Wave propagation in non-Gaussian random media

We develop a compact perturbative series for acoustic wave propagation in a medium with a non-Gaussian stochastic speed of sound. We use Martin-Siggia and Rose auxiliary field techniques to render the classical wave propagation problem into a 'quantum' field theory one, and then frame this...

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Detalles Bibliográficos
Publicado: 2015
Materias:
field theory methods
random media
waves
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17518113_v48_n4_p_Franco
http://hdl.handle.net/20.500.12110/paper_17518113_v48_n4_p_Franco
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_17518113_v48_n4_p_Franco
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spelling paper:paper_17518113_v48_n4_p_Franco2023-06-08T16:28:44Z Wave propagation in non-Gaussian random media field theory methods random media waves We develop a compact perturbative series for acoustic wave propagation in a medium with a non-Gaussian stochastic speed of sound. We use Martin-Siggia and Rose auxiliary field techniques to render the classical wave propagation problem into a 'quantum' field theory one, and then frame this problem within the so-called Schwinger-Keldysh of closed time-path (CTP) formalism. Variation of the so-called two-particle irreducible (2PI) effective action (EA), whose arguments are both the mean fields and the irreducible two point correlations, yields the Schwinger-Dyson and the Bethe-Salpeter equations. We work out the loop expansion of the 2PI CTP EA and show that, in the paradigmatic problem of overlapping spherical intrusions in an otherwise homogeneous medium, non-Gaussian corrections might be much larger than Gaussian ones at the same order of loops. © 2015 IOP Publishing Ltd. 2015 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17518113_v48_n4_p_Franco http://hdl.handle.net/20.500.12110/paper_17518113_v48_n4_p_Franco
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic field theory methods
random media
waves
spellingShingle field theory methods
random media
waves
Wave propagation in non-Gaussian random media
topic_facet field theory methods
random media
waves
description We develop a compact perturbative series for acoustic wave propagation in a medium with a non-Gaussian stochastic speed of sound. We use Martin-Siggia and Rose auxiliary field techniques to render the classical wave propagation problem into a 'quantum' field theory one, and then frame this problem within the so-called Schwinger-Keldysh of closed time-path (CTP) formalism. Variation of the so-called two-particle irreducible (2PI) effective action (EA), whose arguments are both the mean fields and the irreducible two point correlations, yields the Schwinger-Dyson and the Bethe-Salpeter equations. We work out the loop expansion of the 2PI CTP EA and show that, in the paradigmatic problem of overlapping spherical intrusions in an otherwise homogeneous medium, non-Gaussian corrections might be much larger than Gaussian ones at the same order of loops. © 2015 IOP Publishing Ltd.
title Wave propagation in non-Gaussian random media
title_short Wave propagation in non-Gaussian random media
title_full Wave propagation in non-Gaussian random media
title_fullStr Wave propagation in non-Gaussian random media
title_full_unstemmed Wave propagation in non-Gaussian random media
title_sort wave propagation in non-gaussian random media
publishDate 2015
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17518113_v48_n4_p_Franco
http://hdl.handle.net/20.500.12110/paper_17518113_v48_n4_p_Franco
_version_ 1768546088850030592

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