In this work we show analytically and numerically that the localized regime of wave transport can be modeled as position-dependent diffusion with a diffusion coefficient that retains the memory of the source location. The dependence on the source diminishes when absorption is introduced.
P. Neupane and A. Yamilov, "Applicability of the Position-Dependent Diffusion Approach to Localized Transport through Disordered Waveguides," Physical Review B - Condensed Matter and Materials Physics, vol. 92, no. 1, pp. 014207-1-014207-5, American Physical Society (APS), Jul 2015.
The definitive version is available at http://dx.doi.org/10.1103/PhysRevB.92.014207
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