Astrophysical Fractals  an Overview and Prospects
Abstract
We review different astrophysical circumstances under which fractal structures have been identified so far, or are likely to be identified in the future. The observed fractals can be classified into 2 main groups: (1) fractal configurations in spacetime, materialising as fractals defined over the time axis at a given position in space, or over the physical configuration space at a fixed instant in time; and (2) fractals in parameter spaces. The theoretical interpretation of the origin of the spatial fractal geometry of the most conspicuous 'irregular' astronomical bodies is still wanting in the context of standard continuum models. In contrast, the less conventional discrete models (cellular automata) naturally produce such spatially fractal structures.
 Publication:

Vistas in Astronomy
 Pub Date:
 1990
 DOI:
 10.1016/00836656(90)90007U
 Bibcode:
 1990VA.....33..249P
 Keywords:

 Astronomical Models;
 Astrophysics;
 Fractals;
 Automata Theory;
 Computational Astrophysics;
 Differential Equations;
 Distribution Functions;
 Flow Equations;
 Fluid Mechanics;
 Molecular Clouds;
 Planetary Rings;
 Set Theory;
 SpaceTime Functions;
 Stellar Oscillations;
 Stochastic Processes;
 Astrophysics