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Abstract:

We develop the exact renormalization group approach as a way to evaluate the effective speed of the propagation of a scalar wave in a medium with random inhomogeneities. We use the Martin-Siggia-Rose formalism to translate the problem into a non equilibrium field theory one, and then consider a sequence of models with a progressively lower infrared cutoff; in the limit where the cutoff is removed we recover the problem of interest. As a test of the formalism, we compute the effective dielectric constant of an homogeneous medium interspersed with randomly located, interpenetrating bubbles. A simple approximation to the renormalization group equations turns out to be equivalent to a self-consistent two-loops evaluation of the effective dielectric constant. © 2017 IOP Publishing Ltd.

Registro:

Documento: Artículo
Título:A functional renormalization method for wave propagation in random media
Autor:Lamagna, F.; Calzetta, E.
Filiación:Physics Department, Buenos Aires University, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina
IFIBA-CONICET, Argentina
Palabras clave:field theory methods; random media; waves
Año:2017
Volumen:50
Número:31
DOI: http://dx.doi.org/10.1088/1751-8121/aa77dd
Título revista:Journal of Physics A: Mathematical and Theoretical
Título revista abreviado:J. Phys. Math. Theor.
ISSN:17518113
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17518113_v50_n31_p_Lamagna

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Citas:

---------- APA ----------
Lamagna, F. & Calzetta, E. (2017) . A functional renormalization method for wave propagation in random media. Journal of Physics A: Mathematical and Theoretical, 50(31).
http://dx.doi.org/10.1088/1751-8121/aa77dd
---------- CHICAGO ----------
Lamagna, F., Calzetta, E. "A functional renormalization method for wave propagation in random media" . Journal of Physics A: Mathematical and Theoretical 50, no. 31 (2017).
http://dx.doi.org/10.1088/1751-8121/aa77dd
---------- MLA ----------
Lamagna, F., Calzetta, E. "A functional renormalization method for wave propagation in random media" . Journal of Physics A: Mathematical and Theoretical, vol. 50, no. 31, 2017.
http://dx.doi.org/10.1088/1751-8121/aa77dd
---------- VANCOUVER ----------
Lamagna, F., Calzetta, E. A functional renormalization method for wave propagation in random media. J. Phys. Math. Theor. 2017;50(31).
http://dx.doi.org/10.1088/1751-8121/aa77dd