The realization of the generalized transfer equation in a medium with fractal geometry
- 1 January 1986
- journal article
- research article
- Published by Wiley in Physica Status Solidi (b)
- Vol. 133 (1) , 425-430
- https://doi.org/10.1002/pssb.2221330150
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.Keywords
This publication has 9 references indexed in Scilit:
- Transfer processes in fractal mediaJournal of Statistical Physics, 1984
- On the Theory of Relaxation for Systems with “Remnant” MemoryPhysica Status Solidi (b), 1984
- To the Theoretical Explanation of the “Universal Response”Physica Status Solidi (b), 1984
- Introduction to transfer and motion in fractal media: The geometry of kineticsSolid State Ionics, 1983
- The dielectric behaviour of condensed matter and its many-body interpretationContemporary Physics, 1983
- Dielectric Relaxation and the Structure of Condensed MatterPhysica Scripta, 1982
- Dielectric behaviour of materials undergoing dipole alignment transitionsPhilosophical Magazine Part B, 1980
- A relationship between the amplitude of the susceptibility and the frequency of the maximum dielectric lossNature, 1979
- The ‘universal’ dielectric responseNature, 1977