Transfer across Random versus Deterministic Fractal Interfaces

Details Transfer across Random versus Deterministic Fractal Interfaces Transfer across Random versus Deterministic Fractal Interfaces

2000-01-19

arxiv.org/abs/cond-mat/0001273v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 6 figures

Scientific paper

10.1103/PhysRevLett.84.5776

A numerical study of the transfer across random fractal surfaces shows that their responses are very close to the response of deterministic model geometries with the same fractal dimension. The simulations of several interfaces with prefractal geometries show that, within very good approximation, the flux depends only on a few characteristic features of the interface geometry: the lower and higher cut-offs and the fractal dimension. Although the active zones are different for different geometries, the electrode reponses are very nearly the same. In that sense, the fractal dimension is the essential "universal" exponent which determines the net transfer.

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