Abstract:
Two-dimensional Born-Infeld electrostatic fields behaving as the superposition of two pointlike charges in the linearized (Maxwellian) limit are investigated by means of a nonholomorphic mapping of the complex plane. The changes in the Coulombian interaction between two charges in Born-Infeld theory are computed. Remarkably, the force between equal charges goes to zero as they approach each other. © 2008 The American Physical Society.
Registro:
Documento: |
Artículo
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Título: | Born-Infeld corrections to Coulombian interactions |
Autor: | Ferraro, R.; Lipchak, M.E. |
Filiación: | Instituto de Astronomía y Física del Espacio, Casilla de Correo 67, Sucursal 28, 1428 Buenos Aires, Argentina Departamento de Física, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina
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Palabras clave: | Electric fields; Electron energy levels; Maxwell equations; Born-Infeld corrections; Coulombian interactions; Nonholomorphic mapping; Coulomb interactions |
Año: | 2008
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Volumen: | 77
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Número: | 4
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DOI: |
http://dx.doi.org/10.1103/PhysRevE.77.046601 |
Título revista: | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
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Título revista abreviado: | Phys. Rev. E Stat. Nonlinear Soft Matter Phys.
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ISSN: | 15393755
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CODEN: | PLEEE
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v77_n4_p_Ferraro |
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- Notice that the dependence of the Lagrangian on S and P in Eq. 1 varies with the dimension. Expression 1 is the result for 3+1 dimensions. Instead, det (gij + b-1 Fij) =1+ b-2 2S in 2+1 dimensions. Electrostatic solutions have P=0, so the difference is irrelevant in this case. Therefore, our results can be regarded both as describing the Born-Infeld electrostatic interaction between pointlike charges in 2+1 dimensions or parallel charged lines in 3+1 dimensions
Citas:
---------- APA ----------
Ferraro, R. & Lipchak, M.E.
(2008)
. Born-Infeld corrections to Coulombian interactions. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 77(4).
http://dx.doi.org/10.1103/PhysRevE.77.046601---------- CHICAGO ----------
Ferraro, R., Lipchak, M.E.
"Born-Infeld corrections to Coulombian interactions"
. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 77, no. 4
(2008).
http://dx.doi.org/10.1103/PhysRevE.77.046601---------- MLA ----------
Ferraro, R., Lipchak, M.E.
"Born-Infeld corrections to Coulombian interactions"
. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 77, no. 4, 2008.
http://dx.doi.org/10.1103/PhysRevE.77.046601---------- VANCOUVER ----------
Ferraro, R., Lipchak, M.E. Born-Infeld corrections to Coulombian interactions. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2008;77(4).
http://dx.doi.org/10.1103/PhysRevE.77.046601