The realization of the generalized transfer equation in a medium with fractal geometry

Abstract It is shown that in a medium representing an example of “Koch's tree”‐type fractional structure the diffusion process is described by a generalized transfer equation in partial derivations. Such a structure can serve as a model of a porous medium where the diffusion process takes place. The geometry of an inhomogeneous medium can serve as the dicisive factor in the explanation of the “universal response” phenomenon. A range of frequencies is found where such “superslow” diffusion process can be observed.

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