Calculation of Interaction between Ferromagnetic Solids Simplified by Symmetry Considerations

Authors

  • Leonardo Luiz e Castro Instituto de Física, Universidade de Brasília
  • Olavo Leopoldino da Silva Filho
  • Marcos Tiago de Amaral e Eloi

DOI:

https://doi.org/10.26512/2446-564X2017e13359

Keywords:

ferromagnetism, spheres, solid, magnetization

Abstract

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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References

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

FITZPATRICK, R. Classical Electromagnetism (lecture notes), http://farside.ph.utexas.edu/teaching/jk1/lectures/node61.html [On-line]. 2015. Disponibilidade: junho de 2017.

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

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

KENYON, K. E. Physics Essays 18, n. 2, 174 (2005).

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

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Published

2017-09-03

How to Cite

Castro, L. L. e, Filho, O. L. da S., & Eloi, M. T. de A. e. (2017). Calculation of Interaction between Ferromagnetic Solids Simplified by Symmetry Considerations. Physicae Organum, 3(2). https://doi.org/10.26512/2446-564X2017e13359

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