Artículos de revistas
A functional renormalization method for wave propagation in random media
Lamagna, Federico Agustín; Calzetta, Esteban Adolfo; A functional renormalization method for wave propagation in random media; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 50; 31; 7-2017
Lamagna, Federico Agustín
Calzetta, Esteban Adolfo
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.