Premium
The realization of the generalized transfer equation in a medium with fractal geometry
Author(s) -
Nigmatullin R. R.
Publication year - 1986
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221330150
Subject(s) - fractal , realization (probability) , diffusion equation , diffusion , geometry , mathematics , porous medium , transfer (computing) , diffusion process , mathematical analysis , physics , porosity , computer science , materials science , thermodynamics , engineering , innovation diffusion , metric (unit) , knowledge management , operations management , parallel computing , composite material , statistics
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.