Abstract (may include machine translation)
The concept of multifractality is extended to self-affine fractals in order to provide a more complete description of fractal surfaces. We show that for a class of iteratively constructed self-affine functions there exists an infinite hierarchy of exponents Hq describing the scaling of the qth order height-height correlation function cq(x)xqqH. Possible applications to random walks and turbulent flows are discussed. It is demonstrated on the example of random walks along a chain that for stochastic lattice models leading to self-affine fractals Hq exhibits phase-transition-like behavior.
Original language | English |
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Pages (from-to) | 2730-2733 |
Number of pages | 4 |
Journal | Physical Review A |
Volume | 44 |
Issue number | 4 |
DOIs | |
State | Published - 1991 |
Externally published | Yes |