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JOURNALS // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika // Archive

Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2025 Number 4, Pages 79–84 (Mi vmumm4710)

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Interaction of two spherical bodies made of anizotropic magnetic materials in a homogeneous magnetic field

D. I. Merkulova, D. A. Pelevinab, V. A. Turkova, V. A. Naletovaa

a Lomonosov Moscow State University, Institute of Mechanics
b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The article considers the interaction of two spherical bodies made of an anisotropic magnetizable material in an applied uniform magnetic field. The force acting on one of these bodies from the non-uniform magnetic field induced by the other body is obtained and investigated analytically. It is shown that this force can be represented as the force of interaction of two dipoles with special magnetic moments. Calculations of the magnetic force values for different directions of the body's anisotropy vectors and the magnetic field are made. A significant effect of anisotropy on the magnitude and direction of the magnetic force between the bodies is shown.

Key words: anisotropic magnetizable bodies, magnetic field, magnetic force between bodies.

UDC: 532.582

Received: 18.10.2024

DOI: 10.55959/MSU0579-9368-1-66-4-14


 English version:
Moscow University Mathematics Bulletin, Moscow University Måchanics Bulletin, 2025, 80:4, 178–183


© Steklov Math. Inst. of RAS, 2026