Entropy spectrum of self-affine fractal interfaces created by contraction maps is investigated. Interfaces are created by a single (or multi-) generator(s) all of whose segments have the same anisotropy of scaling and different scaling factors. The whole interface is decomposed into many subsets and h (topological entropy), λ (decay exponent), DD (divider dimension) and DB (box dimension) of each subset are calculated. Entropy spectrum is obtained from the relation between h and λ. We find that H (Hurst or roughness exponent), DD and DB for only the remaining subset at n = ∞ are related as DD = 1/H and DB = 2 - H.
All Science Journal Classification (ASJC) codes
- Modelling and Simulation
- Geometry and Topology
- Applied Mathematics