Аннотация
This paper addresses the validity of radiative transfer equations
as a model for the energy density of waves propagating in highly
heterogeneous media. Comparisons between acoustic wave simulations
over domains of size comparable to 500 wavelengths in two space dimensions
and Monte Carlo simulations of radiative transfer equations are performed.
In the so-called weak coupling regime, the agreement between the
energy densities obtained by solving the wave equations and those
predicted by solving the radiative transfer equations is remarkable.
The domain of validity of the radiative transfer equations is assessed
by looking at the fluctuations in the energy density they predict
in the presence of small-volume defects in the underlying media.
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