Electromagnetic fields in fractal continua
Por:
Balankin A.S., Mena B., Patino, J, Morales D.
Publicada:
1 abr 2013
Categoría:
Physics and Astronomy (miscellaneous)
Resumen:
Fractal continuum electrodynamics is developed on the basis of a model of three-dimensional continuum FD3nE3 with a fractal metric. The generalized forms of Maxwell equations are derived employing the local fractional vector calculus related to the Hausdorff derivative. The difference between the fractal continuum electrodynamics based on the fractal metric of continua with Euclidean topology and the electrodynamics in fractional space Fa accounting the fractal topology of continuum with the Euclidean metric is outlined. Some electromagnetic phenomena in fractal media associated with their fractal time and space metrics are discussed. © 2013 Elsevier B.V. All rights reserved.
Filiaciones:
Balankin A.S.:
Grupo Mecánica Fractal, Instituto Politécnico Nacional, México D.F. 07738, Mexico
Mena B.:
Univ Nacl Autonoma Mexico, Inst Ingn, Mexico City 04510, DF, Mexico
Morales D.:
Instituto Mexicano del Petroleo, Mexico D.F. 07730, Mexico
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