Filoche M, Sapoval B
Laboratoire de Physique de la Matière Condensée, C.N.R.S. Ecole Polytechnique, 91128 Palaiseau, France.
Phys Rev Lett. 2000 Jun 19;84(25):5776-9. doi: 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 cutoffs and the fractal dimension. Although the active zones are different for different geometries, the electrode responses are very nearly the same. In that sense, the fractal dimension is the essential "universal" exponent which determines the net transfer.
对随机分形表面上的传输进行的数值研究表明，它们的响应与具有相同分形维数的确定性模型几何形状的响应非常接近。对几种具有预分形几何形状的界面进行的模拟表明，在非常好的近似下，通量仅取决于界面几何形状的几个特征：下限和上限截止以及分形维数。尽管不同几何形状的活性区域不同，但电极响应几乎相同。从这个意义上说，分形维数是决定净传输的基本“通用”指数。
