A functional renormalization method for wave propagation in random media
Abstract
We develop the exact renormalization group approach as a way to evaluate the effective speed of 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. Already 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.
Keywords
Cite
@article{arxiv.1612.03845,
title = {A functional renormalization method for wave propagation in random media},
author = {Federico Lamagna and Esteban Calzetta},
journal= {arXiv preprint arXiv:1612.03845},
year = {2017}
}