipole–dipole interaction is linear.

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Funding

This work was supported by the Russian Foundation for Basic Research, project no. 20-07-00053.

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Authors and Affiliations

  1. Omsk State Technical University, 644050, Omsk, Russia

    S. V. Belim & O. V. Lyakh

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  1. S. V. Belim
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  2. O. V. Lyakh
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Correspondence to S. V. Belim.

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Translated by N. Podymova

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Belim, S.V., Lyakh, O.V. A Study of Phase Transition in an Array of Ferromagnetic Nanoparticles with the Dipole–Dipole Interaction Using Computer Simulation. Phys. Metals Metallogr. 123, 1049–1053 (2022). https://doi.org/10.1134/S0031918X22601202

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  • DOI: https://doi.org/10.1134/S0031918X22601202

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