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- Title
Impurity transport in fractal media in the presence of a degrading diffusion barrier.
- Authors
Kondratenko, P.; Leonov, K.
- Abstract
We have analyzed the transport regimes and the asymptotic forms of the impurity concentration in a randomly inhomogeneous fractal medium in the case when an impurity source is surrounded by a weakly permeable degrading barrier. The systematization of transport regimes depends on the relation between the time t of emergence of impurity from the barrier and time t corresponding to the beginning of degradation. For t < t , degradation processes are immaterial. In the opposite situation, when t > t , the results on time intervals t < t can be formally reduced to the problem with a stationary barrier. The characteristics of regimes with t < t < t depend on the scenario of barrier degradation. For an exponentially fast scenario, the interval t < t < t is very narrow, and the transport regime occurring over time intervals t < t passes almost jumpwise to the regime of the problem without a barrier. In the slow power-law scenario, the transport over long time interval t < t < t occurs in a new regime, which is faster as compared to the problem with a stationary barrier, but slower than in the problem without a barrier. The asymptotic form of the concentration at large distances from the source over time intervals t < t has two steps, while for t > t , it has only one step. The more remote step for t < t and the single step for t > t coincide with the asymptotic form in the problem without a barrier.
- Subjects
FRACTALS; IMPURITY distribution in semiconductors; DIFFUSION barriers; SEMICONDUCTOR-metal boundaries; INHOMOGENEOUS materials
- Publication
Journal of Experimental & Theoretical Physics, 2017, Vol 125, Issue 2, p340
- ISSN
1063-7761
- Publication type
Article
- DOI
10.1134/S1063776117070056