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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Autores principales: Franco, M., Calzetta, E.
Formato: JOUR
Materias:
field theory methods
random media
waves
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_17518113_v48_n4_p_Franco
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_17518113_v48_n4_p_Franco
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spelling todo:paper_17518113_v48_n4_p_Franco2023-10-03T16:32:24Z Wave propagation in non-Gaussian random media Franco, M. Calzetta, E. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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
Franco, M.
Calzetta, E.
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.
format JOUR
author Franco, M.
Calzetta, E.
author_facet Franco, M.
Calzetta, E.
author_sort Franco, M.
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
url http://hdl.handle.net/20.500.12110/paper_17518113_v48_n4_p_Franco
work_keys_str_mv AT francom wavepropagationinnongaussianrandommedia
AT calzettae wavepropagationinnongaussianrandommedia
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