Abstract (may include machine translation)
The geometry of diffusion-limited aggregation clusters is mapped into single-valued functions by tracing the surface of the aggregate and recording the X (or Y) coordinate of the position of a walker moving along the perimeter of the cluster as a function of the arc length. Our numerical results and scaling arguments show that the related plots can be considered as self-affine functions whose scaling behavior is determined by the exponent H=1/D, where D is the fractal dimension of the aggregates.
Original language | English |
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Pages (from-to) | 6881-6883 |
Number of pages | 3 |
Journal | Physical Review A |
Volume | 41 |
Issue number | 12 |
DOIs | |
State | Published - 1990 |
Externally published | Yes |