Electromagnetic fields in fractal continua

Alexander S. Balankin; Baltasar Mena; Julián Patiño; Daniel Morales

doi:10.1016/j.physleta.2013.01.030

Electromagnetic fields in fractal continua

Alexander S. Balankin, Baltasar Mena, Julián Patiño, Daniel Morales

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Zacatenco

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

64 Citas (Scopus)

Resumen

Fractal continuum electrodynamics is developed on the basis of a model of three-dimensional continuum Φ_D³∩E³ 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 F^α 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.

Idioma original	Inglés
Páginas (desde-hasta)	783-788
Número de páginas	6
Publicación	Physics Letters, Section A: General, Atomic and Solid State Physics
Volumen	377
N.º	10-11
DOI	https://doi.org/10.1016/j.physleta.2013.01.030
Estado	Publicada - 1 abr. 2013

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title = "Electromagnetic fields in fractal continua",

abstract = "Fractal continuum electrodynamics is developed on the basis of a model of three-dimensional continuum ΦD3∩E3 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 Fα 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.",

keywords = "Electrodynamics, Fractal media, Fractional metric",

author = "Balankin, {Alexander S.} and Baltasar Mena and Juli{\'a}n Pati{\~n}o and Daniel Morales",

note = "Funding Information: The authors thank Rodolfo Camacho-Vel{\'a}zquez from the Mexican Petroleum Company (PEMEX), Yannis C. Yortsos (University of Southern California), Armando Garc{\'i}a Jaramillo (TEMPLE), Carlos Lira-Galeana (Mexican Petroleum Institute) and Michael Shapiro (National Polytechnic Institute) for fruitful and clarifying discussions. This work was supported by the PEMEX under the research SENER-CONACYT Grants No. 116458 and No. 143927 .",

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doi = "10.1016/j.physleta.2013.01.030",

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AU - Balankin, Alexander S.

AU - Mena, Baltasar

AU - Patiño, Julián

AU - Morales, Daniel

N1 - Funding Information: The authors thank Rodolfo Camacho-Velázquez from the Mexican Petroleum Company (PEMEX), Yannis C. Yortsos (University of Southern California), Armando García Jaramillo (TEMPLE), Carlos Lira-Galeana (Mexican Petroleum Institute) and Michael Shapiro (National Polytechnic Institute) for fruitful and clarifying discussions. This work was supported by the PEMEX under the research SENER-CONACYT Grants No. 116458 and No. 143927 .

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N2 - Fractal continuum electrodynamics is developed on the basis of a model of three-dimensional continuum ΦD3∩E3 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 Fα 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.

AB - Fractal continuum electrodynamics is developed on the basis of a model of three-dimensional continuum ΦD3∩E3 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 Fα 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.

KW - Electrodynamics

KW - Fractal media

KW - Fractional metric

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U2 - 10.1016/j.physleta.2013.01.030

DO - 10.1016/j.physleta.2013.01.030

M3 - Artículo

SN - 0375-9601

VL - 377

SP - 783

EP - 788

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 10-11

ER -

Electromagnetic fields in fractal continua

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