Abstract:
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.
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Citas:
---------- APA ----------
Franco, M. & Calzetta, E.
(2015)
. Wave propagation in non-Gaussian random media. Journal of Physics A: Mathematical and Theoretical, 48(4).
http://dx.doi.org/10.1088/1751-8113/48/4/045206---------- CHICAGO ----------
Franco, M., Calzetta, E.
"Wave propagation in non-Gaussian random media"
. Journal of Physics A: Mathematical and Theoretical 48, no. 4
(2015).
http://dx.doi.org/10.1088/1751-8113/48/4/045206---------- MLA ----------
Franco, M., Calzetta, E.
"Wave propagation in non-Gaussian random media"
. Journal of Physics A: Mathematical and Theoretical, vol. 48, no. 4, 2015.
http://dx.doi.org/10.1088/1751-8113/48/4/045206---------- VANCOUVER ----------
Franco, M., Calzetta, E. Wave propagation in non-Gaussian random media. J. Phys. Math. Theor. 2015;48(4).
http://dx.doi.org/10.1088/1751-8113/48/4/045206