Influence of the number of granules on the magnetization of multi-core particles

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Abstract

We investigated the static magnetic response of the multi-core particles (MCP) with a different number of nanocores. The cases of the MCPs containing 7, 8, 32, 33, 123 and 136 granules are considered. Their position remains unchanged in the nodes of a regular cubic lattice, but the magnetic moments can freely rotate inside the cores. The magnetization of the MCPs is determined by computer simulation using the Monte Carlo method and theoretically.

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About the authors

S. А. Sokolsky

Ural Federal University

Author for correspondence.
Email: Sokolsky2304@gmail.com
Russian Federation, Ekaterinburg

A. Yu. Solovyova

Ural Federal University

Email: Sokolsky2304@gmail.com
Russian Federation, Ekaterinburg

E. A. Elfimova

Ural Federal University

Email: Sokolsky2304@gmail.com
Russian Federation, Ekaterinburg

А. О. Ivanov

Ural Federal University

Email: Sokolsky2304@gmail.com
Russian Federation, Ekaterinburg

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Supplementary files

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2. Fig. 1. The process of forming a polyhedral particle by superimposing a sphere on a cubic lattice for even (a) and odd (b) systems.

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3. Fig. 2. Internal structure of the studied multigranular particles. Case 7 (a), 33 (b) and 123 (c) granules located at the nodes of a cubic lattice, with a granule located at the center of the particle; case 8 (d), 32 (e) and 136 (e) granules located at the nodes of a cubic lattice, the center of which coincides with the center of the particle. In all cases, the external magnetic field is applied along the Oz axis.

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4. Fig. 3. The process of decreasing the volume concentration φ by increasing the distance between adjacent granules l for even (a) and odd (b) systems.

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5. Fig. 4. Magnetic response of the system M as a function depending on the magnitude of the external magnetic field α, for λ=3 at φ = 0.1 for an even system (a–c) and φ = 0.2 for an odd system (d–e). The number of granules N in the considered models is 7(a), 33(b), 123(c), 8(d), 32(e), and 136(e), respectively. The dots indicate the results of computer simulation. The red line corresponds to theoretical data (equations (9) and (11)), the blue line corresponds to the single-particle Langevin theory ML(α) = L(α).

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