Calculation of Interaction between Ferromagnetic Solids Simplified by Symmetry Considerations

Leonardo Luiz e Castro, Olavo Leopoldino da Silva Filho, Marcos Tiago de Amaral e Eloi


We discuss the integration of magnetic interaction between spheres and other solids. We show how to use tensors and their eigenvalues in that calculation in order to take advantage of symmetry properties to simplify the expressions. The calculation is gradually restricted to more symmetrical structures, until we reach the case of two homogeneously magnetized spheres arbitrarily positioned and oriented. This work may help future calculations of interaction between more complex objects, such as spheres with inhomogeneous magnetization, ellipsoids and partially paramagnetic solids.

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AHARONI, A. textit{IEEE Transactions on magnetics}, v. MAG-23, n. 3, 1853 (1987).

AHARONI, A. textit{Introduction to the theory of ferromagnetism}, Oxford: Oxford University Press, 2000.

FITZPATRICK, R. textit{Classical Electromagnetism (lecture notes)}, [On-line]. 2015. Disponibilidade: junho de 2017.

BATLLE, X., LABARTA, A. textit{Journal of Physics D: Applied Physics} textbf{35}, n. 6, R15 (2002).

PAREKH, K., UPADYAY, R. V., MEHTA, R. V. textit{Hyperfine Interactions} textbf{160}, n. 1, 211-217 (2005).

KENYON, K. E. textit{Physics Essays} textbf{18}, n. 2, 174 (2005).

GRIFFITHS, D. J. textit{Introduction to Electrodynamics}, New Jersey: Prentice Hall - Upper Saddle River (1999).


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Direitos autorais 2017 Leonardo Luiz e Castro, Olavo Leopoldino da Silva Filho, Marcos Tiago de Amaral e Eloi

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ISSN 2446-564X

Licença Creative CommonsPhysicae Organum é licenciado sob uma Licença Creative Commons Atribuição-NãoComercial-CompartilhaIgual 4.0.